Patent Application
20170210638
This invention is directed in general toward means and methods for purifying unpotable water (e.g. saltwater, brackish water, etc.). More specifically, it is directed to means and methods for purifying unpotable water that use solar energy.
Freshwater shortage is an escalating global problem, which is being exacerbated by global climate change, particularly the ever-expanding arid equatorial region, and by pollution of freshwater sources in rapidly industrializing emerging economies.
Existing methods of water treatment and desalination tend to have high costs associated with the infrastructure required to construct and maintain water treatment plants and with the energy required to run them. One approach to solving this problem has been the development of humidification-dehumidification (HDH) systems, in which water is evaporated and then re-condensed. HDH systems can be designed to use solar energy, an environmentally friendly and inexpensive energy source that is abundant in hot and arid areas. HDH desalination uses separate components for each of the thermodynamic processes in water purification, thereby allowing each component to be designed independently and allowing much greater flexibility in the design of the thermodynamic cycle used for evaporating water and then condensing the water vapor back into liquid water.
Japan Pat. Appl. Pub. No. 61-291093 discloses an apparatus for desalination of sea water. The apparatus comprises a container in which, when irradiated by solar radiation through a transparent plate, solar heat is efficiently absorbed by a thin layer of sea water on a heat absorbing heat insulating film. The temperature of the sea water at that part is effectively raised, generating steam having a pressure corresponding to the saturated steam pressure at that temperature. A fan draws a mixture of this steam and air into a suction pipe and from there into a condensing pipe group. Because the condensing pipe group is sufficiently low in temperature compared with the surface of the sea water layer present above the film, part of steam introduced into the condensing pipe group is condensed, generating fresh water which is, in turn, sent to a water storage tank.
U.S. Pat. No. 4,172,767 discloses a water purification system that is placed within a source of impure water. The system comprises a container for holding impure water, an upper portion of which is above the surface of the source of impure water; a cover of flexible plastic for the container, which causes heat from solar radiation impinging thereon to accumulate in the container, thus vaporizing water within; cloth covered baffles in the upper portion of the container for increasing the evaporation area; a blower for moving vapor across the upper portion of the container; a vapor pipe for receiving and transporting vapor from an area of one natural temperature through an area of a lower natural temperature, thereby condensing the vapor; and a pipe and a pump for transporting the condensed water to a storage tank.
U.S. Pat. No. 4,187,151 discloses a desalination device. The device comprises a base with a transparent or translucent chamber that floats on the surface of a body of salt water. Waves cause the chamber to expand and contract, and valves cause air to be pumped through the chamber. The moisture-laden air leaving the chamber is led to a condensation and collection tank below the level of the water.
U.S. Pat. No. 4,219,387 discloses a still a solar still adapted to float on a body of water. The still comprises a toroidal evaporating chamber with sunlight admitting and absorbing, respectively, top and bottom walls for vaporizing water from the body admitted to overlie the bottom wall. A surrounding inner float ring and underlying toroidal inflatable float support the chamber. A condenser depends from and communicates with the evaporating chamber through elongate coaxial vapor outlet and air return tubes, and in turn supplies distillate to a pendent holding tank. A rotatable shaft extending coaxially down through the evaporating chamber carries a fan to propel vapor from the evaporating chamber into the condenser due to rotation of a windmill atop the chamber. A curved reflector is rotatably driven atop the inner ring to direct additional sunlight on the evaporating chamber as the sun moves overhead. An outer float ring loosely coaxially surrounds the inner float ring. The annular water surface between the float rings, covered by a transparent film, forms an oxygen production zone occupiable by oxygen producing phytoplankton fed by nutrients in water brought up from beneath the thermocline by thermosiphon flow between the warm condenser and a surrounding heat skirt. Pump units mounted on the outer float ring remove distilled water and any oxygen produced, the latter for example to a device for dissolving the oxygen below the thermocline in the body of water.
U.S. Pat. No. 6,494,995 discloses a desalination device, A solar cell floats over a body of saline water. A submerged fresh water collection system underlies the cell. A partial vacuum is created in the solar cell for drawing water vapor from the cell to the collection system. Water vapor is condensed in a condenser disposed between the cell and the collection system. Heat generated by the condensation of water vapor is utilized to heat the salt water, which rises upwardly to replace the salt water vaporized in the cell.
Spanish Pat. No. 2110914 discloses a system for desalinating sea water and generating electrical energy using solar energy as heat source. A reflector assembly is formed by parabolic mirrors captures the solar energy in the boiler, where the water is converted into steam which, either directly or after converting the pressure thereof into electrical energy in a turbogenerator, is converted in a chiller into drinking water which accumulates in a tank. The mirror/boiler/chiller assembly is on a rotary platform above the pool which serves, at one and the same time, as reservoir, boiler base and chiller.
U.S. Pat. Appl. Pub. No. 2014/0197022 discloses a solar-powered HDH desalination system that includes a supply of saline or brackish water that passes through a dehumidifier/condenser. The saline or brackish water is preheated in the dehumidifier/condenser as a result of its condensation. A plurality of humidifying stages includes humidifiers and associated solar collectors. The solar collectors heat air, and the heated air then passes through a series of humidifiers to evaporate the preheated saline or brackish water, thereby separating pure water from the brine. The humid air is reheated and recirculated through the humidifying stages and the dehumidifier, and the desalinated water from the dehumidifier via condensation is collected and processed. The system recirculates the brine successively from each humidifier to the next for more efficient evaporation of the water and to lower energy consumption.
It can be seen from the preceding discussion that the systems known in the art lack important desirable features such as portability, modularity, low construction and maintenance costs, and high efficiency to allow energy-efficient production of fresh water from sources such as salt water, brackish water, or black water, at a reasonable cost and without a requirement that the water purification unit be physically located within the source of contaminated water. Thus, development of a system that meets these requirements remains a long-felt but as yet unmet need.
The present invention is designed to meet this need. The invention comprises a method for purifying contaminated water and a system on which the method can be performed. The method involves passing the contaminated water through a series of evaporator/condenser units. Contaminated water enters the system through the first of the condenser stages and then flows sequentially through the remaining ones to a solar water heater. The solar-heated contaminated water then flows sequentially through a series of evaporator stages, where it contacts a counter-flowing stream of air, until it exits the system. Some of the water evaporates in the evaporator stages, where it humidifies the air flowing through the evaporator stages, and is carried by the stream of humidified air sequentially through the remaining evaporator units and then through conduits passing through the condenser stages. The humid air cools as it flows through the condenser stages, whereupon at least some of the water vapor condenses out; the resulting purified water then flows to a collector or pure water exit.
It is therefore an object of the present invention to disclose a humidification-dehumidification (HDH) water purification system, comprising: (a) a water flow subsystem comprising a system water inlet 600; a system water outlet 500; a plurality of evaporator/condenser units, each of which comprises a condenser stage 1010, an evaporator stage 1020, and a divider 1030 disposed between said condenser stage and said evaporator stage; at least one heat exchange means 200 configured to transfer heat generated external to said water purification system to a fluid in thermal contact with said heat exchange means; and, collecting means 400 configured for collecting purified water; and, (b) an air circulation subsystem in fluid connection with said collecting means. It is within the essence of the invention wherein (a) said water circulation subsystem is configured such that said evaporator/condenser units and said heat exchange means are interconnected so as to conduct water from said system water inlet through said condenser stages to said heat exchange means and then from said heat exchange means sequentially through said evaporator stages to said system water outlet; (b) said air circulation subsystem is configured to circulate air sequentially through said evaporator stages in a direction opposite to a direction in which said water circulation system is configured to conduct water and such that air flowing through said evaporator stages can make physical contact with water being conducted through said evaporator stages, and then sequentially through said condenser stages; and, (c) said collecting means are interconnected with said air circulation system so as to conduct said purified water from said condenser stages to said collecting means.
It is a further object of this invention to disclose the HDH water purification system as defined above, wherein (a) said plurality of evaporator/condenser units comprises a first evaporator/condenser unit 100 connected to said system water inlet and said system water outlet; at least one intermediate evaporator/condenser unit 110; and a final evaporator/condenser unit 120 in fluid connection with said heat exchange means; (b) said air circulation subsystem comprises: a blower 300; and a conduit 3010 passing through each of said condenser stages and in fluid connection with said blower such that said blower is configured to direct a flow of air sequentially through each evaporator stage from said first evaporator/condenser unit through said final evaporator/condenser unit and then sequentially through each of said conduits from said final evaporator/condenser unit to said first evaporator/condenser unit; (c) said collecting means for collecting purified water are in fluid connection with a downstream end of said conduit passing through said condenser stage of said first evaporator/condenser unit; and, (d) said evaporator/condenser units and said heat exchange means are interconnected so as to conduct water through said HDH water purification system from said system water inlet sequentially through said condenser stages of said evaporator/condenser units from said first evaporator/condenser unit to said final evaporator/condenser unit, from said final evaporator/condenser unit to said heat exchange means, from said heat exchange means sequentially through said evaporator stages of said evaporator/condenser units, from said final evaporator/condenser unit to said first evaporator/condenser unit, and from said first evaporator/condenser unit to said system water outlet.
It is a further object of this invention to disclose the HDH water purification system as defined in any of the above, wherein said each of condenser stages comprises: (a) a conduit 3010 for conducting air; (b) at least one condenser water duct 3020 disposed along at least one side of said conduit; (c) a thin barrier 3030 between said conduit and said condenser water duct, said thin barrier configured to prevent physical contact but to allow thermal contact between air in said conduit and water in said condenser water duct; and, (d) an insulating layer 3040 disposed on a side of said condenser water duct away from said conduit, thereby creating along with said thin barrier a duct through which water can flow.
It is a further object of this invention to disclose the HDH water purification system as defined in any of the above, wherein said heat exchange means comprises at least one solar collector configured to utilize solar radiation impinging thereon to heat a fluid.
It is a further object of this invention to disclose the HDH water purification system as defined in any of the above, wherein said evaporator/condenser units are configured in a stack beneath said heat exchange means.
It is a further object of this invention to disclose the HDH water purification system as defined in any of the above, wherein said conduits are oriented at an angle relative to a surface upon which said system is resting such that condensed water vapor flows through said conduits under the force of gravity.
It is a further object of this invention to disclose the HDH water purification system as defined in any of the above, wherein said air circulation subsystem is a closed-loop system.
It is a further object of this invention to disclose the HDH water purification system as defined in any of the above, wherein at least one stage selected from the group consisting of said evaporator stages and said condenser stages is configured so as to conduct air and water through said at least one stage in a serpentine path.
It is a further object of this invention to disclose the HDH water purification system as defined in any of the above, wherein except for said blower, said system is constructed of plastic.
It is a further object of this invention to disclose the HDH water purification system as defined in any of the above, wherein said system is a standalone unit that is configured to operate remote from a source of contaminated water.
It is a further object of this invention to disclose a method for purifying contaminated water, comprising: (a) flowing contaminated water through a plurality of condenser stages to a heat exchange means configured to transfer heat to a fluid in thermal contact with said heat exchange means; (b) flowing said contaminated water through said heat exchange means; (c) flowing said contaminated water from said heat exchange means through a plurality of evaporator stages; (d) flowing air through said evaporator stages in a direction opposite to the flow of said contaminated water; (e) entraining water vapor evaporated by said contaminated water in said evaporator stages in said air, thereby creating humidified air; (f) flowing said humidified air through said condenser stages via enclosed conduits passing therethrough in a direction opposite to the flow of contaminated water therethrough, thereby cooling said air, condensing at least a part of said water vapor entrained therein as purified liquid water, and creating dehumidified air; and, (g) collecting said purified liquid water.
It is a further object of this invention to disclose a method as defined above, wherein: (a) said step of flowing contaminated water through a plurality of condenser stages to a heat exchange means comprises flowing contaminated water through a plurality of condenser stages to a solar collector; (b) said step of flowing said contaminated water through said heat exchange means comprises flowing said contaminated water through said solar collector; and, (c) said step of flowing said contaminated water from said heat exchange means through a plurality of evaporator stages comprises flowing said contaminated water from said solar collector through a plurality of evaporator stages.
It is a further object of this invention to disclose a method as defined in any of the above, further comprising orienting said conduits at an angle relative to a surface upon which said system is resting such that said purified liquid water flows through said conduits under the force of gravity.
It is a further object of this invention to disclose a method as defined in any of the above, further comprising configuring said evaporator/condenser units in a stack beneath said heat exchange means.
It is a further object of this invention to disclose a method as defined in any of the above, wherein said step of flowing contaminated water through a plurality of condenser stages to a heat exchange means configured to transfer heat to a fluid in thermal contact with said heat exchange means comprises flowing said contaminated water through a condenser stage comprising: (a) at least one condenser water duct 3020 disposed along at least one side of said conduit; (b) a thin barrier 3030 between said conduit and said condenser water duct, said thin barrier configured to prevent physical contact but to allow thermal contact between air in said conduit and water in said condenser water duct; and, (c) an insulating layer 3040 disposed on a side of said condenser water duct away from said conduit, thereby creating along with said thin barrier a duct through which water can flow.
It is a further object of this invention to disclose a method as defined in any of the above, further comprising orienting said stacked evaporator/condenser units at an angle relative to a surface upon which said system is resting such that condensed water vapor flows through said conduits under the force of gravity.
It is a further object of this invention to disclose a method as defined in any of the above, further comprising recirculating at least part of said dehumidified air through said evaporator stages.
It is a further object of this invention to disclose a method as defined in any of the above, further comprising configuring at least one stage selected from the group consisting of said evaporator stages and said condenser stages such that flow through said stage will follow a serpentine path.
It is a further object of this invention to disclose a method as defined in any of the above, wherein all steps of said method are performed remote from a source of contaminated water.
It is a further object of this invention to disclose a method as defined in any of the above, further comprising providing evaporator/condenser units characterized by an evaporator stage, a condenser stage, and a divider disposed between said evaporator stage and said condenser stage.
It is a further object of this invention to disclose such a method as defined in any of the above, performed on the system as defined in any of the above.
The invention will now be described with reference to the drawings, wherein:
In the following description, various aspects of the invention will be described. For the purposes of explanation, specific details are set forth in order to provide a thorough understanding of the invention. It will be apparent to one skilled in the art that there are other embodiments of the invention that differ in details without affecting the essential nature thereof. Therefore the invention is not limited by that which is illustrated in the figure and described in the specification, but only as indicated in the accompanying claims, with the proper scope determined only by the broadest interpretation of said claims.
As used herein, the term “contaminated water” is used to describe impure water that is susceptible to purification, particularly water that is not potable. Non-limiting examples of types of water that are included within the term thus include sea water, salt water, brine, brackish water, grey water, and black water.
As used herein, with reference to numerical quantities, the term “about” refers to a range of values ±20% of the nominal quantity.
As used herein, with reference to the location relative to a source of contaminated water the term “remote” refers to any location other than physically within or upon a body of contaminated water used as the source of water to be purified.
The instant invention provides an energy-efficient (in preferred embodiments, solar power based) humidification-dehumidification (HDH) method and system for purifying water.
The method comprises an air cycle and a water cycle. In the air cycle, air flows through a series of evaporation stages in which it encounters contaminated water flowing in the opposite direction, thereby entraining water vapor created by evaporation from the flowing water. The humid air then flows through a series of condensation stages each of which comprises a closed conduit surrounded by water that is colder than the humid air. The air dissipates heat to the colder water flowing around it, cooling it below its dew point and causing entrained water vapor to condense out as purified liquid water. In preferred embodiments of the invention, the dehumidified air is recirculated into the system. Typical air flow rates are on the order of 1 m/s; in preferred embodiments of the method, the air flow is directed and controlled by a fan or blower.
The water cycle takes place in tandem with the air cycle. In the water cycle, contaminated water, in preferred embodiments initially at ambient temperature, flows through the condensation stages in the direction opposite to the flow of humid air. The contaminated water absorbs heat from the air. The warm contaminated water that exits the final condensation stage flows through a solar water heater (solar collector), where is further heated. The contaminated water exiting the solar heater is thus at the maximum temperature in the system; in typical embodiments, it is heated to about 60° C. The contaminated water then flows back through the series of evaporator stages, where it heats up the air contacting it and flowing in the opposite direction, and humidifies the air which, as described above, entrains water vapor created by evaporation of water from the contaminated water flow. After passing through the final evaporator stage, the water is discharged from the system.
Reference is now made to
The water flow subsystem comprises a system water inlet 600 through which contaminated water enters the system; a system outlet 500 through which contaminated water exits the system after a portion thereof has been extracted and purified; a plurality of evaporator/condenser units (in the embodiment shown, it comprises four evaporator/condenser units: a first evaporator/condenser unit 100, two intermediate evaporator/condenser units 110aand 110b, and a final evaporator/condenser unit 120); and a solar collector 200 that utilizes solar radiation impinging thereon to heat a fluid. Each evaporator/condenser units is separately enclosed and is divided into an evaporator stage 1020 and a condenser stage 1010, with a divider 1030 separating them. In preferred embodiments of the invention, within each evaporator/condenser unit, the evaporator stage lies above the condenser stage. In preferred embodiments of the invention, the condenser stages are filled with contaminated water when the system is in used, while the evaporator stages are constructed such that a layer of water flows through them, the surface of which is in contact with air above the water flow.
The water flow subsystem is constructed such that when it is connected to a source of contaminated water, the contaminated water enters the system by passing via system water inlet 600 into the condenser stage 1010 of the first evaporator/condenser unit. The water exits this first condenser stage and then passes into the next condenser stage downstream, and so on, until it exits the final condenser stage. The outlet of a condenser stage may be connected to the inlet of the next downstream condenser stage by any means known in the art, either directly or via tubing (e.g. plastic tubing) rated for the maximum system pressure. The outlet of the condenser stage of the final evaporator/condenser unit is connected to an inlet of heat exchanger 200 that heats the water flowing therethrough. The heat exchanger may be of any appropriate type known in the art, and may use as a source of heat any heat source sufficient to heat the water to the desired temperature (typically about 60° C.). A non-limiting example of such a heat source is residual heat from waste hot water.
In preferred embodiments of the invention, the heat exchanger is a solar collector that transfers heat from solar radiation to a fluid in thermal contact with the solar collector. Any standard solar collector known in the art and appropriate for the instant invention may be used. In preferred embodiments of the invention, the solar collector comprises a transparent upper layer 2010, a layer of light absorbing material (in preferred embodiments, the material is black so as to absorb the maximum possible amount of sunlight) 2020, and a lower layer 2030 through which the water passes. In preferred embodiments of the invention, the solar collector has an area of about 1.7 m2 (preferably having a square profile with a side of length 1.3 m2).
The water flow outlet of the solar collector is connected (either directly or by tubing, preferably plastic tubing rated for use with drinking water) to the inlet of the evaporator stage of the final evaporator/condenser unit (i.e., the same stage from which contaminated water enters the solar collector). The water exits this final evaporator stage and then passes into the next evaporator stage downstream, and so on, until it exits the system via outlet of the evaporator stage of the first evaporator/condenser unit through system water outlet 500.
In preferred embodiments of the invention, the water flow subsystem is connected to pumping means that direct and control the rate of flow of water through the system.
The air circulation subsystem provides a flow of air opposite in direction to the flow of water through the water flow subsystem. Preferably, a blower 300 is used to direct and control the flow of air. In preferred embodiments of the invention, the air circulation system is constructed such that the air flows therethrough at a rate of about 1 m/s.
In the air circulation subsystem, air flows sequentially through the evaporator stages of the evaporator/condenser units from the first evaporator/condenser unit to the last. The air, flowing in the direction opposite to the flow of water through the evaporator/condenser units, becomes humidified as water evaporates from the water flow and the vapor is entrained in the flow of air. After exiting the evaporation stage of the final evaporator/condenser unit, the air flow passes into a conduit 3000 that passes through the condenser stage of the final evaporator/condenser unit. The conduit is in thermal contact with the water that is in the condenser stage, but is physically isolated therefrom and is impermeable to water such that none of the contaminated water can enter the conduit. The air flow then passes sequentially through the condenser stages (passing through a conduit in each case). As the humidified air cools, water vapor condenses to produce purified liquid water. The purified water is collected by collection means 400 connected to the downstream end of the conduit passing through the condenser stage of the first evaporator/condenser unit.
In preferred embodiments of the invention, the air circulation subsystem is a closed-loop system, and the air exiting the condenser stage of the first evaporator/condenser unit is thus returned to the evaporator stage of the first evaporator/condenser unit.
Reference is now made to
Reference is now made to
The condenser unit shown in the cross-sectional view of
Reference is now made to
In preferred embodiments of the invention, the evaporator stages are designed analogously such that the water and air flow in a serpentine path. In the most preferred embodiments, a serpentine pathway is created by a series of opposed baffles that force the flow along a serpentine path. Reference is now made to
In preferred embodiments of the invention, the evaporator/condenser units are stacked one above the other below the solar collector, with the first stage and system water inlet and outlet as defined above at the bottom. In preferred embodiments of the invention, the conduits are oriented at an angle relative to the surface upon which the system rests such that the purified liquid water flows under the force of gravity from the final evaporator/condenser unit to the first one. In the most preferred embodiments of the invention, the evaporator/condenser units themselves are oriented at an angle relative to the surface upon which the system rests such that the purified liquid water flows under the force of gravity from the final evaporator/condenser unit to the first one. Reference is now made to
In preferred embodiments of the invention, the entire system except for the blower is made of non-metallic materials, preferably plastics. As non-limiting examples of structural materials that can be used, the structural members can be made of rigid polyethylene or polystyrene foam; the dividers from 0.15 mm thickness low-density polyethylene foam; and the upper and heat-absorbing layers of the solar collector from 0.25 mm thickness low-density polyethylene. When the system is constructed from plastics, a system having a 1.7 m2 area, 4 evaporator/condenser units, and 1 solar collector will have a total net weight of less than 11 kg.
Thus, in contrast to systems known in the art, which are large and unwieldy and must sit on the body of contaminated water from which they draw water to be purified, the instant invention is fully modular and completely portable and can be used remote from the source of contaminated water, for example, the system can be located, and the method performed, on land as easily as directly on a body of water. Moreover, operation of device and method disclosed herein is independent of the input water supply pressure, since the external water supply is only used to refill the condenser stages. The device is hydrostatically stable, and experiences no pressure greater than that caused by the water level itself (ca. 0.1 bar). Additional advantages of the instant invention will be clear to one of ordinary skill in the art.
The following non-limiting thermodynamic analysis is presented in order to illustrate some important design considerations for putting the invention disclosed herein into practice.
With regard to the condensation stages, the First Law of Thermodynamics (eq 1) must hold true:
{dot over (Q)}={dot over (W)}+Σ{dot over (m)}
e
h
e
−Σ{dot over (m)}
i
h
i (1)
where {dot over (Q)} is the heat loss rate, {dot over (W)} is external work done on the system, Σ{dot over (m)}ihi is the sum of products of all inlet mass flow rates by each flow's enthalpy into the system, and Σ{dot over (m)}ehe is sum of products of all outlet mass flow rates by each flow's enthalpy out of the system. Since no external work is being done on the system, and assuming that heat loss to the environment is negligible, {dot over (Q)}={dot over (W)}=0, and Σ{dot over (m)}ihi=Σ{dot over (m)}ehe. Eq 1 can thus be rewritten explicitly for the inventive system herein disclosed as eq 2,
{dot over (Q)}={dot over (m)}
w
c
p
T
w1
+{dot over (m)}
air
h
15
={dot over (m)}
w
c
p
T
w5
+{dot over (m)}
air
h
19
+{dot over (m)}
L
h
L (2)
where {dot over (m)}w is the flow rate of contaminated water, {dot over (m)}air is the flow rate of air, {dot over (m)}L is the flow rate of purified water, cp
{dot over (m)}
air(h15−h19)={dot over (m)}wcp
In addition, mass conservation requires that {dot over (m)}w1={dot over (m)}w5={dot over (m)}w; {dot over (m)}air15={dot over (m)}air19={dot over (m)}air; and {dot over (m)}v15={dot over (m)}v19+{dot over (m)}L, where {dot over (m)}v is the vapor mass flow rate.
Substituting the water vapor mass flow rate with the absolute specific humidity ω of the air, eq 3 can be rewritten as eq 4:
{dot over (m)}
L
={dot over (m)}
air(ω15−ω19) (4)
Heat loss from the air within the condenser is given by eq 5:
{dot over (Q)}air={dot over (m)}air(h15−h19) (5)
Humid air enthalpy is defined as the sum of dry air enthalpy and the relative water vapor enthalpy by its partial pressure fraction (eq 6):
h
air
=c
P
×T+ω×(hfg0+cP
where hfg0 is the latent heat of water.
The amount of heat added to the water within the condenser is given by eq 7:
{dot over (Q)}
w
={dot over (m)}
w
c
P
(T5−T1) (7)
Heat transfer in the condensation stage, which acts as a cross flow heat exchanger, is governed by the conduction equation (eq 8):
{dot over (Q)}=UAΔT (8)
where U is the overall heat transfer coefficient between water and air in the condenser, A is the contact surface area (which is a design parameter of the system), and ΔT is the mean temperature difference between the fluids.
U can be evaluated using condensation heat transfer analysis. Reference is now made to
The average heat transfer coefficient between the air and water is given in equation (9) (see J. P. Holman, Heat Transfer, McGraw-Hill 2001 Metric Edition, Chapter 9, which is incorporated herein by reference):
This equation is derived under the assumptions that the walls have negligible thermal resistance; the temperature differential between the wall and air is constant; the air velocity is low; and the condensate water layer flows slowly down the surface (“film condensation”).
Assuming a constant temperature differential between the air and the water and using the LMTD method, which is common for cross flow heat exchangers, the effective ΔT is the difference between the air and water temperatures at any point in the condenser, for example at the inlet.
Eqs 1-5 and 9 are the constitutive expressions for evaluating the performance and operating point for the condenser.
We can perform a similar analysis is for the evaporator stage.
Heat gained by air flow through the evaporator is given by eq (10):
{dot over (Q)}
air
={dot over (m)}
air(h15−h11) (10)
where the enthalpy of moist air is evaluated using eq 6 above.
Heat released from the water is given by eq 11:
{dot over (Q)}
w
={dot over (m)}
w
c
P
(T10−T6) (11)
where T6 is the temperature of the water at the entrance to the evaporator stage and T10 is the temperature at the exit from the evaporator stage.
Heat transfer between the water and air in the evaporator is governed by eq 12:
{dot over (Q)}=UA′ΔT (12)
where U is the overall heat transfer coefficient between water and air in the condenser, A′ is the contact surface area (which is a design parameter of the system), and ΔT is the mean temperature difference between the fluids.
U can be evaluated using empirical correlations from the literature. It should be noted that heat transfer here is combined of forced convection and evaporation, which yields a much higher overall heat transfer coefficient than forced convection alone.
Another important governing equation which relates to the evaporator describes the evaporation rate. Evaporation of water is driven mainly by the partial pressure difference between the vapor saturation pressure and actual water partial pressure in the surrounding air. If air flows over the surface of the water, the evaporation rate is also related to the air velocity.
The evaporation rate from an undisturbed water surface over which air flows in a closed channel is given by eq 13, an empirical correlation given in Raimundo, A. M.; Gaspar, A. R.; Virgilio, A.; Oliveira, M.; and Quintela, D. A., “Wind tunnel measurements and numerical simulations of water evaporation in forced convection airflow,” Int. J. Therm. Sci., 24 Jun. 2014, which is incorporated in its entirety by reference:
J
w=103×(1.05+10.32Va)(CB,w−CB,in) (13)
where Jw is the evaporation rate in kg/m2·h; Va is the air velocity in m/s; CB,w is the water vapor mass fraction in the air at the air-water interface; and CB,in is the water vapor mass fraction in the at the inlet to the channel.
The surface area A in equation (8) must also satisfy the demand for an evaporation rate as defined by equation (2).
Equations (10) to (13) are the constitutive expressions for evaluating the performance and operating point for the evaporator.
The evaporator is designed as an open heat exchanger where counter-flows of air over water exchange mass and heat. Two heat transfer processes occur in the evaporator: heat transfer from the warm water to the colder air flow, and heat transfer to the water surface to enable evaporation.
Water to air heat transfer is important in order to ensure the air is heated to as high a temperature as possible as it leaves the evaporator, so that maximum condensation can occur in the condenser. A sufficiently high heat transfer coefficient between the water surface and air flow is essential for this purpose.
Heat transfer within the water must satisfy the thermodynamic conditions necessary to enable the desired mass transfer involved in evaporation, i.e. to heat the water surface. This heat transfer occurs via natural convection and eddy currents within the water flow.
Reference is now made to
The heat transfer coefficient between the air flow and water can be evaluated using standard correlations for flow in closed channels and tubes. For the case where the fluid is heated, one may use, for example, use the Dittus-Boelter correlation, eq 14:
Nu=0.023Re0.8Pr0.4 (14)
where Nu is the Nusselt number at the water-air boundary, Re is the flow Reynolds number and Pr is the air Prandtl number. The heat transfer coefficient can then be calculated from eq (15)
where k is the air thermal conductivity and DH is the channel's hydraulic diameter.
The correlation given in eq 14 was reported in the literature to have an accuracy of up to ±25%. The underlying assumptions are a that the flow is a fully developed turbulent flow in smooth tubes, the fluid Prandtl number is in the range 0.6 to 100, and that there is only a moderate temperature difference between the wall and fluid conditions.
An alternative correlation to be used with better reported accuracy is the Petukhov and Gnielinski correlation for fully developed turbulent and transition flow in tubes, eq 16,
where the pipe friction coefficient f is given by eq 17:
This correlation is valid for Pr>0.7 and Re>2300, and may be used for a constant wall temperature or constant wall heat flux with reasonable accuracy.
In applying the either of the above correlations it is assumed that the air viscosity remains constant along the path. This is a reasonable assumption for the air temperature range typically found in the instant invention. In addition, the correlations above were developed for a case where heat is transferred through the entire inner surface area of the pipe or duct. In our case, on the contrary, heat transfer occurs only between the water surface and air, i.e. only along one wall of the channel's internal surface, as illustrated in
D
H
=b/π (18)
where b is the width of the duct 750.
The main factor affecting the heat transfer coefficient is the air velocity. This effect is approximately linear. A velocity range of 0.5-3.0 m/s is desirable. Increasing air velocity has a negative effect, though, as it will increase pressure drops in the system and that in turn will require more powerful air blower or fan.
The required fan size and power consumption can be estimated by evaluating the pressure drop along the air cycle. Since the fan is expected to be the main electric power consumer in the method and system herein disclosed, optimizing the fan size will help to limit the costs involved in construction and use of a system for purifying water as disclosed herein.
It is assumed that the relative air pressure drop ΔP/P (and hence the relative air density Δρ/ρ) in the system is small and hence the fluid may be considered incompressible.
The major losses in a pipe or duct for a turbulent flow are can be estimated by using eq 19:
where f is the friction factor, evaluated from the Moody diagram, L is the pipe length, D is the pipe diameter and V is the average air velocity.
Minor losses in the piping system include bends, turns, valves, orifices etc. The main components in preferred embodiments of the system disclosed herein are 180° turns in each layer's serpentine path, as shown in
Eq 19 indicates that the system pressure drop is governed mainly by the air velocity or flow rate due to the exponential dependency on air velocity.
The solar heater can be analyzed separately. The heat transferred to the water within the solar heater, assuming a well-insulated system, is given by eq 20:
{dot over (Q)}
s
={dot over (m)}
w
c
P
(T6−T5) (20)
where T6 is the water temperature at the outlet of the solar heater and T5 is the water temperature at the inlet to the solar heater.
The constitutive equations given in the previous example can be used to predict the system performance, its sensitivity to parameter changes and the desirable design parameters. A trial and error calculation is required in order to find a working point that satisfies all equations.
The calculation is made using the following basic assumptions:
1. The solar power input to the solar heater is 1000W.
2. A uniform temperature differential exists across the condenser and evaporator between air and water. Reference is now made to
3. The system is well insulated with negligible heat losses to and from the environment.
4. Air and water channels having oblong cross sections with hydraulic diameters of 100 mm are used. This size is in fact quite convenient size for use in a practical system.
In the calculations performed in this example, the overall heat transfer coefficient in the condenser was taken to be 55 W/m2·K, based on preliminary calculations and measurements. The overall heat transfer coefficient in the evaporator was calculated to be U=80 W/m2·K.
The evaporation rate matches the demand for the amount of fresh water produced assuming an air velocity of at least 1.3 m/s, which in turn can be used to evaluate the pressure drop across the air path. This pressure drop is used to select an appropriate fan.
We start the calculation with an initial guess for the water inlet temperature to the solar heater and required water flow rate. We then calculate water temperature at the outlet of the solar heater. These parameters are then used to calculate the amount of heat transferred from the water to the air within the evaporator. Assuming certain air inlet properties and flow rate to the evaporator, the outlet air properties can be estimated. Once all air and water conditions are known, a calculation of the heat balance in the condenser is then performed. If balance is not achieved, the calculation is restarted with corrected values until convergence is achieved. In parallel, the evaporator surface area is checked against the desirable evaporation rate.
A typical solution for one embodiment of the invention is given in Tables 1 and 2 for the condenser and evaporator calculations, respectively.
Using the common definition of G.O.R (Gained Output Ratio), namely, kg of water produced per 2326 kJ of heat consumed, in this numeric example this gain value is calculated to be:
The fresh water output rate is 4.5 kg/h or 1.25×10−3 kg/s and the absorbed solar energy is 1000W.
This example shows that the proposed system structure, based on a reasonable size evaporator and condenser, and the expected solar power, can produce excellent performance.
The following non-limiting example is given to illustrate how one embodiment of the instant invention may be used in practice, and is intended to enable a person of ordinary skill to understand the principles of its operation.
The condenser stages cool down the moist air, thereby condensing water vapor as purified water and thereby extracting heat from the air flow. The contaminated water in the condenser stage is thereby heated. Because the condenser stage is in thermal contact with the evaporator stage of that stage, some of the heat will also be transferred to the evaporator stage, thereby increasing the rate of evaporation of contaminated water flowing therethrough.
The solar collector heats up contaminated water in the top layer prior to its flowing through the evaporator stages of the evaporator/condenser units. In typical embodiments of the invention, the solar collector adds on the order of 1 kW of energy to the system.
In the evaporator stages, the flowing water contacts the counter-flowing air. At least part of the flowing water evaporates, humidifying the air. The evaporation process cools the water and heats the air.
In a typical embodiment of the invention, contaminated water enters the first condenser stage at a temperature of ˜25° C. It is warmed in the first stage to ˜30° C., in the stage stage to ˜35° C., in the third stage to ˜45° C., and in the fourth stage to ˜55° C. The water exits the solar collector at a temperature of ˜60° C. As the water flows through the evaporation stages, it cools down, and exits the system at a temperature of ˜30° C. The air, flowing at about 1 m/s, is heated to ˜60° C. as it flows through the evaporator stages and then cools down to ˜30° C. as it flows through the condenser stages.
Under these conditions, a daily supply of 1600 liters of contaminated water will yield at least 36 liters/day of pure water.
