SYSTEM, METHOD AND APPARATUS FOR THERMODYNAMICALLY OPTIMAL DISTILLATION OF WATER OR OTHER LIQUIDS
20220289595 · 2022-09-15
Assignee
Inventors
Cpc classification
C02F2303/22
CHEMISTRY; METALLURGY
International classification
Abstract
The United Nations predicts that within the next decade, 1.9 billion people will live in regions with absolute water scarcity. More energy efficient methods will be needed to enable large scale water desalination in order to alleviate the global water crisis. The primary objective of this research and development, prototype construction and the resultant patent application was to identify and develop a more energy efficient water desalination method, with very low capital and maintenance cost. The project investigated a novel mechanical vapor recompression system that recompresses the vapor with concurrent heat transfer back to the evaporation chamber thereby allowing the compression process to proceed along the saturated water line. In the proposed system, the evaporation and condensation chambers are thermally coupled. The saturated water vapor is collected from the evaporation chamber and brought to the condensation chamber where it is compressed very nearly isothermally against a heat transfer plate which results in a slight pressure increase. In turn, the condensation temperature increases slightly, causing the vapor to condense against the heat transfer plate thereby returning its latent heat of vaporization to the evaporation chamber. When the compression rate is slow relative to the heat transfer capacity, the compression process follows the saturated vapor line which results in a much lower enthalpy increase than adiabatic compressors. Parametric analysis demonstrated that the energy requirement can be inferior to 0.5 kWh/m.sup.3 of desalinated water while achieving a net daily output of over 4 cubic meters per day per 400×10.sup.3 W/K of thermal conduction between the compression and evaporation chambers. The energy requirement is approximately 10 times more energy efficient than reverse osmosis systems and offers a potential solution to the global water crisis.
Claims
1. An method of distilling a liquid using mechanical vapor recompression which comprises of: a. One or more thermally coupled evaporation chambers which contains a saturated liquid near its boiling temperature, one or more condensation chambers which contains a saturated vapor near its condensation temperature, a heat transfer means between the said one or more evaporation chambers and said one or more condensation chambers to allow the latent heat of vaporization to transfer from the said condensation chambers to the said evaporation chambers as the vapor condenses. b. A compressor to draw vapor from the compression chamber and compress the said vapor into the said one or more condensation chambers to create a differential pressure which results in a higher condensation temperature in the said one or more condensation chambers than the boiling temperature in the said one or more evaporation chambers. c. A heat transfer means between the said one or more condensation chambers and said one or more evaporation chambers to allow the latent heat of vaporization to be transferred from the said one or more condensation chambers to the said one or more evaporation chamber as the vapor condenses. d. Where the compression chamber of the compressor and the thermally coupled condensation chambers are joined during the compression such that heat transfer between the said condensation chamber and evaporation chamber occurs concurrently with the compression to avoid the generation of high enthalpy super heated vapor.
2. A method of distilling a liquid as defined in claim 1 where the liquid being distilled is seawater and the output of the system is desalinated water.
3. A method of distilling liquid as defined in claim 2 where condensation is occurring on the surface of the heat transfer means such that the vapor in the compression chamber and condensation chamber form a 2 phase system during compression as opposed to super heated steam.
4. A method of distilling a liquid as defined in claim 2 where the said compressor means is comprised of two or more bellows where a first bellows draws vapor from the said evaporation chamber while the second bellows compresses vapor into the said condensation chamber to create a differential pressure between the said evaporation and said condensation chambers during half of the cycle and the first bellows compresses vapor into the condensation chamber and the second bellows draws vapor from the evaporation chamber during the other half of the cycle.
5. A method of distilling a liquid as defined in claim 3 where the thermally coupled evaporation and condensation chambers comprise of: a. A top and bottom clam shell with a metal heat transfer surface separating the two half's, where the top chamber forms the evaporation chamber and the bottom chamber forms the condensation chamber. b. A means for inputting seawater into the evaporation chamber, removing concentrated bring from the evaporation chamber, and withdrawing distilled water from the condensation chamber are provided. c. A duct leading out of the evaporation chamber to the compressor input and a second duct leading from the compressor output to the condensation chamber.
6. A method of distilling a liquid as defined in claim 3 where the thermally coupled evaporation and condensation chambers comprise of: a. Multiple interleaved evaporation and condensation chambers in a single physical unit. b. Heat transfer surface between the bottom of each evaporation chamber and top of each adjacent condensation chamber. c. A duct to join the plurality of evaporation chambers to the input of the compressor. d. A second duct to join the plurality of condensation chambers to the output of the compressor.
7. A method of distilling a liquid as defined in claim 2 where one or more compressors and one or more thermally coupled evaporation chambers are contained in a thermally insulated structure, further characterized by: a. A heat exchanger to allow the incoming seawater to be heated by the outgoing desalinated water and outgoing concentrated brine. b. A thermal insulation sufficient to maintain the internal temperature of the said insulated structure at or near the evaporation temperature of the fluid in the evaporation chambers using the excess heat generated from the distillation process.
8. A method of distilling a liquid as defined in claim 2 where the said compressor is capable of displacing 1000 kg of water vapor while dissipating less than 2.5 kWh of energy due to friction, viscous damping, pressure drop and other dissipative effects.
9. A method of distilling a liquid as defined in claim 2 where the said heat transfer means between the one or more evaporation chambers and one or more condensation chambers has a thermal resistance when expressed in ° C./Watt which is equal to or less than (9.47×10.sup.−7/distillation rate) where the distillation rate is expressed in kg per second.
10. A method of distilling a liquid as defined in claim 2 where the said heat transfer means between the one or more evaporation chambers and one or more condensation chambers has a thermal resistance when expressed in ° C./Watt which is equal to or less than (2.44×10.sup.−6/distillation rate) where the said distillation rate is expressed in kg per second.
11. A method of distilling a liquid as defined in claim 2 where the latent heat of vaporization stored in the compression duct and the one or more compression chambers is sufficiently small relative to the thermal resistance of the heat transfer means between the one or more compression chambers and one or more evaporation chambers, that the pressure in the condensation chambers drops to a pressure near that of the evaporation chamber between compression strokes.
12. An method of distilling a liquid using mechanical vapor recompression which comprises of: a. One or more thermally coupled evaporation chambers which contains a saturated liquid near its boiling temperature, one or more condensation chambers which contains a saturated vapor near its condensation temperature, a heat transfer means between the said one or more evaporation chambers and said one or more condensation chambers to allow the latent heat of vaporization to transfer from the said condensation chambers to the said evaporation chambers as the vapor condenses. b. A compressor to draw vapor from the compression chamber and compress the said vapor into the said one or more condensation chambers to create a differential pressure which results in a higher condensation temperature in the said one or more condensation chambers than the boiling temperature in the said one or more evaporation chambers. c. A heat transfer means between the said one or more condensation chambers and said one or more evaporation chambers to allow the latent heat of vaporization to be transferred from the said one or more condensation chambers to the said one or more evaporation chamber as the vapor condenses.
13. A method of distilling a liquid as defined in claim 12 where the said compressor is capable of displacing 1000 kg of water vapor while dissipating less than 2.5 kWh of energy due to friction, viscous damping, pressure drop and other dissipative effects.
14. A method of distilling a liquid as defined in claim 13 where the said heat transfer means between the one or more evaporation chambers and one or more condensation chambers has a thermal resistance when expressed in ° C./Watt which is equal to or less than (9.47×10.sup.−7/distillation rate) where the distillation rate is expressed in kg per second.
15. A method of distilling a liquid as defined in claim 14 where one or more compressors and one or more thermally coupled evaporation chambers are contained in a thermally insulated structure, further characterized by: a. A heat exchanger to allow the incoming fluid to be heated by the outgoing distilled fluid and the outgoing waste fluid. b. A thermal insulation sufficient to maintain the internal temperature of the said insulated structure at or near the evaporation temperature of the fluid in the evaporation chambers using the excess heat generated from the distillation process.
16. A method of distilling a liquid as defined in claim 15 where the liquid being distilled is seawater and the output of the system is desalinated water.
17. A method of distilling a liquid as defined in claim 15 where the liquid being distilled is a mixture of an alcohol mixed with a water based solution.
18. An method of distilling a liquid using mechanical vapor recompression which comprises of: a. One or more thermally coupled evaporation chambers which contains a saturated liquid at its boiling temperature, one or more condensation chambers which contains a saturated vapor at its condensation temperature, a heat transfer means between the said one or more evaporation chambers and said one or more condensation chambers to allow heat transfer from the said condensation chambers to the said evaporation chambers. b. A compressor to draw vapor from the compression chamber and compress the said vapor into the said one or more condensation chambers to create a differential pressure which results in a higher condensation temperature in the said one or more condensation chambers than the boiling temperature in the said one or more evaporation chambers. c. A valve which opens to join the compressing chamber of the compressor with the one or more said condensation chambers during the compression stroke such that condensation occurs on the heat transfer surface of the heat transfer means as the pressure in increased, thereby preventing the formation of super heated vapor.
19. A method of distilling a liquid as defined in claim 18 where the said heat transfer means between the one or more evaporation chambers and one or more condensation chambers has a thermal resistance when expressed in ° C./Watt which is equal to or less than (2.44×10.sup.−6/distillation rate) where the said distillation rate is expressed in kg per second.
20. A method of distilling a liquid as defined in claim 19 where the latent heat of vaporization stored in the one or more compression chambers and any linking compression ducts is sufficiently small relative to the thermal resistance of the heat transfer means between the one or more compression chambers and one or more evaporation chambers, that the pressure in the condensation chambers drops to a pressure near that of the evaporation chamber between compression strokes.
Description
BRIEF DESCRIPTION OF DRAWINGS
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DETAILED DESCRIPTION OF PREFERRED EMBODIMENT
[0059] The preferred embodiment of the high efficiency distillation system uses a very small differential pressure cross the condensation unit and evaporation unit, to increase the condensation temperature in the condensation unit relative to the evaporation temperature in the evaporation chamber. The thermally coupled evaporation and condensation unit 100 can be found in
[0060] One of the keys to achieving good energy efficiency, is the thermal conductivity of the heat transfer plate 4. The thermal conductivity must be high enough to transfer the heat of vaporization back to the evaporation chamber. If the thermal conductivity is not adequate, the vapor will not be liquified fast enough, and a larger pressure differential will develop across the evaporation and condensation chambers as the compressor operates, causing additional mechanical work to be required and reducing energy efficiency. The thermal conductivity of the heat transfer plate should be good enough to transfer the latent heat of vaporization from the condensation chamber to the evaporation chamber with a small temperature differential, ideally less than 2° C. to achieve excellent energy efficiency. The need to have excellent thermal conductivity, low thermal resistance, between the vapor in the condensation chambers and saturated water in the evaporation chambers was described in Eq. 5 and Eq. 6 earlier. For the parametric analysis later in the document, the energy efficiency is bench marked for a design with a thermal resistance of 2.5° C./Megawatt. A dominant source of thermal resistance is the coefficient of convection from the vapor, to the plate, in the condensation chamber. The coefficient of convection can range from about 500 kW/° Cm.sup.2 for drop wise condensation, to about 5 kW/° C. m.sup.2 for film condensation. Coatings can be applied to the bottom surface of the heat transfer plate to promote dropwise condensation thereby achieving higher coefficients of convection as is known in the art.
[0061]
[0062]
[0063] In thermodynamics, compressors are generally assumed to be adiabatic. This is primarily due to the fact that the vapor remains in the compressor for a very short time, and the amount of heat transfer which may occur is generally very small compared to the overall mechanical work imparted on the vapor/gas. The adiabatic compression is problematic because it requires considerably more mechanical work given that the vapor is compressed into a super heated vapor, with relatively high enthalpy, which translates to more mechanical work and hence electrical power.
[0064] The thermodynamic cycle for a Prior Art Mechanical Vapor Compression system is shown on a Pressure Volume diagram in
[0065] The compression steps are where the two processes differ. For a prior art mechanical vapor recompression system, the compressor takes saturated vapor at 33, and given the compression follows an adiabatic path, produces super heated steam at point 34. The line between points 33 and points 34 in
[0066] In the newly proposed mechanical vapor compression system with thermal coupling between the compression 3 and evaporation 2 chambers, the heat transfer plate 4 ensures the vapor remains a 2 phase, saturated vapor and liquid system, while it is being compressed. As the vapor beings to be compressed, the condensation temperature increases.
[0067] For a compressor the work performed by the compressor can be calculated as:
[0068] Where:
[0069] q: is the heat transfer into the system (positive) or out of the system (negative)
[0070] w: is the work done on the system, by the compressor
[0071] h.sub.2: is the enthalpy of the vapor as it exits the compressor
[0072] h.sub.1: is the enthalpy of the vapor as it enters the compressor
[0073] V.sub.2: is the velocity of the vapor at the exit of the compressor
[0074] V.sub.1: is the velocity of the vapor as it enters the compressor.
[0075] For adiabatic compression, q is assumed to be zero. In a real compressor the heat transfer can never be completely eliminated, but it is generally small compared to the mechanical work imparted on the vapor and can be approximated as adiabatic. In addition, for most compression processes the kinetic energy of the gas at the entrance and exit is generally small compared to the enthalpy increase of the vapor. As such, for most adiabatic compressors, equation 1 can be simplified as:
w=h.sub.2−h.sub.1 Eq. 8
[0076] As such, ensuring that the enthalpy increase is kept to a minimum is beneficial in keeping the work which needs to be supplied by the compressor to a minimum. Compressor work roughly equates to the electrical power which needs to be drawn from the power grid, with an additional 5% to 10% adder to account for the efficiency of the electric motor and compressor efficiency plus any additional losses due to internal friction due to bearings, part to part sliding contact, pressure drop as gas moves through valves or lines and other sources of dissipative loss.
[0077]
[0078] If we now apply Eq. 7 above to the currently proposed mechanical vapor recompression, we have:
[0079] Where:
[0080] q: Is the heat transfer back from the condensation chamber to the evaporation chamber
[0081] w: work required to be done by the compressor
[0082] x: Quality factor of the saturated vapor/liquid mixture at the end of the compression stroke, where x is the fraction of vapor and (1−x) is the mass fraction of liquid.
[0083] h.sub.2gas: is the enthalpy of the water vapor at pressure 2.
[0084] h.sub.2liq: is the enthalpy of the liquid water at pressure 2.
[0085] v.sub.2 and v.sub.1: the output and input velocity of the vapor, which can be neglected for a bellows compressor.
[0086] Furthermore, given that the heat transfer out of the compression chamber is essentially the latent heat of vaporization times the mass of vapor which has been liquified we have:
q=−(1−x)h.sub.vap Eq. 10
where hvap is the enthalpy of vaporization and the (1−x) is the fraction of the water vapor mass which has been liquified. The negative is due to the fact that this heat has left the system (condensation chamber+bellows) given it has been transferred to the evaporation chamber.
[0087] Substituting the expression for q in Eq. 10 back into Eq. 9 we have:
[0088] Realizing the h.sub.2gas=h.sub.vap+h.sub.2liq and moving the −(1−x)h.sub.vap term to the right side of the equation we have:
[0089] Combining h.sub.2vap+h.sub.2liq into h.sub.2gas, and neglecting the kinetic energy term we have:
w=(xh.sub.2gas+(1−x)(h.sub.2gas))−h.sub.1gas Eq. 13
[0090] Combining x+(1−x)=1, we arrive at:
W=h.sub.2gas−h.sub.1gas Eq. 14
[0091] Eq. 14 is essentially identical to the simplified equation for adiabatic compression, with one major exception. In this case, h.sub.2gas is the enthalpy of the water vapor at its saturation temperature, as opposed to the super heated temperature when it is compressed adiabatically.
[0092]
[0093] The boiling point elevation coefficient for sodium chloride dissolved in water is 1.02° C./molal of salt. Sea water generally has about a 3% salt content by mass. As such, for 1 kg of water there is approximately 30 g of dissolved salt. The molar mass of NaCl is 58.44 g, from which we can conclude that the molality of salt in sea water is approximately 0.5 m.
[0094] The boiling point elevation can be calculated as:
ΔT.sub.b=K.sub.bm Eq. 15
[0095] Where:
[0096] K.sub.b is the molal boiling point constant, which is approximately 1.02° C./molal for NaCl.
[0097] m is the molality of NaCl in the solution.
[0098] Therefore, we calculate the boiling point temperature increase for sea water to be approximately 0.5° C. As such, the compressor would need to increase the pressure in the condensation unit sufficiently to overcome the boiling point temperature increase due to salt content, of about 0.5 degrees.
[0099]
[0100] There are several considerations when deciding the operating temperature and pressure of the system. Operating near atmospheric pressure allows very low cost mechanical devices to be used. For example, the distillation units can be housed in a relatively low cost structure with thermal insulation, but without the need to withstand a large pressure differential. Conversely, a system designed to operate at 65° C. would require a pressure of 25 kPa absolute, but requires less insulation. Due to the low pressure, the bellows based compressors and distillation/condensation units would need to be housed in a compartment which can maintain a low pressure, to avoid a pressure differential across the bellows, or else the individual units would need to be constructed to withstand a large pressure differential. However, operating at lower temperature reduces scaling due to the buildup of calcium sulfate on evaporative surfaces. Operating near atmospheric pressure would minimize capital cost but may require slightly higher operating cost.
[0101] The parametric analysis of the currently proposed mechanical vapor recompression system can be seen in
[0102] The increase in temperature and pressure is therefore proportional to the rate of compression, and to the thermal resistance between the condensation and evaporation chambers. Improved efficiencies can be obtained by reducing the compression rate, or reducing the thermal resistance between chambers. The primary method of reducing the thermal resistance is to increase the surface area at the condensing interface in the evaporation chamber. Maximizing convective heat transfer between the vapor and heat transfer surface is also critical. In an environment where saturated vapor is in contact with a surface which is cooler than the condensation temperature, the coefficient of convection between the saturated vapor and the cool surface can be very large. There are two general modes of condensation, film condensation and dropwise condensation. Film condensation generally refers to a system where the condensing vapor forms a film over the cool surface, while dropwise is when the condensing vapor forms small distinct droplets on the cool surface. The coefficient of convection for condensing water vapor in a film condensation environment is generally in the range of 5000 W/m.sup.2K while it is much larger, approximately 500 kW/m.sup.2K for dropwise condensation. Ensuring Dropwise condensation by applying a very thin hydrophobic coating on the heat transfer surface within the condensation chamber is therefore beneficial to minimizing thermal resistance.
[0103]
[0104] From
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[0107] In order to increase the overall area of the heat transfer surface between the evaporation chamber 2 and condensation chambers 3, an alternative to using many individual thermally coupled evaporation and condensation units 100, could be to use an interleaved design 110 as shown in
[0108] For an Interleaved thermally coupled condensation and evaporation module 110, the salt water inlet 7, includes a means of delivering sea water to each of the evaporation chambers such as a drip tube. Similarly, means for removing concentrated brine 8, would include a collection tube in each of the evaporation chambers. Means for removing distilled water 9 would similarly include a collection tube with an input near the bottom of each Condensation chamber. In the diagram, a feed tube or drip tube is shown going to each of the chambers to deliver or collect the required fluid.
[0109] The primary benefit of using interleaved thermally coupled condensation and evaporation module 110, as opposed to multiple individual thermally coupled condensation and evaporation modules 100, is that a great heat transfer plate surface area can be achieved in a given volume. For example, in a given distillation plan a larger capacity could be designed into a given thermally insulated enclosure. Also, an interleaved design should offer a lower cost per unit area of heat transfer plate making an interleaved design more cost effective.
[0110]
[0111] Within insulated structure 500, there is one or more compressor units 300 as well as one or more interleaved thermally coupled evaporation and condensation units 110. The salt water inlet 7, brine exit 8 and distilled water exit 9, pass through a heat exchanger 501 as they enter or exit the thermally controlled structure. The exiting brine 8 and exiting distilled water 9 are approximately at the internal operating temperature of the distillation system, while the salt water inlet 7 brings in cool sea water which would be at a lower temperature. The cross-flow heat exchanger 501 transfers the heat of the exiting fluids to the incoming seawater.
[0112] In this embodiment, the means for driving the compressor 400 is assumed to be an electrical motor. Although not strictly necessary, the electrical motor 400 is placed outside of the high temperature insulated structure 500 to ensure good efficiency and long life. The winding on most electrical motors will age faster if continuously exposed to elevated temperatures, as such it is beneficial to keep the motor external. A shaft is use to transfer the power from the motor 400 to the compressor 300. Not shown in the diagram would be several bearings such as roller or ball bearings to support the shaft while allowing it to rotate freely. The shaft would be used to power linkage 402. Linkage 402 could be a 4-bar linkage and may potentially include sliders or rollers as is generally known in the art of mechanical engineer design when translating power from a rotating motor to a reciprocating device. The purpose of linkage 402 is to convert the rotating motion of shaft 401 into a reciprocating or alternating motion to drive bellows 11 and 12. The attachment from the linkage 402 to the top of each bellows 11 and 12 is not shown for simplicity of the drawing. The compressor 300 is used to draw vapor from the evaporation chambers 22, 23, 24 and 25, and to compress vapor into condensation chambers 31, 32, 33 and 34 in order to perform the distillation, as previously described. Duct 5 carries vapor to all compression chambers while duct 6 carries vapor away from all evaporation chambers. The operation of valves 200, 201, 202 and 203 is similar to that previously described. The valves can be mechanically or preferably electrically controlled, or could be simple check valves specifically designed to have a very low pressure droop. Mechanical and Electrical control is preferred since this will allow the valves to open at precise times in the cycle to optimize thermodynamic efficiency and minimize the mechanical work which needs to be supplied by the compressor.
[0113] The insulated structure 500 can include a multitude of compressors 300, electrical motors 400 and thermally coupled evaporation and distillation units 1 and 110 systems.
[0114] The inventor believes that maximum cost efficiency could be achieved by having one large insulated structure hold a multitude of evaporation units. Given the system aims to use a minimum pressure differential necessary to perform the distillation, the excess heat per cubic meter of distilled water is relatively small. The excess heat can be in the range of 1 kWh per m.sup.3 of distilled water. As such, to prevent the need to heat the incoming water, it is desirable to place a larger quantity of units within a single insulated structure, such that the excess heat from the process be sufficient to keep the internal temperature of the structure at the desired operating temperature of the evaporator units. Furthermore, a radiator 502 can be incorporated after the saltwater inlet 7 has flowed through the heat exchanger 501. Given that a heat exchanger 501 will not necessarily bring the incoming seawater all the way to the desired temperature, if the air temperature within the thermally insulated structure 500 is higher than the salt water inlet temperature after passing through the heat exchanger 501, it can be beneficial to heat it using radiator 502 prior to inserting the salt water into evaporation chambers 22, 23, 24 and 25.
[0115]
[0116] Need for Fast Relaxation Time Relative to Stroke Interval:
[0117] During experimentation the author notice that for the currently proposed system which compresses the vapor along the saturated water line, it is necessary that the relaxation time of the compression chamber, be fast relative to the stroke interval. For example, the compression chamber is thermally coupled with the evaporation chamber. Once the bellows 11 or 12 have completed the compression stroke, there will be a short interval prior to the commencement of the next compression stroke. In order to achieve excellent thermodynamic efficiency and ensure that the next compression stroke also compresses the vapor along the saturated water line, it is necessary that the pressure within the condensation chamber drop during the internval between the end of the immediate compression stroke, and the beginning of the next compression stroke.
[0118] The relaxation time will increase as the total mass of compressed vapor increases and as the thermal resistance between the compression chamber and evaporation chamber increases.
[0119] The total energy stored as latent heat of vaporization in the condensation chamber 3 and duct 5 can be expressed as:
Q=V.Math.ρ.Math.h.sub.vap Eq. 16
[0120] Where:
[0121] Q is the total energy stored in the condensation chamber 3 and compression duct 5
[0122] V is the volume of the condensation chamber 3 and duct 5 in m.sup.3. If a multitude of compression chambers are attached in parallel they must all be considered.
[0123] ρ is the density of the compressed vapor in kg/m.sup.3
[0124] h.sub.vap is the latent heat of vaporization of the vapor in J/kg
[0125] The latent heat of vaporization, h.sub.vap, and the density p are a function of the vapor and the pressure to which it has been compressed. However, the volume V is a design choice. Ensuring that the duct 5 is short and that the total volume of the compression chambers is small, with help reduce the overall volume of the compression chamber and the total stored energy.
[0126] The rate at which heat leaves the condensation chamber was expressed in Eq. 3 and is rearranged here:
[0127] Where:
[0128] {dot over (Q)} is the rate at which heat is being transferred form the condensation chamber back to the evaporation chamber in J/s
[0129] ΔT is the temperature difference between the vapor in the condensation chamber and saturated liquid in the evaporation chamber.
[0130] R is the thermal resistance from the vapor in the condensation chamber 3 to the saturated water sitting on the heat transfer plate 4 in the evaporation chamber 2.
[0131] The relaxation time of the pressure in the condensation chamber can will be proportional to the ratio of Eq. 16 to Eq 17 as follows:
[0132] By ensuring the Relaxation Time as expressed in Eq. 18 is sufficiently small relative to the interval between compression strokes, the latent heat of vaporization in the condensation chamber has sufficient time to transfer to the evaporation chamber which allows the pressure in the condensation chamber to drop down suitably close to the pressure in the evaporation chamber. The key requirement is that the pressure in the evaporation chamber drops down to a pressure which is close to the pressure within the evaporation chamber. As such, at the beginning of the next compression stroke, the compressor valve linking the compression chamber of the respective bellows 11 or 12, can open linking the vapor in the bellows to the duct 5 and compression chamber 3, and the compression stroke proceeds along the saturated vapor line. As the bellows contracts, the pressure gradually and concurrently increases in the condensation chamber and vapor begins to condense on heat transfer surface 4. This allows the compression stroke to proceed along the saturated water line as opposed to adiabatically.
[0133] This consideration is not possible for a root blower type device which rotates at thousands of RPM and a rotary turbine of blower which rotates at tens of thousands of RPM. For these types of compressor's, the pressure in the condensation chamber gradually increases until a steady state is achieved. The compressor must therefore compress the vapor adiabatically from the intake pressure of the evaporation chamber, until the pressure at the output of the compressor is equal to the steady state pressure of the compression chamber. This is a key differentiation with the currently proposed invention which allows the compression stoke to occur along the saturated vapor line thereby achieving excellent thermodynamic efficiency.
ALTERNATIVE EMBODIMENTS
[0134] The preferred embodiments have described individual flat bed evaporators as well as interleaved evaporators, primarily because the small depth of brine results in very little hydrostatic pressure in the evaporator chamber, thereby ensuring that the boiling temperature of the fluid in contact with the heat transfer surface be as low as possible, minimizing the required pressure increase in the condensation chamber to effect liquification of the vapor. Additional benefits are their low manufacturing cost and ease of maintenance. Furthermore, for applications such as salt production where the solution must be dried out, flat bed evaporators are preferred. However, the same operating principle could be applied with conventional tube based heat exchangers. In fact, any type of heat exchanger which provides thermal coupling between the condensing vapor and the evaporating fluid, as the vapor is being compressed, could be used. The key operating principle of the current disclosure is that the vapor be compressed while it is in thermal contact with a heat transfer surface, such that the vapor be liquified while the compression is taking plate, such that the compression process follows the saturated water line as opposed to a constant entropy curve typical of adiabatic compressors. The production of super heated steam during the compression step is very undesirable due to the significant increase in required compressor work per kg of vapor. This is the key differentiation which enables reduced power consumption compared to current state of the art MVC systems which use adiabatic compression.
[0135] Furthermore, the preferred embodiments of the disclosure have described a bellows based compressor, primarily due to the desire to move a larger volume of water vapor with minimal energy loss due to friction or other dissipative effects. In order to distill 1000 kg of water, a total volume of 1674 cubic meters of water vapor must be compressed. Even a very modest amount of internal resistance in a piston based positive displacement compressor or roots type blower, could dissipate several kWh of energy when displacing such a large volume of vapor, even in the absence of a pressure differential. Most compressors are designed to impart a large pressure increase, in the range of a few atmospheres, potentially tens of atmospheres. Given the PV work is so large, a small amount of dissipated energy due to friction is not significant. For this system however, the objective is to maximize thermodynamic efficiency by using a very low differential pressure. The mechanical work requirement for a lossless compressor can be less than 1 kWh per 1000 kg of water vapor depending on the differential pressure used. As such, it is necessary that the compressor be able to displace a large volume of vapor, 1674 m.sup.3 for example, while ensuring a very small fraction of the 1 kWh total energy requirement be lost to friction and other dissipative effects. In principle, any type of compressing device could be used which allows the vapor to be pressed into the condensation chamber, while it is in contact with the heat transfer surface, where the energy lost to friction and other dissipative effects is substantially less than the PV work being imparted to the steam.
INDUSTRIAL APPLICABILITY
[0136] Due to the increasing requirements to desalinated seawater using lower energy requirements, seawater distillation is the primary focus of the current invention. However, the current disclosure is applicable to any process where a liquid needs to be distilled for the purpose of separating it from other liquids, or separating the liquid from a solid, and it is desirable to minimize the amount of energy needed to enable the distillation or evaporation process. The system, methods and apparatus described in the current patent application will find applications in water desalination, ethanol production, sea salt production and the separation of organic compounds by distillation.
REFERENCES
[0137] 1. Food and Water Organization of the United Nations (2021) Water scarcity. http://www.fao.org/land-water/world-water-day-2021/water-scarcity/en/Retrieved Jan. 10, 2021. [0138] 2. Busby, J. (2017, January) “Water and U.S. National Security”, Council on Foreign Relations. https://www.cfr.org/sites/default/files/pdf/2017/01/Discussion_Paper_Busby_Water_and_US_Security_OR.pdf [0139] 3. Alkaisi, A., Mossad, R., Sharifian-Barforoush, A., (2016). A review of the water desalination systems integrated with renewable energy. 1st International Conference on Energy and Power, ICEP2016, 14-16 December, RMIT University, Melbourne, Australia. [0140] 4. Bhambare, P. S., Majumder., M. C., Sudhir, V. (2018). Solar Thermal Desalination: A Sustainable Alternative for Sultanate of Oman. International Journal of Renewable Energy Research, Vol. 8, No. 2, June. [0141] 5. Eshoul, N., Almutairi, A., Lamidi, R., Alhajeri, H., Alenezi, A. (2018). Energetic, Exergetic, and Economic Analysis of MED-TVC Water Desalination Plant with and without Preheating. Water, 10, 305. [0142] 6. Kenneth Wark Jr. (1988). Thermodynamics (5th ed.), McGraw-Hill. [0143] 7. Curto, D., Franzitta, V., Guercio, A. (2021). A Review of the Water Desalination Technologies. Appl. Sci. 2021, 11, 670. [0144] 8. Frank P. Incropera, David P. De Witt (1990). Introduction to Heat Transfer (Second Edition), John Wiley & Sons.