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Title:
HEAT EXCHANGER SYSTEM AND METHOD
Document Type and Number:
WIPO Patent Application WO/2005/028983
Kind Code:
A1
Abstract:
A heat exchanger (500) includes a shell (510) and a sheet assembly (512) disposed within the shell (510). The sheet assembly (512) may include a number of substantially parallel rectangular sheets (580) configured such that they define first passageways (582) extending generally in a first direction and second passageways (586) extending generally in a second direction perpendicular to the first direction. The sheet assembly (512) may be configured such that communicating a first fluid through the first passageways (582) and communicating a second fluid through the second passageways (586) causes heat transfer between the first and second fluids. For example, the first fluid may comprise high pressure vapor and the second fluid may comprise a liquid solution such that the communicating the high pressure vapor and the liquid solution through the first and second passageways, respectively, causes at least a portion of the high pressure vapor to condense and at least a portion of liquid solution to boil off.

Inventors:
HOLTZAPPLE MARK T (US)
Application Number:
PCT/US2004/030660
Publication Date:
March 31, 2005
Filing Date:
September 20, 2004
Export Citation:
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Assignee:
TEXAS A & M UNIV SYS (US)
HOLTZAPPLE MARK T (US)
International Classes:
B01D1/26; B01D1/28; F04F5/46; F04F5/54; F28D9/00; F28F3/04; F28F21/06; (IPC1-7): F28D9/00; F28F3/04; F28F21/06
Foreign References:
DE4019991A11992-01-02
GB2054819A1981-02-18
FR2230403A11974-12-20
US5837096A1998-11-17
Other References:
See also references of EP 1680639A1
Attorney, Agent or Firm:
Williams, Bradley P. (2001 Ross Avenue Dallas, TX, US)
Download PDF:
Claims:
WHAT IS CLAIMED IS:
1. A heat exchanger apparatus, comprising: a shell; and a sheet assembly disposed within the shell, the sheet assembly comprising a plurality of sheets arranged such that the plurality of sheets define a plurality of passageways operable to communicate at least two fluids within the shell such that heat is transferred between the at least two fluids.
2. The heat exchanger apparatus of Claim 1, wherein: the shell comprises a substantially cylindrical portion extending in a first direction; each of the plurality of sheets extending in a second direction substantially perpendicular to the first direction; and each of the plurality of passageways defined by a pair of adjacent and substantially parallel sheets.
3. The heat exchanger apparatus of Claim 1, wherein each of the plurality of sheets comprises a rectangular shape.
4. The heat exchanger apparatus of Claim 1, wherein: each of the plurality of passageways is defined by a pair of adjacent and substantially parallel sheets; and a first one of the pair of sheets comprises one or more protrusions operable to contact an adjacent second one of the pair of sheets in order to maintain the passageway between the first and second sheets.
5. The heat exchanger apparatus of Claim 4, wherein the one or more protrusions associated with the first sheet comprise one or more stiffening ribs.
6. The heat exchanger apparatus of Claim 4, wherein: the first sheet comprises one or more first corrugations extending in a first direction; the second sheet comprises one or more second corrugations extending in a second direction different from the first direction; and wherein the one or more first corrugations in the first sheet are configured to contact the one or more second corrugations in the second sheet in order to maintain the passageway between the first and second sheets.
7. The heat exchanger apparatus of Claim 1, wherein: the plurality of sheets are arranged substantially parallel to each other; each of the plurality of passageways is defined by a pair of adjacent and substantially parallel sheets; and the plurality of passageways comprise one or more first passageways extending generally in a first direction and one or more second passageways extending generally in a second direction perpendicular to the first direction.
8. The heat exchanger apparatus of Claim 7, wherein the plurality of passageways comprise the one or more first passageways alternating with the one or more second passageways.
9. The heat exchanger apparatus of Claim 7, wherein; the one or more first passageways are configured to communicate a first fluid; the one or more second passageways are configured to communicate a second fluid; and wherein the one or more first passageways are disposed in relation to the one or more second passageways such that communication of the first fluid and second fluids through the first and second passageways, respectively, causes heat transfer between the first and second fluids.
10. The heat exchanger apparatus of Claim 9, wherein; the first fluid comprises vapor; and the second fluid is selected from the group consisting of saltwater, seawater, fermentation broth, and brine.
11. The heat exchanger apparatus of Claim 10, wherein the vapor comprises steam.
12. The heat exchanger apparatus of Claim 9, wherein the one or more first passageways are separated from the one or more second passageways such that the first fluid is kept separate from the second fluid.
13. The heat exchanger apparatus of Claim 9, further comprising one or more gaskets disposed in contact with each of the plurality of sheets, the one or more gaskets operable to substantially prevent the first fluid from contacting the second fluid.
14. The heat exchanger apparatus of Claim 1, wherein: each of the plurality of sheets comprises a rectangular shape having four edges; the plurality of sheets are arranged substantially parallel to each other such that a first one of the plurality of sheets is located between a second one of the plurality of sheets and a third one of the plurality of sheets; the first sheet is coupled to the second sheet at both a first and second edge of the first sheet, the first and second edges of the first sheet being opposite each other and generally parallel; and the first sheet is coupled to the third sheet at both a third and fourth edge of the first sheet, the third and fourth edges of the first sheet being opposite each other and generally parallel.
15. The heat exchanger apparatus of Claim 14, wherein:. the first sheet comprises a first flange at the first edge of the first sheet, a second flange at the second edge of the first sheet, a third flange at the third edge of the first sheet, and a fourth flange at the fourth edge of the first sheet; the second sheet comprises a first flange at a first edge of the second sheet and a second flange at a second edge of the second sheet, the first and second flanges of the second sheet being coupled to the first and second flanges, respectively, of the first sheet; and the third sheet comprises a first flange at a first edge of the third sheet and a second flange at a second edge of the third sheet, the first and second flanges of the third sheet being coupled to the third and fourth flanges, respectively, of the first sheet.
16. The heat exchanger apparatus of Claim 14, wherein the first sheet is coupled to the second sheet at both the first and second edges of the first sheet by at least one weld, brazed joint, crimp clamp, crimped joint or fastener.
17. The heat exchanger apparatus of Claim 1, further comprising one or more wheels coupled to the sheet assembly and operable to position the sheet assembly within the shell.
18. The heat exchanger apparatus of Claim 1, further comprising: a plurality of mounting devices coupled to the shell and operable to mount the sheet assembly, each of the plurality of mounting devices associated with a respective comer of the sheet assembly; and one or more gaskets, each gasket disposed between one of the mounting devices and the respective corner of the sheet assembly and operable to substantially seal the plurality of passageways at the respective corner of the sheet assembly.
19. The heat exchanger apparatus of Claim 1, wherein the shell comprises: a first inlet operable to communicate vapor into the shell ; and a first outlet operable to communicate vapor condensate formed from the vapor out of the shell.
20. The heat exchanger apparatus of Claim 19, wherein the shell further comprises: a second inlet operable to communicate a solution into the shell; and a second outlet operable to communicate at least a portion of the solution out of the shell.
21. The heat exchanger apparatus of Claim 20, further comprising a pump operable to pump at least a portion of the solution communicated out of the shell through the second outlet back into the shell through the second inlet.
22. The heat exchanger apparatus of Claim 20, wherein the shell further comprises a third outlet operable to allow vapor generated from the solution boiling within the shell to escape the shell.
23. The heat exchanger apparatus of Claim 1, wherein at least one of the plurality of sheets is formed from sheet metal.
24. The heat exchanger apparatus of Claim 1, wherein at least one of the plurality of sheets is formed from one or more polymer materials.
25. The heat exchanger apparatus of Claim 1, wherein at least one of the plurality of sheets is formed from a polymer selected from the group consisting of highdensity polyethylene (HDPE), lowdensity polyethylene (LDPE), and polypropylene.
26. The heat exchanger apparatus of Claim 1, wherein at least one of the plurality of sheets is formed from a polymer selected from the group consisting of highimpact polystyrene (HIPS), ultrahigh MW polyethylene, polyvinyl chloride (PVC), and acrylic.
27. The heat exchanger apparatus of Claim 1, wherein at least one of the plurality of sheets is formed from highdensity polyethylene (HDPE) that has been drawn through a die to align the HDPE molecules in a direction perpendicular to a surface of the sheet in order to increase the thermal conductivity of the sheet.
28. A method of providing heat exchange, comprising: communicating a first fluid through a heat exchanger comprising a shell and a sheet assembly disposed within the shell, the sheet assembly comprising a plurality of sheets arranged such that the plurality of sheets define one or more first passageways and one or more second passageways, wherein communicating the first fluid through the heat exchanger comprises communicating the first fluid through the one or more first passageways defined by the sheet assembly; communicating a second fluid through the heat exchanger, wherein communicating the second fluid through the heat exchanger comprises communicating the second fluid through the one or more second passageways defined by the sheet assembly; and wherein communicating the first fluid through the one or more first passageways defined by the sheet assembly and communicating the second fluid through the one or more second passageways defined by the sheet assembly causes heat transfer between the first and second fluids.
29. The method of Claim 28, wherein the first fluid comprises vapor and the second fluid comprises a liquid.
30. The method of Claim 28, wherein: the first fluid comprises vapor; and communicating the vapor through the one or more first passageways defined by the sheet assembly comprises at least a portion of the vapor condensing within the one or more first passageways.
31. The method of Claim 30, wherein: the second fluid comprises a liquid; and communicating the liquid through the one or more second passageways defined by the sheet assembly comprises at least a portion of the liquid boiling and creating vapor.
32. The method of Claim 31, wherein the second fluid is selected from the group consisting of saltwater, seawater, fermentation broth, and brine.
33. The method of Claim 28, wherein: communicating the first fluid through the heat exchanger comprises communicating the first fluid into the shell through one or more first inlets formed in the shell, through the one or more first passageways defined by the sheet assembly, and out of the shell through one or more first outlets formed in the shell; and communicating the second fluid through the heat exchanger comprises communicating the second fluid into the shell through one or more second inlets formed in the shell, through the one or more second passageways defined by the sheet assembly, and out of the shell through one or more second outlets formed in the shell.
34. The method of Claim 33, wherein: the first fluid comprises vapor; communicating the vapor through the heat exchanger comprises at least a portion of the vapor condensing within the one or more first passageways defined by the sheet assembly; the second fluid comprises a liquid; and communicating the liquid through the heat exchanger comprises at least a portion of the liquid boiling within the one or more second passageways defined by the sheet assembly.
35. The method of Claim 33, wherein: the second fluid comprises a liquid; and communicating the second fluid through the heat exchanger comprises communicating the liquid into the shell through one or more first inlets formed in the shell, communicating the liquid through the one or more second passageways defined by the sheet assembly such that at least a portion of the liquid boils and forms vapor, allowing the vapor to escape the shell through one or more first outlets formed in the shell, and communicating at least a portion of the unboiled liquid out of the shell through one or more second outlets formed in the shell;.
36. The method of Claim 28, wherein the heat exchanger is configured such that the first fluid communicated through the heat exchanger is prevented from mixing with the second fluid communicated through the heat exchanger.
37. An apparatus for use in a heat exchanger, the apparatus being disposed within a shell and comprising: a plurality of sheets arranged such that the plurality of sheets define a plurality of passageways operable to communicate at least two fluids within the shell such that heat is transferred between the at least two fluids.
38. The apparatus of Claim 37, wherein each of the plurality of sheets r comprises a rectangular shape.
39. The apparatus of Claim 37, wherein: each of the plurality of passageways is defined by a pair of adjacent and substantially parallel sheets; and a first one of plurality of sheets comprises one or more protrusions operable to contact an adjacent second one of plurality of sheets in order to maintain the passageway between the first and second sheets.
40. The apparatus of Claim 37, wherein: the plurality of sheets are arranged substantially parallel to each other; each of the plurality of passageways is defined by a pair of adjacent and substantially parallel sheets; and the plurality of passageways comprise one or more first passageways extending generally in a first direction and one or more second passageways extending generally in a second direction perpendicular to the first direction.
41. The apparatus of Claim 40, wherein the plurality of passageways comprise the one or more first passageways alternating with the one or more second passageways.
42. The apparatus of Claim 40, wherein; the one or more first passageways are configured to communicate a first fluid; and the one or more second passageways are configured to communicate a second fluid.
43. The apparatus of Claim 1, wherein: each of the plurality of sheets comprises a rectangular shape having four edges; the plurality of sheets are arranged substantially parallel to each other such that a first one of the plurality of sheets is located between a second one of the plurality of sheets and a third one of the plurality of sheets; the first sheet is coupled to the second sheet at both a first and second edge of the first sheet, the first and second edges of the first sheet being opposite each other and generally parallel; and the first sheet is coupled to the third sheet at both a third and fourth edge of the first sheet, the third and fourth edges of the first sheet being opposite each other and generally parallel.
44. The heat exchanger apparatus of Claim 43, wherein: the first sheet comprises a first flange at the first edge of the first sheet, a second flange at the second edge of the first sheet, a third flange at the third edge of the first sheet, and a fourth flange at the fourth edge of the first sheet; the second sheet comprises a first flange at a first edge of the second sheet and a second flange at a second edge of the second sheet, the first and second flanges of the second sheet being coupled to the first and second flanges, respectively, of the first sheet; and the third sheet comprises a first flange at a first edge of the third sheet and a second flange at a second edge of the third sheet, the first and second flanges of the third sheet being coupled to the third and fourth flanges, respectively, of the first sheet.
45. The apparatus of Claim 37, wherein at least one of the plurality of sheets is formed from sheet metal.
46. The apparatus of Claim 37, wherein at least one of the plurality of sheets is formed from one or more polymer materials.
47. The apparatus of Claim 37, wherein at least one of the plurality of sheets is formed from highdensity polyethylene (HDPE) that has been drawn through a die to align the HDPE molecules in a direction perpendicular to a surface of the sheet in order to increase the thermal conductivity of the sheet.
Description:
HEAT EXCHANGER SYSTEM AND METHOD TECHNICAL FIELD OF THE INVENTION This invention relates in general to heat exchangers and, more particularly, to a heat exchanger having a sheet assembly disposed within a shell.

BACKGROUND OF THE INVENTION Heat exchangers generally transfer heat energy from one fluid to another fluid without mixing the two fluids. As used herein, the term"fluid"may refer to liquids, gasses, vapors, or any other fluid substance. Common applications of heat exchangers include automotive radiators, boilers, furnaces, refrigerators and air conditioning systems. Two common types of heat exchangers are (1) shell and tube heat exchangers; and (2) plate and frame heat exchangers.

Shell and tube heat exchangers may be used in applications where high temperature and pressure demands are significant, since a shell may be designed to withstand relatively high pressures. However, shell and tube heat exchangers can be relatively expensive and difficult to manufacture. Plate and frame heat exchangers are often used on low-viscous applications with moderate demands on operating temperatures and pressures, typically below 150°C. Gasket material is chosen to withstand the operating temperature at hand and the properties of the processing fluid.

There are several types of plate heat exchangers including gasketed, brazed, welded and semi-weld or hybrid types.

SUMMARY OF THE INVENTION A heat exchanger includes a shell and a sheet assembly disposed within the shell. The sheet assembly may include a number of substantially parallel rectangular sheets configured such that they define first passageways extending generally in a first direction and second passageways extending generally in a second direction perpendicular to the first direction. The sheet assembly may be configured such that communicating a first fluid through the first passageways and communicating a second fluid through the second passageways causes heat transfer between the first and second fluids. For example, the first fluid may comprise high pressure vapor and

the second fluid may comprise a liquid solution such that the communicating the high pressure vapor and the liquid solution through the first and second passageways, respectively, causes at least a portion of the high pressure vapor to condense and at least a portion of liquid solution to boil off.

According to another embodiment of the invention, a jet ejector includes a nozzle having a first stream flowing therethrough and including an upstream portion, a downstream portion, and a throat disposed between the upstream portion and the downstream portion, a plurality of sets of apertures located in a wall of the nozzle in the throat, wherein the plurality of sets are longitudinally spaced along the wall and each set of apertures having its apertures circumferentially located around the wall, and a device operable to inject a motive fluid through the apertures and into the first stream.

Various embodiments of the present invention may benefit from numerous advantages. It should be noted that one or more embodiments may benefit from some, none, or all of the advantages discussed below.

One advantage of the invention is that a heat exchanger is provided that includes sheet assembly disposed within the shell. Thus, the heat exchanger may simultaneously benefit from the advantages of shell and tube heat exchanges and plate and frame heat exchangers. For example, because the sheet assembly is disposed within the shell, the heat exchanger may utilize relative high pressure fluids (such as high pressure steam, for example). In addition, the heat exchanger is relatively inexpensive as compared with prior heat exchangers, such as shell and tube heat exchangers, for example. In some embodiments, polymers may be used to form the sheet assembly, which may provide various benefits, such as decreased costs, increased heat transfer per cost, increased corrosion-resistance, as well as increased ease of manufacturing the heat exchanger (due to the increased pliability of polymers as compared with metals). Another advantage is that in some embodiments, the heat exchanger has a lower pressure drop than traditional heat exchangers.

Other technical advantages are readily apparent to one skilled in the art from the following figures, descriptions, and claims.

BRIEF DESCRIPTION OF THE DRAWINGS For a more complete understanding of the invention, and for further features and advantages, reference is now made to the following description, taken in conjunction with the accompanying drawings, in which: FIGURE 1 illustrates a low-pressure vapor-compression evaporator system; FIGURE 2 illustrates a medium-pressure vapor-compression evaporator system; FIGURE 3 is a graphical correlation for standard jet ejectors ; FIGURE 4 illustrates Pmotive/Pinlet (the inverse of the y-axis in FIGURE 3) as a function of compression ratio (PoMe/Pt) tor each area ratio, AR; FIGURE 5 illustrates the slopes of FIGURE 4 on a log-log graph; FIGURE 6 illustrates mmotive/minlet (the inverse of the x-axis in FIGURE 3) as a function of compression ratio (Poutlet/Pinlet) for each area ratio, AR; FIGURE 7 illustrates the slopes of FIGURE 6 on a log-log graph; FIGURE 8 illustrates a jet ejector system according to one embodiment of the invention; FIGURES 9 through 20 illustrate the pressures and mass flows (using arbitrary units) according to various embodiments of the invention; FIGURES 21 through 31 illustrate various jet ejector systems according to various embodiments of the invention; FIGURE 32 illustrates a jet ejector according to one embodiment of the invention; FIGURE 33 illustrates a jet ejector according to another embodiment of the invention; FIGURES 34 and 35 illustrate a jet ejector according to another embodiment of the invention; FIGURE 36 illustrates a pattern of nozzle ducts according to one embodiment of the invention; FIGURE 37 illustrates a liquid jet ejector according to one embodiment of the invention; FIGURE 38 illustrates a liquid jet ejector according to another embodiment of the invention;

FIGURE 39 illustrates a liquid jet ejector according to another embodiment of the invention ; FIGURE 40 illustrates a liquid jet ejector according to another embodiment of the invention; FIGURE 41 illustrates a liquid jet ejector according to another embodiment of the invention; FIGURES 42 through 51 illustrate various embodiments of an evaporator system that incorporates a liquid jet ejector according to various embodiments of the invention; FIGURES 52 through 55 illustrate various embodiments of a vapor- compression evaporator system according to various embodiments of the invention; FIGURE 56 illustrates a cross-section of an example heat exchanger assembly including a shell and a sheet assembly disposed within the shell in accordance with an embodiment of the invention; FIGURE 57A illustrates a three-dimensional view of the sheet assembly of the heat exchanger assembly of FIGURE 56 in accordance with one embodiment of the invention; FIGURE 57B is a blown-up view of a corner area of the sheet assembly of FIGURE 57A in accordance with an embodiment of the invention; FIGURE 57C illustrates a side view of the corner of sheet assembly illustrated in FIGURE 57B; FIGURES 58A-58B illustrate an example method of forming a particular sheet of the sheet assembly shown in FIGURE 57A in accordance with one embodiment of the invention; FIGURE 59 illustrates various example manners for coupling the flange portions of adjacent sheets of the sheet assembly shown in FIGURE 57A in accordance with one embodiment of the invention; FIGURE 60A illustrates a method of aligning the molecules in a polymer for making polymer sheets in accordance with one embodiment of the invention; FIGURE 60B illustrates a method of forming a sheet for a sheet assembly by joining a number of polymer sheets in accordance with one embodiment of the invention; and

FIGURES 61A-61D illustrates another example sheet assembly in accordance with another embodiment of the invention.

DETAILED DESCRIPTION OF THE INVENTION FIGURE 1 illustrates a low-pressure vapor-compression evaporator system 2 performing desalination of salt water. A salt-containing feed 3 flows into an evaporator tank 4, which in this embodiment is operated under vacuum. Although, in the illustrated embodiment, feed 3 is a salt-containing feed, a sugar-containing feed or suitable feed is also contemplated by the present invention. The salt-containing feed 3 boils, producing low-pressure vapors. These vapors are removed from evaporator tank 4 using a jet ejector 5. The pressurized vapors exiting jet ejector 5 flow into a heat exchanger 6, where they condense. Because of the interaction of heat exchanger 6 and evaporator tank 4, the heat of condensation provides the heat of evaporation needed by the salt-containing feed 3. Distilled liquid water 7 is recovered from heat exchanger 6 in any suitable manner, and concentrated salt solution 8 is removed from evaporator tank 4 using any suitable devices. The motive steam 9 added to jet ejector 5 may be condensed against cooling water; however, this condensation step may be eliminated if the product water is removed at a higher temperature than the feed water. A small vapor stream may be removed from evaporator tank 4 and sent to a condenser 10 to remove water vapor. The remaining gas is primarily noncondensibles, which may be removed using a vacuum pump (not explicitly illustrated).

FIGURE 2 illustrates a medium-pressure vapor-compression evaporator system 20 according to an embodiment of the invention. System 20 operates similarly to system 2 in FIGURE 1, except that an evaporator tank 22 operates at a moderate pressure, for example one atm. A motive steam 23 is added to a jet ejector 24 and exits evaporator tank 22 at moderate pressure and is useful for evaporating water. In the embodiment illustrated in FIGURE 2, this medium-pressure steam may be used in a multi-effect evaporator 26, although a multi-stage flash evaporator may be used as well.

In the illustrated embodiment, multi-effect evaporator 26 includes any suitable number of tanks 27a, 27b, 27c in series each containing a feed 28 having a nonvolatile

component, such as salt or sugar. Jet ejector 24 coupled to evaporator tank 22 and receives a vapor from evaporator tank 22. A heat exchanger 29 in evaporator tank 22 receives the vapor from jet ejector 24 where at least some of the vapor condenses therein. The heat of condensation provides the heat of evaporation to evaporator tank 22. At least some of the vapor inside evaporator tank 22 is delivered to a heat exchanger 30a in tank 27a, whereby the condensing, evaporating, and delivering steps continue through each tank until the last tank in the series (in this embodiment, tank 27c) is reached.

System 20 may also include a condenser 32 coupled to tank 27c for removing energy from system 20, and a vacuum pump (not illustrated) for removing noncondensibles from system 20. Any suitable devices may be utilized for removing concentrated feed 33 from tanks 22 and 27a-27c, and a plurality of sensible heat exchangers 34 may be coupled to tanks 22 and 27a-27c for heating the feed 28 before entering the tanks 22,27a-27c. Sensible heat exchangers 34 may also be utilized for other suitable functions.

The pressure difference between the condensing steam and the boiling feed 28 depends upon the temperature difference between heat exchanger 29 and evaporator tank 22. In addition, salts (or other soluble materials) depress the vapor pressure, which increases the pressure difference even further. Table 1 illustrates the required compression ratio for pure water (i. e. , no salt) as a function of the temperature difference. Table 1. Required compression ratio for water as a function of temperature difference across the heat exchanger Temperature Compression Ratio Compression Ratio Difference (°C) Tevaporator = 100°C Tevaporator = 25°C 1 1.0362 1.0612 2 1. 0735 1. 1256 3 1. 1119 1. 1934 4 1. 1514 1. 2647 5 1. 1921 1. 3397 6 1. 2340 1.4185

7 1.2770 1.5013 8 1. 3210 1. 5883 The required temperature difference depends upon the cost of heat exchangers and the cost of capital. In one embodiment, a temperature difference of 5°C is considered economical. For a medium-pressure vapor-compression evaporator, such as system 20, the required compression ratio is approximately 1.2.

FIGURE 3 illustrates a correlation for conventional jet ejectors. Table 2 illustrates the properties of a conventional jet ejector, based upon FIGURE 3. Table 2 illustrates that using an area ratio of 100, 15. 38-atm (226-psi) steam is able to evaporate 6.3 kg of water per kg of steam. Using system 20 (FIGURE 2) as an example, the steam exits the evaporator tank 22 at 1 atm and can evaporate more water in multi-effect evaporators 26 or a multi-stage flash evaporator. In industry, multi-stage flash evaporators typically evaporate 8 kg of water per kg of steam, so the entire medium-pressure vapor-compression system 20 can evaporate about 14 kg of distilled water per kg of steam. If the efficiency of jet ejector 24 can be improved, then the yield of distilled water may improve further.

Table 2. Required pressure and motive steam consumption for AT= 5°C and TeVaporator = 100°C. Compression Ratio Area Ratio Pinlet Pmotive (atm) minlet motive motive mmotive 1. 2 100 0. 065 15.38 6.3 1. 2 50 0. 115 8.70 5. 7 1. 2 25 0. 200 5. 00 4. 5 For optimization purposes, it is desirable to find equations that present the same information. FIGURE 4 illustrates Pmotive/Pinlet (the inverse of the y-axis in FIGURE 3) as a function of compression ratio (Poutlet/Pinlet) for each area ratio, AR.

As illustrated, each line is straight in FIGURE 4. FIGURE 5 illustrates the slopes versus area ratio on a log-log graph. From FIGURES 4 and 5, the following equation relates the parameters:

p p -"'=1+0. 9848 (AR) °9°720 putZet ^ D" D P inlet inlet FIGURE 6 illustrates (the inverse of the x-axis in FIGURE 3) as a function of compression ratio (Poutler/Pinlet) for each area ratio, AR. Again, the lines are straight. FIGURE 7 illustrates the slopes versus area ratio on a log-log graph.

From FIGURES 6 and 7, the following equation relates the parameters: "" =5. 1179 (AR)-° 4'120 putlet _19 (2) l minlet nlet One reason jet ejectors may be inefficient is because they blend two gas streams with widely different velocities, which may occur when the motive pressure is significantly different from the inlet pressure. Thus, according to the teachings of one embodiment of the invention, the efficiency of jet ejectors may be improved substantially by developing jet ejectors and/or jet ejector systems that accomplish the required compression task by minimizing P"otlve/Pintet.

FIGURES 8 through 31 illustrate various embodiments of an improved design of a ultrahigh-efficiency jet ejector system that allows motive gas and propelled gas to be blended in a manner that minimizes the velocity differences between the two streams, thus optimizing efficiency. Some embodiments may also allow for the energy to be added in the form of work, rather than heat, which increases efficiency even further.

FIGURE 8 illustrates a jet ejector system 50, according to one embodiment of the invention, that minimizes PnZotgve/pslet In the illustrated embodiment, system 50 includes a primary jet ejector 52 and one or more secondary jet ejectors 56a, 56b, 56c coupled to primary jet ejector 52 such that all of the jet ejectors are in a cascaded arrangement. As illustrated by various embodiments below in conjunction with FIGURES 9-31, this cascaded arrangement may be any suitable network of secondary jet ejectors 56 that receive a portion of a primary inlet stream 54 from primary jet ejector 52 and a motive steam 58 and process these streams before feeding a portion of the mixture of these streams back to primary jet ejector 52 for creation of primary

outlet stream 55. Primary jet ejector 52 is analogous to jet ejector 5 of FIGURE 1 or jet ejector 24 of FIGURE 2.

In FIGURE 8, a portion of primary inlet stream 54 is bled off and directed to secondary jet ejector 56a and, as described above, motive steam 58 is directed into secondary jet ejector 56c. At each secondary jet ejector 56, at least some of the portion of primary inlet stream 54 and at least some of motive steam 58 is received to create respective mixtures within secondary jet ejectors 56. And at each secondary jet ejector 56 at least a portion of the respective mixture is directed to adjacent jet ejectors (56 or 52) in the cascaded arrangement.

For various embodiments of the invention utilizing the concept of FIGURE 8, Tables 3 through 6 show the required PmoeM/et (Equation 1) and the resulting mmotive/minlet (Equation 2) for each secondary jet ejector (also referred to as a stage) in the cascade. FIGURES 9 through 20 illustrate the pressures and mass flows for each embodiment shown. Because any suitable operating parameters are contemplated by the present invention, the pressure units and mass units are arbitrarily shown in FIGURES 9 through 20; however, it may be convenient to use atmospheres for pressure and kilograms for mass.

Table 3. Analysis of jet ejector for compression ratio of 1.03. Area Ratio Stage Poutlet/Pinlet Pmotive/Pinlet mmotive/minlet 5 1 1. 03 1.127 0.079 2 1.13 1.539 0.335 3 1.37 2.552 0.966 4 1. 86 4.647 2. 271 5 2.49 7.319 3.934 4 1 1.03 1.104 0. 087 2 1. 10 1.360 0.301 3 1.23 1. 804 0.671 4 1.46 2.607 1.343 5 1. 78 3.704 2.260 6 2.08 4.741 3.126 7 2.28 5.427 3.699 3 1 1.03 1.080 0. 098 2 1. 08 1. 213 0.261 3 1.12 1.331 0.404 4 1. 33 1. 883 1.078 5 1. 41 2. 105 1.349 6 1.49 2.300 1. 588 7 1.55 2. 457 1. 779 8 1.59 2.571 1.919 9 1. 62 2.649 2.013 Table 4. Analysis of jet ejector for compression ratio of 1. 05. Area Ratio Stage Poutlet/Pinlet Pmotive/Pinlet mmotive/minlet 5 1 1.05 1.212 0.132 2 1.21 1.899 0.560 3 1. 57 3.405 1.497 4 2.17 5. 975 3.097 5 2.75 8.421 4.621 4 1 1.05 1.173 0.145 2 1.17 1.599 0.501 3 1.36 2.257 1.051 4 1.66 3.269 1.896 5 1.97 4.374 2.819 6 2.21 5.205 3.514 3 1 1. 05 1. 133 0.163 2 1.13 1.355 0.433 3 1.20 1.523 0.638 4 1.27 1.731 0. 893 5 1.36 1.958 1.169 6 1.44 2.173 1.433 7 1.51 2. 358 1.658 8 1.56 2.499 1.831 9 1. 6 2.601 1. 955 Table 5. Analysis of jet ejector for compression ratio fo 1.1. Area Ratio Stage Poutlet/Pinlet Pmotive/Pinlet mmotive/minlet 5 1 1.10 1.424 0.264 2 1.42 2.798 1.120 3 1.97 5.092 2.548 4 2.59 7.751 4.204 4 1 1.10 1.346 0.289 2 1.35 2.198 1.001 3 1.63 3.193 1. 832 4 1.96 4. 308 2.764 5 2.20 5.170 3.485 3 1 1.10 1.267 0.326 2 1.27 1.712 0.869 3 1.35 1.936 1.143 4 1.43 2.156 1. 412 5 1.50 2.345 1.642 6 1.56 2.491 1.821 7 1.60 2.595 1.948 8 1.63 2.668 2.036 Table 6. Analysis of jet ejector for compression ratio of 1.2 Area Ratio Stage Poutlet/Pinlet Pmotive/Pinlet mmotive/minlet 5 1 1.20 1.848 0.528 2 1.85 4.596 2.239 3 2.49 7.306 3.926 4 2.94 9.215 5.115 4 1 1.20 1.693 0.579 2 1.69 3.400 2.006 3 2.01 4.491 2.917 4 2.24 5.281 3.577 i 5 2. 36 5.718 3.942 3 1 1.20 1.534 0.652 2 1. 53 2. 422 1. 736 3 1. 58 2.545 1. 886 4 1.61 2.630 1.990 5 1.63 2.686 2.059 6 1.65 2.724 2.104 7 1.66 2.748 2.134

Table 7 illustrates the mass yield for various embodiments. The results indicate that the method works best when the per-stage compression ratio is small, which requires more stages. Further, the method works best when the area ratio is small, which also requires more stages. More stages allow the inlet pressures and motive pressures to be closely matched, thereby allowing streams with similar velocities to be blended. In some embodiments, extraordinarily high mass yields (kg water/kg steam) are possible.

Table 7. Case studies for vapor-compression distillation. (Tevaporator = 100°C) Overall Per-Stage Number Area Per-Stage Mass Overall Mass AT (°C) Compression Compression of Ratio Yield (kg Yield (kg Ratio Ratio Stages water/kg steam) water/kg steam) 5 1.2 1. 03 6 5 119 19.8 4 190 31.6 3 425 70.8 1.05 4 5 37.1 9.3 4 49.3 12.3 3 138 34.5 1.10 2 5 11.1 5. 55 4 11.5 5.75 3 18.2 9.10 1.20 1 5 3.58 3.58 4 3.72 3.72 3 4.48 4.48 An advantage of utilizing a cascaded arrangement of jet ejectors, such as jet ejector system 50, is that it blends gas streams of similar pressures; therefore, the velocity of each gas stream is similar. This leads to high efficiencies, even using

traditional jet ejectors. Efficiency may be improved further by improving the design of the jet ejector, as is described in further detail below.

FIGURE 21 illustrates a jet ejector system 60 according to another embodiment of the invention. In system 60, a portion of a primary outlet stream 61 from primary jet ejector 62 is bled off and directed to one or more secondary jet ejectors 63. This is in contrast to system 50 of FIGURE 8 in which a portion of primary inlet stream 54 was bled off. The rest of system 60 work in a similar manner to system 50.

FIGURE 22 illustrates a jet ejector system 70 according to another embodiment of the invention. In system 70, a high-pressure steam, as indicated by reference numeral 71, that powers the cascade of jet ejectors is produced by drawing a side stream 72 from one of the jet ejectors and compressing it with a suitable mechanical compressor 73. In this case, the compressor is powered by a suitable steam turbine 74 via shaft 75 The waste steam 76 from turbine 74 may provide motive power to one or more of the jet ejectors, such as primary jet ejector 77.

FIGURE 23 illustrates a jet ejector system 80 according to another embodiment of the invention. System 80 is similar to system 70 except that in system 80 a compressor 81 is powered by a Brayton cycle engine 82 or other suitable engine.

A suitable electric motor may also be utilized to power compressor 81.

FIGURE 24 illustrates a jet ejector system 90 according to another embodiment of the invention. In system 90, multiple compression stages are employed by a plurality of primary jet ejectors 91a, 91b, 91c in series. Each primary jet ejector 91 is supported by its own independent cascade of secondary jet ejectors, which may operate according to one of the embodiments described above in FIGURES 8,21, 22 and/or 23.

FIGURE 25 illustrates a jet ejector system 100 according to another embodiment of the invention. In system 100, multiple compression stages are employed by a plurality of primary jet ejectors 101a, 101b, 101c in series. However, system 100 differs from system 90 of FIGURE 24 in that some of the high-pressure secondary jet ejectors 102 from one cascade are shared with other primary jet ejectors 101 in the series. This reduces the number of secondary jet ejectors, thereby saving capital costs.

FIGURE 26 illustrates a jet ejector system 110 according to another embodiment of the invention. In system 110, multiple compression stages are employed by a plurality of primary jet ejectors llla, lllb, lllc in series. In this embodiment, only the first primary jet ejector llla in the series includes a cascade 112 of jet ejectors ; however, each ofthe otherprimary jet ejectors lllb, lllc receive a stream from one of the secondary jet ejectors from cascade 112 (in this example, secondary jet ejector 112a). This again helps reduce the number of jet ejectors, thereby saving capital costs.

FIGURE 27 illustrates a jet ejector system 120 according to another embodiment of the invention. In system 120, multiple compression stages are employed by a plurality of primary jet ejectors 121a, 121b, 121c in series. In this embodiment, only the last primary jet ejector 121c in the series includes a cascade 122 of jet ejectors ; however, each of the other primary jet ejectors 121a, 121b receive a stream from one of the secondary jet ejectors from cascade 122 (in this example, secondary jet ejector 122a). In addition, secondary jet ejector 122a is receiving a portion of outlet stream 124 from primary jet ejector 121c.

FIGURE 28 illustrates a jet ejector system 130 according to another embodiment of the invention. In system 130, multiple compression stages are employed by a plurality of primary jet ejectors 131a, 131b, 131c in series. And an equal number of stages of secondary jet ejectors are included in each cascade. The secondary jet ejectors that comprise a particular stage are in series. In this embodiment, the stream for the cascades is drawn from a primary inlet stream 132 of the first primary j et ej ector 131 a. t FIGURE 29 illustrates a jet ejector system 140 according to another embodiment of the invention. System 140 is similar to system 130, except the stream for the cascades is drawn from a primary outlet stream 142 of a primary jet ejector 141c in the series.

FIGURES 30 and 31 illustrate jet ejector systems 150,160, respectively, according to other embodiments of the invention. Systems 150,160 are similar to systems 130,140, respectively; however, the flow arrangement in systems 150,160 obtains a closer match of motive pressures to inlet pressures. Other suitable arrangements of both primary and secondary jet ejectors as well as arrangement of

cascades are contemplated by the present invention.

Thus, an advantage of the jet ejector systems described above is that they blend gas streams of similar pressures; therefore, the velocity of each gas stream is similar. This leads to high efficiencies, even using traditional jet ejectors. The efficiency may be improved further by improving the design of the jet ejector, some embodiments of which are described below in conjunction with FIGURES 32 through 41.

FIGURES 32 through 36 illustrate various embodiments of an improved design of a jet ejector that allows large volumes of motive fluid to be added to propelled gas without obstructing the flow of the propelled gas.

FIGURE 32 illustrates a jet ejector 200 according to one embodiment of the invention. Jet ejector 200 may have any suitable size and shape and may be formed from any suitable material. In the illustrated embodiment, jet ejector 200 includes a nozzle 202 having an upstream portion 203, a downstream portion 204, and a throat 205 disposed between upstream portion 203 and downstream portion 204. A plurality of sets of apertures 206 are located in a wall of nozzle 202 in throat 205, in which the plurality of sets are longitudinally spaced along the wall. Each set of apertures 206 has its apertures circumferentially located around the wall in any suitable pattern and spacing. Apertures 206 may be any suitably shaped apertures. For example, in the illustrated embodiment, apertures are in the form of circumferential slots. Jet ejector 200 also includes a device (not explicitly shown) that is operable to inject a motive fluid 207 through apertures 206 and into a first stream 208 flowing through nozzle 202. Motive fluid 207 may be any suitable motive fluid, such as gas, vapor, liquid, and may be supplied through an annular space 211 in the wall of nozzle 202. In such an embodiment, the pressure of motive gas 207 entering each set of apertures 206 is constant. In addition, motive fluid 207 enters first stream 208 at an angle with respect to the flow direction of first stream 208.

In operation, first stream 208, which may be any suitable propelled gas, such as low pressure vapor, enters upstream portion 203 of nozzle 202. Throat 205 then initially accelerates first stream 208 when it enters throat 205. The motive fluid 207 accelerates first stream 208 even further after entering throat 205 via apertures 206.

To minimize the velocity difference between motive fluid 207 and first stream 208, it

is advantageous to have the upstream most set of apertures 206a accelerate first stream 208 first, then the next set of apertures 206b accelerate first stream 208 second, and then the next set of apertures 206c accelerate first stream 208 last. The size of arrows 212 is meant to illustrate the accelerating of first stream 208 through nozzle 202.

FIGURE 33 illustrates a jet ejector 220 according to another embodiment of the invention. Jet ejector 220 is similar to jet ejector 200; however, in this embodiment, jet ejector 220 includes sets of apertures 226 in which each successive set of apertures 226 (as their location is farther downstream) is fed with a motive fluid 227 at increasingly higher pressures, which allows motive gas 227 exiting the later set of apertures 206 to have increasingly larger velocities. Thus, set of apertures 226c has a greater pressure than set of apertures 226b, which has a greater pressure than set of apertures 226c. Because a first stream 228 also has increasingly larger velocities, jet ejector 220 minimizes the velocity difference between the two streams, thereby improving efficiency.

FIGURES 34 through 36 illustrates a jet ejector 230 according to another embodiment of the invention. In this embodiment, a motive gas 237 enters a throat 235 of nozzle 232 through multiple point sources 236, rather than through circumferential slots as in jet ejectors 200,220. Multiple point sources 236 may have any suitable configuration but are preferably small holes or slots. FIGURE 35A is a cross-sectional view through the wall of throat 235 illustrating one of the point sources 236. FIGURE 35B illustrates a frontal view of the interior wall of throat 235.

As illustrated, point source 236 is coupled to a fan-shaped duct 239 that is defined by walls diverging in a downstream direction in order to introduce motive fluid 237 into throat 235 to entrain first stream 238 (i. e. , propelled gas) flowing through nozzle 232.

In one embodiment, fan-shaped duct 239 is a NACA duct. FIGURE 36 is a two- dimensional view of the interior wall of nozzle 232 showing a staggered arrangement of multiple fan-shaped ducts 239. However, the present invention contemplates any suitable arrangement of fan-shaped ducts 239.

Thus, an advantage of the jet ejectors described in FIGURES 32 through 36 is that they blend gas streams of similar velocities, but do not obstruct the flow of the propelled gas. These jet ejectors may be used in any suitable application, such as

compressors, heat pumps, water-based air conditioning, vacuum pumps, and propulsive jets (both for watercraft and aircraft).

FIGURES 37 through 41 illustrate various embodiments of an improved design of a liquid jet ejector that allows motive liquid to be added to the propelled gas without obstructing the flow of the propelled gas. hi some embodiments, the motive liquid may be added in stages, which increases efficiency.

FIGURE 37 illustrates a liquid jet ejector 250 according to one embodiment of the invention. Liquid jet ejector 250 is similar to jet ejector 200 (FIGURE 32); however, the motive fluid in liquid jet ejector 250 is liquid. In operation, a first stream 258, which may be any suitable propelled gas, such as low pressure vapor, enters an upstream portion 253 of nozzle 252. A throat 255 then initially accelerates first stream 258 when it enters throat 255. The motive fluid 257 accelerates first stream 258 even further after entering throat 255 via nozzles 256. To minimize the velocity difference between motive fluid 257 and first stream 258, it is advantageous to have the upstream most set of nozzles 256a accelerate first stream 258 first, then the next set of apertures 256b accelerate first stream 258 second, and then the next set of apertures 256c accelerate first stream 258 last. The size of arrows 251 is meant to illustrate the accelerating of first stream 258 through nozzle 252. The motive liquid 257 may be supplied via an annular space 259 formed in the wall of nozzle 252.

Alternatively, each nozzle 256 could be supplied by its own pipe. hi this embodiment, the pressure of the motive fluid 257 entering each nozzle 256 is constant. Similar to apertures 206 of jet ejector 200, nozzles 256 may be circumferentially located around the wall in any suitable pattern and spacing.

FIGURE 38 illustrates a liquid jet ejector 260 according to one embodiment of the invention. Liquid jet ejector 260 is similar to jet ejector 220 (FIGURE 33); however, the motive fluid in liquid jet ejector 260 is liquid and liquid jet ejector 260 includes nozzles 266 similar to nozzles 256 of liquid jet ejector 250 of FIGURE 37.

FIGURE 39 illustrates a liquid jet ejector 270 according to one embodiment of the invention. Liquid jet ejector 270 is similar to liquid jet ejector 250, except that the motive liquid 277 enters a throat 275 of nozzle 272 through small tubes 276 that are tipped with nozzles. This embodiment facilitates the velocity of motive liquid 277 exiting the nozzles to be parallel to the velocity of a first stream 278 (i. e. , the

propelled fluid). Any suitable number and arrangement of tubes 276 is contemplated by the present invention.

FIGURE 40 illustrates a liquid jet ejector 280 according to one embodiment of the invention. Liquid jet ejector 280 is similar to liquid jet ejector 270 except that the motive liquid 287 enters a throat 285 via tubes 286 at increasingly higher pressures as their location is farther downstream, which allows motive fluid 287 exiting the later set of tubes 286c to have increasingly larger velocities. Thus, motive fluid 287 exiting tubes 286c has a greater pressure than motive fluid 287 exiting tubes 286b, which has a greater pressure than motive fluid 287 exiting tubes 286a.

FIGURE 41 illustrates a liquid jet ejector 290 according to one embodiment of the invention. Liquid jet ejector 290 includes a plurality of receptacles 291 coupled to the wall of nozzle 292 in order to collect the motive liquid 297, thereby allowing the liquid to be readily collected and recycled. Receptacles 291 may be any suitable size and shape and are preferably located directly downstream from the nozzles of tubes 296. The kinetic energy of the exiting liquid converts to pressure at the inlet to the pump, which reduces the required work input to the pump, thereby increasing efficiency. Although FIGURE 41 illustrates only one liquid stage along the axial length of nozzle 292, multiple liquid stages may be employed.

Thus, advantages of the liquid jet ejectors of FIGURES 37 through 41 are as follows: (1) the motive liquid may be added in stages, which increases system efficiency, and (2) the path of the propelled gas may be largely unobstructed by the nozzles that supply the motive liquid. These liquid jet ejectors may be used in any suitable applications, including compressors, heat pumps, water-based air conditioning, vacuum pumps, and vapor compression evaporators. Rather than propelling a gas, they could also be used to propel a liquid. If the outlet area of the jet ejector is less than its inlet area, then it may be used as a propulsive jet for watercraft.

FIGURES 42 through 51 illustrate various embodiments of an evaporator system that incorporates a liquid jet ejector according to various embodiments of the invention.

FIGURE 42 illustrates an evaporator system 300 according to one embodiment of the invention. In the illustrated embodiment, system 300 includes a

vessel 302 containing a feed 304 having a nonvolatile component (e. g. , salt, sugar).

The feed 304 may first be degassed by pulling a vacuum on it (equipment not explicitly shown). A liquid jet ejector 306 is coupled to vessel 302 and is operable to receive a vapor from vessel 302. An example of liquid jet ejector 306 is one marketed by Hijet from Houston, TX. A pump 308, which may be driven by a suitable electric motor 310, is operable to deliver a motive liquid 309 to liquid jet ejector 306. A knock-out tank 312 is coupled to liquid jet ejector 306 and is operable to separate liquid and vapor received from liquid jet ejector 306 with the aid of a float 313 and a valve 317.

A heat exchanger 314 is coupled inside vessel 302 and is operable to receive the vapor from knock-out tank 312, at least some of the vapor condensing within heat exchanger 314, thereby forming a distilled liquid such as distilled water if the feed is, for example, salt water. The heat of condensation provides the heat of evaporation to vessel 302 to evaporate feed 304. Concentrated product 315 is removed from vessel 302 via any suitable method. Energy that is added to system 300 may be removed using a condenser 318. Alternatively, if condenser 318 were eliminated, the energy added to system 300 will increase the temperature of concentrated product 315. This is acceptable if the product is not temperature sensitive. To remove noncondensibles from system 300, a small stream is pulled from vessel 302 and passed through a condenser 320, and then sent to a vacuum pump (not explicitly illustrated).

In system 300, motive liquid 309 may be a nonvolatile, immiscible, nontoxic, low-viscosity liquid (e. g. , silicone oil) or it may be water. If it is water, the water will be in near equilibrium with the vapors discharged from jet ejector 306. When this water is pumped, it may easily cavitate in pump 308. In one embodiment, to overcome this problem, knock-out tank 312 is elevated relative to pump 308 so there is no cavitation. Ideally, if the system were perfect, the liquid water could be recycled indefinitely. However, in reality, energy is input into the circulating water (e. g., pump losses, pipe friction). This energy input causes the circulating water to evaporate, so make-up water should be added. In one embodiment, the make-up water is feed water, which has the following benefits: (1) the nonvolatile components increase the fluid density, which improves the efficiency of the jet ejector and (2) the waste thermal energy generated within the circulating fluid causes water to evaporate,

which forms more product.

FIGURE 43 illustrates an evaporator system 330 according to another embodiment of the invention. System 330 is similar to system 300, except that a vessel 332 is operated at a higher temperature and pressure than vessel 302. In system 330, energy that is added to vessel 332 can cascade through a multi-effect evaporator 334, which allows additional evaporation to occur. Only three stages are shown in FIGURE 43, but more or less are contemplated by the present invention.

Alternatively, a multi-stage flash evaporator could be employed rather than a multi- effect evaporator. In system 330, noncondensibles may be removed in a manner similar to system 300. A plurality of sensible heat exchangers 336 may be coupled to vessel 332 and the multi-effect evaporators for heating the feed or for other suitable functions.

FIGURE 44 illustrates an evaporator system 340 according to another embodiment of the invention. System 340 is similar to system 300, except that a pump 342 is driven by a Brayton cycle engine 344 or other suitable engines, such as a Diesel engine or Otto cycle engine. In one embodiment of system 340, hot engine exhaust 346 is thermally contacted with the feed in the vessel 348, which produces more product.

FIGURE 45 illustrates an evaporator system 350 according to another embodiment of the invention. System 350 is a combination of system 340 (FIGURE 44), but includes a multi-effect evaporator 352, which allows additional evaporation to occur. Only three stages are shown in FIGURE 45, but more or fewer are contemplated by the present invention. Alternatively, a multi-stage flash evaporator could be employed rather than a multi-effect evaporator.

FIGURE 46 illustrates an evaporator system 360 according to another embodiment of the invention. System 360 is similar to system 300 (FIGURE 42), except that a pump 362 is driven by a steam turbine 364. Steam turbine may be a portion of a Rankine cycle. In this embodiment, the low-pressure steam 365 is sent to a steam jet ejector 366, such as those described above. Although FIGURE 46 illustrates a single steam jet ejector 365, system 360 may have multiple stages or it may have a cascade steam jet ejector system, such as those described above. Steam jet ejector 366 is in series with a liquid jet ejector 368. In some embodiments, energy

that is added to vessel 361 can cascade through a multi-effect evaporator, which allows additional evaporation to occur, similar to system 330 above.

FIGURE 47 illustrates an evaporator system 370 according to another embodiment of the invention. System 370 is similar to system 360 (FIGURE 46), except that the steam jet ejector 372 is in parallel with the liquid jet ejector 374. As such, steam jet ejector 372 also receives vapor from vessel 376 and compresses it before adding it to the vaporexiting a knock-out tank 378, which then is sent to a heat exchanger 379 in vessel 376. In some embodiments, energy that is added to vessel 376 can cascade through a multi-effect evaporator, which allows additional evaporation to occur, similar to system 330 above.

FIGURE 48 illustrates an evaporate system 380 according to another embodiment of the invention. System 380 is similar to systems 360 and 370, except that the waste low-pressure steam 382 from a turbine 384 is sent directly to the primary heat exchanger 386. In some embodiments, energy that is added to vessel 381 can cascade through a multi-effect evaporator, which allows additional evaporation to occur, similar to system 330 above.

FIGURE 49 illustrates an analysis of system 330 using the pump drive mechanism described in system 370. This analysis illustrates that 1 kg of high- pressure steam fed to the turbine produces 78.2 kg of distilled water. The assumptions follow: Temperature difference in main heat exchanger = 5°C Compression ratio = 1. 2 Number of multi-effect evaporators = 8 (three shown in FIGURE 49) Steam jet ejector per-stage compression ratio = 1.03 Steam jet ejector number of stages = 6 Steam jet ejector number of cascade levels = 3 Steam jet ejector area ratio = 5 Liquid jet ejector efficiency = 0. 75 Pump efficiency = 0. 85 (appropriate for large industrial pumps) Steam turbine efficiency = 0. 8 (relative to isentropic turbine) The mass ratios shown for the cascade steam jet ejector are based upon the analysis presented above.

The mass flow through the liquid jet ejector is calculated as follows: Steam Through Liquid Jet Ejector= where Lu ils the specific enthalpy of the condensing steam (1.2 atm), HeVap is the specific enthalpy of the evaporating steam (1.0 atm), T) is the pump efficiency, #ejector is the liquid jet ejector efficiency, and Wshaft is the shaft work. The shaft work is calculated as follows: where msteam is the mass of high-pressure steam, llhZrbne is the turbine efficiency (compared to isentropic), Hhigi, is the specific enthalpy of the high-pressure steam from the boiler, and Hlow is the specific enthalpy of the low-pressure steam exiting the turbine. (Note: The conditions at the exit of the turbine correspond to an isentropic expansion.) FIGURE 50 illustrates an analysis similar to the one shown in FIGURE 49.

All the assumption are identical, except that the steam jet ejectors use an area ratio of 3, and four cascade levels are employed. In this scenario, 1 kg of high-pressure steam produces 93.4 kg of distilled water.

FIGURE 51 illustrates an analysis similar to the one shown in FIGURES 49 and 50, except that no steam jet ejector is employed. The waste steam from the turbine is directly sent to the condensing side of the primary heat exchanger. In this case, 1 kg of high-pressure steam produces 75.5 kg of distilled water, which is nearly identical to the case shown in FIGURE 49, but not quite as good as the case presented in FIGURE 50. This illustrates that there may be a benefit of using the jet ejectors only if they are very efficient (i. e. , low area ratio with many stages).

The following table compares various options: Energy (kJ/kg distilled water) Single-effect evaporator (100°C) 2,256. 58 FIGURE 51. 39.11 57.7 FIGURE 49 37. 80 59. 7 FIGURE 50 31. 96 70. 6 FIGURE 44 (engine efficiency = 30%) 40. 99 55.1 FIGURE 44 (engine efficiency = 40%) 30.75 73.4 FIGURE 44 (engine efficiency = 50%) 24. 60 91. 7 FIGURE 44 (engine efficiency = 60%) 20. 50 110. 1 FIGURE 45 (engine efficiency = 30%, 8 stages) 37. 29 60. 5 FIGURE 45 (engine efficiency = 40%, 8 stages) 28. 44 79. 4 FIGURE 45 (engine efficiency = 50%, 8 stages) 23.01 98.1 FIGURE 45 (engine efficiency = 60%, 8 stages) 19. 32 116. 8 * Effect = Energy of single-effect evapor/Energy of the option

This table illustrates that a simple liquid jet ejector combined with a high-efficiency engine (FIGURES 44 and 45) may be the most attractive option. However, high- efficiency engines often require premium fuels, which can be expensive. The steam- turbine systems (FIGURE 46 through 48) may use low-cost fuels (e. g. , coal), and may be the most economical system in some situations.

An advantage is it uses a high-efficiency liquid jet ejector in a cost-effective dewatering system. When combined with steam jet ejectors and multi-effect evaporators, any energy inefficiencies of the liquid jet system (liquid jet itself, pump, turbine) produce heat that usefully distills liquid. This liquid jet ejector may be used in water-based air conditioning.

FIGURES 52 through 55 illustrate various embodiments of an improved design of a vapor-compression evaporator system. Some important features of the improved designs are (1) compressor equipment may be smaller due to lower vapor throughput, and (2) the systems may be tuned to'the operating regions where the compressors are most efficient.

FIGURE 52 illustrates a vapor-compression evaporator system 400 according to one embodiment of the invention. In the illustrated embodiment, system 400

includes a plurality of vessels 402a-c in series to form a multi-effect evaporator system. Each vessel contains a feed 404 having a nonvolatile component (e. g. , salt, sugar). The feed 404 may first be degassed by pulling a vacuum on it (equipment not explicitly shown). A liquid jet ejector 406 is coupled to the last vessel in the series (402c) and is operable to receive a vapor therefrom. An example of liquid jet ejector 406 is one marketed by Hijet from Houston, TX. A pump 408 is operable to deliver a motive liquid 410 to the liquid jet ejector 406 for compressing the vapors pulled from the coldest evaporator stage, vessel 402c. A knock-out tank 412 is coupled to liquid jet ejector 406 and is operable to separate liquid and vapor received from liquid jet ejector 406. A plurality of heat exchangers 414a-c are coupled'inside respective vessels 402a-c. Heat exchanger 414a is operable to receive the vapor from knock-out tank 412, at least some of the vapor condensing therein, whereby the heat of condensation provides the heat of evaporation to vessel 402a. At least some of the vapor inside vessel 402a is delivered to heat exchanger 414b, whereby the condensing, evaporating, and delivering steps continue until the last vessel in the series is reached (in this embodiment, vessel 402c).

In FIGURE 52, only three stages are shown (i. e. , three vessels 402); however, more or fewer could be used. Concentrated product 416 may be removed from each of the vessels 402. Energy that is added to system 400 may be removed using a suitable condenser 418. Alternatively, if condenser 418 were eliminated, the energy added to system 400 will increase the temperature of concentrated product 416. This is acceptable if the product is not temperature sensitive. To remove noncondensibles from system 400, a small stream is pulled from each vessel 402 and passed through a suitable condenser 419 and is sent to a vacuum pump (not shown).

In system 400, motive liquid 410 may be a nonvolatile, immiscible, nontoxic, low-viscosity liquid (e. g. , silicone oil) or it may be water. If it is water, the water will be in near equilibrium with the vapors discharged from jet ejector 406. When this water is pumped, it may easily cavitate in pump 408. In one embodiment, to overcome this problem, knock-out tank 412 is elevated relative to pump 408 so there is no cavitation. Ideally, if the system were perfect, the liquid water could be recycled indefinitely. However, in reality, energy is input into the circulating water (e. g., pump losses, pipe friction). This energy input causes the circulating water to

evaporate, so make-up water should be added. In one embodiment, the make-up water is feed water, which has the following benefits: (1) the nonvolatile components increase the fluid density, which improves the efficiency of the jet ejector and (2) the waste thermal energy generated within the circulating fluid causes water to evaporate, which forms more product.

FIGURE 53 illustrates a vapor-compression evaporator system 430 according to another embodiment of the invention. System 430 is similar to system 400 above, except that the vapor-compression evaporator vessels 432 are operated at a higher temperature and pressure than in system 400. In system 430, energy that is added to the vapor-compression evaporator vessels 432 may cascade through a multi-effect evaporator 434 (three stages shown), which allows additional evaporation to occur.

Alternatively, a multi-stage flash evaporator may be employed rather than a multi- effect evaporator. In system 430, noncondensibles may be removed in a manner similar to system 400.

FIGURE 5, 4 illustrates a vapor-compression evaporator system 440 according to another embodiment of the invention. System 440 is similar to system 400 above, except that the vapors are compressed using a mechanical compressor 442 driven by a suitable electric motor 443. To reduce the superheat in compressor 445, and thereby increase its efficiency, atomized liquid water 444 is added to compressor 445.

Preferably, the liquid water is feed water; as water evaporates from the feed water as it removes the heat of compression, it creates more distilled water and a concentrated product. Alternatively, if the compressor materials do not tolerate the nonvolatile components (e. g. , salt) in the circulating cooling liquid 444, then the cooling liquid 445 could be distilled water.

FIGURE 55 illustrates a vapor-compression evaporator system 450 according to another embodiment of the invention. System 450 is similar to systems 440 except that energy that is added to vapor-compression evaporators 452 may cascade through a multi-effect evaporator 454, which allows additional evaporation to occur, similar to system 430 above.

Thus, advantages of the vapor-compression evaporator systems of FIGURES 52 through 55 are 1) because the vapor flow through the compressors is smaller, the compressors may be smaller than the compressors described in the evaporator systems

above; and 2) the compression ratio may be adjusted so the compressor operates in its most efficient range. This is particularly important for a liquid jet ejector, which has lower efficiency at lower compression ratios.

Referring now to FIGURES 56 through 61, in general, a heat exchanger is provided that includes a shell and a sheet assembly disposed within the shell. The sheet assembly may include a number of substantially parallel rectangular sheets configured such that they define first passageways extending generally in a first direction and second passageways extending generally in a second direction perpendicular to the first direction. The sheet assembly may be configured such that communicating a first fluid through the first passageways and communicating a second fluid through the second passageways causes heat transfer between the first and second fluids. For example, the first fluid may comprise high pressure steam and the second fluid may comprise a liquid solution (such as saltwater, seawater, concentrated fermentation broth, or concentrated brine, for example) such that communicating the high-pressure steam and the liquid solution through the first and second passageways, respectively, causes at least a portion of the high-pressure steam to condense and at least a portion of liquid solution to boil off.

FIGURE 56 illustrates a cross-section of an example heat exchanger assembly 500 including a shell 510 and a sheet assembly 512 disposed within shell 510 in accordance with an embodiment of the invention. Shell 510 may comprise any suitable shape and may be formed from any suitable material for housing pressurized gasses and/or liquids. For example, in the embodiment shown in FIGURE 56, shell 510 comprises a substantially cylindrical portion 516 and a pair of hemispherical caps (not expressly shown) coupled to each end of cylindrical portion 516. The cross- section shown in FIGURE 56 is taken at a particular point along the length of cylindrical portion 516, which length extends in a direction perpendicular to the page.

In general, heat exchanger assembly 500 is configured to allow at least two fluids to be communicated into shell 510, through passageways defined by sheet assembly 512 (such passageways are illustrated and discussed below with reference to FIGURE 57A) such that heat is transferred between the at least two fluids, and out of shell 510. Shell 510 may include any number of inlets and outlets for communicating fluids into and out of shell 510. In the embodiment shown in FIGURE 56, shell 510

includes a first inlet 520, a first outlet 522, a second inlet 524, a second outlet 526 and a third outlet 528. First inlet 520 and first outlet 522 are configured to communicate a first fluid 530 into and out of shell 510. Second inlet 524, second outlet 526, and third outlet 528 are configured to communicate a second fluid 532 into and out of shell 510.

Due to the transfer of heat between first fluid 530 and second fluid 532, at least a portion of first fluid 530 and/or second fluid 532 may change state within shell 510 and thus exit shell 510 in a different state than such fluids 530 and/or 532 entered shell 510. For example, in a particular embodiment, relatively high-pressure steam 534 enters shell 510 through first inlet 520, enters one or more first passageways within sheet assembly 512, becomes cooled by a liquid 540 flowing through one or more second passageways adjacent to the one or more first passageways within sheet assembly 512, which causes at least a portion of the steam 534 to condense to form steam condensate 536. The steam condensate 536 flows toward and through first outlet 522. Concurrently, liquid 540 (saltwater, seawater, concentrated fermentation broth, or concentrated brine, for example) enters shell 510 through second inlet 524, enters one or more second passageways within sheet assembly 512, becomes heated by steam 534 flowing through the one or more first passageways adjacent to the one or more second passageways within sheet assembly 512, which causes at least a portion of the liquid 540 to boil to form relatively low pressure steam 542. The low pressure steam 542 escapes from shell 510 through second outlet 526, while the unboiled remainder of liquid 540 flows toward and through third outlet 528.

In some embodiments, heat exchanger assembly 500 includes one or more pumps 550 operable to pump liquid 540 that has exited shell 510 through third outlet 528 back into shell 510 through second inlet 524, as indicated by arrows 552. Pump 550 may comprise any suitable device or devices for pumping a fluid through one or more fluid passageways. As shown in FIGURE 56, liquid 540 may be supplied to the circuit through a feed input 554. In embodiments in which liquid 540 comprises a solution (such as a seawater solution, for example), a relatively dilute form of such solution (as compared with the solution exiting shell 510 through third output 528) may be supplied through feed input 554. In addition, a portion of liquid 540 being pumped toward second inlet 524 of shell 510 may be redirected away from shell 510, as indicated by arrow 556. In embodiments in which liquid 540 comprises a solution

(such as a seawater solution, for example), such redirected liquid 540 may comprise a relatively concentrated form of such solution (as compared with the diluted solution supplied through feed input 554). Although inlets 520,524 and outlets 522,526 and 528 are described herein as single inlets and outlets, each inlet 520,524 and each outlet 522,526 and 528 may actually include any suitable number of inlets or outlets.

Heat exchanger assembly 500 may also include a plurality of mounting devices 560 coupled to shell 510 and operable to mount sheet assembly 512 within shell 510. Each mounting device 560 may be associated with a particular corner of sheet assembly 512. Each mounting device 560 may be coupled to shell 510 in any suitable manner, such as by welding or using fasteners, for example. In the embodiment shown in FIGURE 56, each mounting device 560 comprises a Y-shaped bracket into which a corner of sheet assembly 512 is mounted. Each mounting device 560 may extend along the length of shell 510, or at least along the length of a portion of shell 510 in which fluids 530 and 532 are communicated, in order to create two volumes within shell 510 that are separated from each other. A first volume 564, which includes regions generally to the left and right of sheet assembly 510, as well as one or more first passageways defined by sheet assembly 510 (such first passageways are illustrated and discussed below with reference to FIGURE 57A), is used to communicate first fluid 530 through heat exchanger assembly 500. A second volume 566, which includes regions generally above and below sheet assembly 510, as well as one or more second passageways defined by sheet assembly 510 (such second passageways are illustrated and discussed below with reference to FIGURE 57A), is used to communicate second fluid 532 through heat exchanger assembly 500.

Since first volume 564 is separated from second volume 566 by the configuration of sheet assembly 512 and mounting devices 560, first fluid 530 is kept separate from second fluid 532 within shell 510. In addition, one or more gaskets 562 may be disposed between each Y-shaped bracket 560 and its corresponding corner of sheet assembly 512 to provide a seal between first volume 564 and second volume 566 at each corner of sheet assembly 512. Gaskets 562 may comprise any suitable type of seal or gasket, may have any suitable shape (such as having a square, rectangular or round cross-section, for example) and may be formed from any material suitable for forming a seal or gasket.

Heat exchanger assembly 500 may also include one or more devices for sliding, rolling, or otherwise positioning sheet assembly 512 within shell 510. Such devices may be particularly useful in embodiments in which sheet assembly 512 is relatively heavy or massive, such as where sheet assembly 512 is formed from metal.

In the embodiment shown in FIGURE 56, heat exchanger assembly 500 includes wheels 568 coupled to sheet assembly 512 that may be used to roll sheet assembly 512 into shell. Wheels 568 may be aligned with, and roll on, wheel tracks 570 coupled to shell 510 in any suitable manner.

FIGURE 57A illustrates a three-dimensional view of sheet assembly 512 of heat exchanger assembly 500 in accordance with one embodiment of the invention.

Sheet assembly 512 includes a plurality of sheets 580 configured and coupled to each other to form a plurality of first passageways 582 extending in a first direction 584 alternating with a plurality of second passageways 586 extending in a second direction 588 perpendicular to the first direction 584. Each passageway 582 and 586 is substantially defined by an adjacent pair of sheets 580. In this embodiment, sheets 580 are aligned substantially parallel and, when positioned within shell 510, the major surface of each sheet 580 extends in a plane substantially perpendicular to the direction of the length of cylindrical portion 516 of shell 510.

As discussed above with reference to FIGURE 56, first passageways 582 form a portion of first volume 564 and are thus used to communicate first fluid 530, while second passageways 586 form a portion of second volume 566 and are thus used to communicate second fluid 532. As fluids 530 and 532 pass through alternating first passageways 582 and second passageways 586, respectively, heat is transferred from the higher temperature fluid 530 or 532 to sheets 580, and then from sheets 580 to the lower temperature fluid 530 or 532. In this manner, heat is transferred between fluids 530 and 532 via sheets 580.

In the embodiments shown in FIGURE 57A, each sheet 580 has a substantially square shape having four edges 590. In other embodiments, sheets 580 may comprise any suitable shape and configuration. For example, sheets 580 may have a generally rectangular, hexagonal, circular, or other geometric shape. In order to define alternating passageways 582 and 586, each sheet 580 is coupled to an adjacent sheet 580 on one side at two of the four edges 590 and to an adjacent sheet

580 on the other side at the other two of the four edges 590. For example, sheet 580a, which is positioned between adjacent sheet 580b and adjacent sheet 580c, is coupled to adjacent sheet 580b at opposite edges 590a and 590b of sheet 580a, and is coupled to adjacent sheet 580c at opposite edges 590c and 590d of sheet 580a.

Sheets 580 may be coupled to each other at edges 590 in any suitable manner, as discussed in greater detail below with reference to FIGURE 59. In the embodiment shown in FIGURE 57A, each sheet 580 is folded near each edge 590 to form flanges 592 at each edge 590 which are then coupled to corresponding flanges 592 of adjacent sheets 580. FIGURE 57B is a blown-up view of a corner area of sheet assembly 512, illustrating flanges 592 of adjacent sheets 580 being coupled to each other in accordance with an embodiment of the invention. As shown in FIGURE 57B, sheet 580a is folded twice at approximately 90 degree angles to form a flange 592a including a first flange portion 594a and a second flange portion 596a. First flange portion 594a forms an approximately 90 degree angle with the major portion of sheet 580a, indicated as 598a, and second flange portion 596a forms an approximately 90 degree angle with first flange portion 594a. Thus, the surface of second flange portion 596a is approximately parallel with the surface of major portion 598a of sheet 580a. A triangular flap 600a is folded from first flange portion 594a and may be affixed to second flange portion 596a (such as by welding, for example). Similarly, sheet 580b is folded twice at approximately 90 degree angles to form a flange 592b including a first flange portion 594b and a second flange portion 596b. First flange portion 594b forms an approximately 90 degree angle with the major portion of sheet 580b, indicated as 598b, and second flange portion 596b forms an approximately 90 degree angle with first flange portion 594b. Thus, the surface of second flange portion 596b is approximately parallel with the surface of major portion 598b of sheet 580b. A triangular flap 600b is folded from first flange portion 594b and may be affixed to second flange portion 596b (such as by welding, for example).

FIGURE 57C illustrates a side view of the corner of sheet assembly 512 illustrated in FIGURE 57B.

FIGURES 58A-58B illustrate an example method of forming a particular sheet 580a, including flanges 592, of sheet assembly 512 in accordance with one embodiment of the invention. FIGURE 58A illustrates a generally flat sheet 610 of

material, such as sheet metal or one or more polymers, for example. The sheet 610 has a generally'square shape including one or more notches removed from each corner. Cuts 612 are formed in each corner at approximately 45 degrees relative to the edges 590 of sheet 610 in order to form triangular flaps 600 in the resulting sheet 580a. From sheet 610 formed as shown in FIGURE 58A, flanges 592a are formed by folding sheet 610 at each fold line 614 (indicated in FIGURE 58A by dashed lines) at approximately 90 degree angles. For example, flange 592a may be formed by (a) folding the edge portion 590a of sheet 610 approximately 90 degree inward (out of the page and toward the center of sheet 610) at fold line 614a to form first flange portion 594a, and (b) folding the remaining edge portion 590a of sheet 610 approximately 90 degree outward (to the left and down toward the page) at fold line 614b to form second flange portion 596a. Thus, the resulting flange 592a extends generally out of the page. The flange 592 at opposing edge 590b may be formed in the same manner as flange 592a. The flanges 592 at edges 590c and 590d may be formed in a similar, but opposite, manner such that the flanges 592 at edges 590c and 590d extend generally into the page. Triangular flaps 600 may then be folded down and connected (such as by welding) to second flange portions 596 to reinforce each flange 592. For example, triangular flap 600a may be folded down and welded to second flange portion 596a to reinforce flange 592a.

FIGURE 58B illustrates the resulting sheet 580a, including flanges 592 at each edge 590a-590d of sheet 580a. Flanges 592 at edges 590a and 590b of sheet 580a extend in a first direction (out of the page), such that they may be coupled to flanges 592 of adjacent sheet 580b, while flanges 592 at edges 590c and 590d of sheet 580a extend in the opposite direction (into the page), such that they may be coupled to flanges 592 of adjacent sheet 580c.

Sheets 580 may also include one or more protrusions for preventing passageways 582 or 586 between adjacent sheets 580 from being cut off, such as due to the distortion of sheets 580 during operation of heat exchanger apparatus 500 (such as due to the presence of high-pressure fluids, for example) and/or to provide additional strength or stiffening to sheets 580. In the embodiment shown in FIGURES 58A-58B, sheet 580a includes a plurality of stiffening ribs, or corrugations, 620 which strengthen sheet 580a, as well as ensure that the second passageway 586

between sheets 580a and 580b remains intact during the operation of heat exchanger apparatus 500. Sheet 580b may also include a plurality of stiffening ribs (not expressly shown) operable to engage stiffening ribs 620 of sheet 580a. In a particular embodiment, such stiffening ribs of sheet 580b are oriented in a direction perpendicular to that of stiffening ribs 620 of sheet 580a.

FIGURE 58C illustrates a cross-sectional view of sheet 580a taken along Cut A shown in FIGURE 58B. FIGURE 58D illustrates a cross-sectional view of sheet 580a taken along Cut B shown in FIGURE 58B. Taken together with FIGURE 58B, FIGURES 58C and 58D illustrate that, as discussed above, flanges 592 at edges 590a and 590b of sheet 580a extend in a first direction (out of the page), while flanges 592 at edges 590c and 590d of sheet 580a extend in the opposite direction (into the page).

As discussed above, in forming sheet assembly 512, second flange portion 596a of flange 592a of sheet 580a may be coupled to second flange portion 596b of flange 592b of sheet 580b in any suitable manner. FIGURE 5. 9 illustrates various example manners in which second flange portion 596a may be coupled to second flange portion 596b. As shown in FIGURE 59, second flange portion 596a may be coupled to second flange portion 596b by a weld 630; a brazed connection 632; a crimp clamp 634 ; one or more fasteners 636, such as a rivet or screw for example ; or a crimp connection 638, for example. For some types of couplings, a gasket 640 may be inserted in order to assure a seal between second flange portion 596a and second flange portion 596b (and thus a seal between sheets 580a and 580b at the relevant edge of 580a and 580b). In embodiments in which one or more fasteners 636 are used, stiffeners 642 may be provided to strengthen or reinforce the connection.

As discussed above, sheets 580 may be formed from any suitable material, such as sheet metal or one or more polymers, for example. Table 1 compares various polymers that could be used for the sheet-polymer assemblies. The underlined value in Table 1 is used to calculate the overall heat transfer coefficient, U, which is determined as follows: where

hui inside heat transfer coefficient = 3000 Btu/(h ft2 °F) (for boiling water) ho outside heat transfer coefficient = 15, 000 Btu/ ft2 °F) (dropwise condensation for polymer) = 2, 000 Btu/ ft2 °F) (filmwise condensation for metal) k = thermal conductivity of material (Btu/ °F) x = material thickness = 0.01 in = 500 mil = 0.00083 ft The overall heat transfer coefficient U is reported in the fifth column of Table 1. The cost of each polymer per square foot, C, is shown in the fourth column of Table 1. The ratio UIC is reported in the sixth column of Table 1, which is the overall heat transfer coefficient on a dollar basis, rather than an area basis. The ratio U/C may be referred to as the"figure of merit."The polymers are listed in order, with the highest UlC appearing at the top and the lowest U/C appearing at the bottom. In the last column of Table 1, the ZIlC for each polymer is compared to that of stainless steel (SS) and titanium (Ti). Stainless steel resists corrosion for many solutions (e. g., sugar, calcium acetate), but titanium may be used for particularly corrosive solutions, such as seawater, for example.

The polymer with the highest U/C is HDPE (high-density polyethylene).

Polypropylene is also very good, and it may perform well at slightly higher temperatures. Other polymers (polystyrene, PVC) may also be considered, but their U/C performance may not be quite as good as polyethylene or polypropylene. As a general rule, the thermal conductivity of the polymers is much lower than metals, but their U/C performance may be superior because of their low material cost relative to metals. In addition, polymers are typically less expensive to form into the final shape of sheets 580 and sheet assembly 512 than metals. Further, polymer structures may be easier to seal, providing an additional benefit over metals.

HDPE has a thermal conductivity comparable to stainless steel if the polymer molecules are aligned in the direction of heat flow (see third column, first row, Table 1). FIGURE 60A illustrates an example method of aligning the molecules in a sample 650 of HDPE by drawing the polymer melt through a die 652. The shear orients the HDPE molecules in the flow direction, thus forming a molecularly-oriented HDPE block 654. By cutting polymer sheets 656 from such molecularly-oriented HDPE block 554 in which the molecules are aligned perpendicular to the sheet surface 658,

the heat transfer performance of the HDPE sheet may be increased or maximized.

In some situations, the desired size of sheets 580 for a sheet assembly 512 may be larger than the molecularly-oriented polymer (e. g. , HDPE) block 654 that may be produced due to available manufacturing equipment, equipment limitations, cost or some other reason. FIGURE 60B illustrates a method of forming a sheet 580 (e. g. , a relatively large sheet 580) by joining a number of polymer sheets 656. Such polymer sheets 656 may be joined in any suitable manner to form sheet 580, such as welding or heating to a relatively low temperature, for example.

In addition to providing increased heat transfer per cost as compared with metal, polymers may be more corrosion-resistant, more pliable, and more easily formed into sheets 580 and sheet assembly 512.

Table 1. Comparison of polymers. Material Max. k C Uu U/C (U/C)plastic Working Thermal S/ft2 Btu/Btu/ (U/C) metal Temp. Conductivity (10 mil (h#ft2#°F) (h#@#°F) °F Btu/ (h-ft- thickness) HDPE (high-'160"0. 29' 0. 12' 220 2,000 2.64 (SS) density 175-250e 0.25 @ 70°Fk 0.11d 5. 93 (Ti) polyethylene) 0. 20 @ 212°Fk 4. 9-8. 1m LDPE (low- 185-214d 0.19i 0.10d 158 1, 500 1.98 (SS) density 180-212'0. 17-0. 24 4.45 (Ti) polyethylene) 0. 20 (70°Fk 0.14 @ 212°Fk Polypropylene 225d 0. 121 0. 09a 126 1, 400 1.84 (SS) 225-300e 0. 083-0. 12j O. l0d 4.15 (Ti) 0. 12 @ 70°Fk , 212OF HIPS (high-190 0. 083 0 Oga 104 1,156 1.52 (SS) impact 140-175e 3. 43 (Ti) polystyrene) 180d 0.24r 0.50a 260 1,037 1.37 (SS) Ultra-high MW 0.25d 3.08 (Ti) polyethylene PVC 140d 0.11j 0.14d 126 900 1.19 (SS) (polyvinyl 150-175e 0. 10k 2.67 (Ti) chloride) Acrylic 209c 0.12j 0.28a 137 489 0. 64 (SS) 180d 0.40d 1.45 (Ti) 175-225e ABS 180c 0.074-0.11p 0. 62a 126 242 0.32 (SS) 185d 0.52d 0. 72 (Ti) 160-200e Acetal 280c 0.25 @ 70°Fk 1.03 230 223 0.29 (SS) 195e 0.21 @ 212°Fk 0. 66 (Ti) PET 230 0. 08W 0. 54d 93 172 0.23 (SS) (polyethylene 175e 0. 51 (Ti) terephthalate) PBT 240f 0.17t 1.21a 189 156 0.21 (SS) (polybutylene 0.46 (Ti) teraphalate polyester, Hydex) CPVC 215 0. 08q 1. 92a 93 125 0.17 (SS) 230e 0.74d 0. 37 (Ti) Noryl 175-220e 0.11s 1.07a 126 117 0. 15 (SS) (polyphenylene 0.35 (Ti) oxide) Polycarbonate 280° 0.13 @ 70°Fk 1.86a 158 85 0. 11 (SS) 190d 0.14 @ 212°Fk 0. 25 (Ti) 250e Teflon 500d 0.14j 2.35a 158 71 0.094 550e 2. 21d (SS) 0. 21 (Ti) Polysulfone 3400 0.15u 3.42a 169 49 0.065 300e (SS) 0. 15 (Ti) Polyurethane 0. 13v 3. 25a 147 45 0. 060 (SS) 0.13 (Ti) 230d 0.032 Nylon 180-300e 0. 14j 6. 45a 158 24 (SS) 0.071 (Ti) 0.009 PEEK 480 0. 15q 25. 49a 168 6.6 (SS) 0.02 (Ti) 1. 68g Stainless Steel 9.4y 1.49d 1,085 759 1. 00 (SS) 1. 43" Titanium 7. 4" 1, 108 337 1. 00 (Ti) (a) K-mac Plastics (www. k-mac-plastics. net) (b) hs = 3000 BtU/(h ft °F) ho = 15,000 BtU/(h#ft2#°F) (dropwise condensation for plastic) ho = 2,000 BtU/ (h-ft2-F) (filmwise condensation for metal) h,/= k/x x = 0. 01 in = 0. 00083 ft (c) Hubert Interactive. (d) McMaster-Carr (e) Perry's Handbook of Chemical Engineering (Table 23-22) (f) K-mac Plastics (g) www. metalsdepot. com (h) www. halpeintitanium. com (i) R. M. Ogorkiewicz, Thermoplastics: Properties and Design, Wiley, London (1974) p. 133-135 (j) R. M. Ogorkiewicz, Engineering Properties of Thermoplastics, Wiley, London (1970) (k) P. e. Powell, Engineering with Polymers, Chapman and Hall, London (1983), p. 242 (1) Building Research Institute, Plastics in Building, National Academy of Sciences, 1955. (m) In the direction of molecular orientation, draw direction ratio of 25 www. electronics-cooling. com/html/20 august_techdata. html Choy C. L. , Luk W. H. , and Chen, F. C. , 1978, Thermal Conductivity of Highly Oriented Polyethylene, Polymer, Vol. 19, pp. 155-162. (n) Rickard Metals, rickardmetals. com ($3.50/lb) (0) Astro Cosmos, 888-402-7876 ($14/lb. Grade 2) (p) 3d-cam. com (q) boedeker. com (r) bayplastics. co. uk (s) sdplastics. com (t) tstar. com (u) plasticsusa. com (v) zae-bayem. de (w) toray. fr (x) efunda. com (y) Perry's Handbook of Chemical Engineering (Table 3-322)

FIGURES 61A-61D illustrates another example sheet assembly 512A in accordance with another embodiment of the invention. FIGURE 61A illustrates a three-dimensional view of sheet assembly 512A. FIGURE 61B is a blown-up view of a corner area of sheet assembly 512A, illustrating flanges 592A of adjacent sheets 580A being coupled to each other in accordance with an embodiment of the invention.

FIGURE 61C illustrates a side view of the corner of sheet assembly 512A illustrated in FIGURE 61B. FIGURE 61D illustrates the configuration of a flat sheet 610A of material, such as sheet metal or one or more polymers, for example, that may be used to form each sheet 580A of sheet assembly 512A (such as by folding sheet 610A, such as described above with regard to FIGURES 3A-3B). As shown in FIGURES 61A-61D, sheet assembly 512A is substantially similar to sheet assembly 512 shown in FIGURE 57A. However, unlike sheet assembly 512, sheet assembly 512A does not include triangular flaps 600 at the corners of each sheet 580A. Thus, sheet assembly 512A may be more simple to construct, and thus less expensive, than sheet assembly 512.

Although embodiments of the invention and their advantages are described in detail, a person skilled in the art could make various alterations, additions, and omissions without departing from the spirit and scope of the present invention.