The present disclosure relates to cooling panels designed to use a heat transfer fluid in conjunction with condensers, such as condensers associated with air conditioners or refrigerators, and more particularly relates to panels that use a hybrid evaporative and radiative cooling approach to cool the heat transfer fluid.
The general purpose of the disclosed technology is to address the ever-increasing global cooling needs. Rising demand for cooling is driving up carbon emissions while putting enormous strain on electricity systems around the world. At the current pace, by 2050, the global cooling energy demand is projected to triple and account for about 37% of the end use of electricity demand growth in buildings. This is largely driven by economic and population growth in the hottest part of the world as global development is shifting south. To accommodate this trend and manage the associated carbon footprint presents a grand challenge that is exacerbated by the large share of cooling in peak electricity load. The peak demand requires additional capacity of electricity, which is costly to build and maintain. Further, in many places, the high cooling needs can last well beyond the hours when solar energy is available.
Space cooling, which was responsible for over 1 gigatonnes CO2 emissions and 8.5% of the electricity consumption in the world in 2019, is the fastest-growing end-use of energy in the building sector. Cooling efficiency improvement would be desirable to reduce the demand for installing new electricity generation and storage capacity, and lessen the peak load on power supply systems. With greater than 10% of the world's population still lacking regular access to electricity, passive cooling provides a particularly attractive pathway to addressing the global cooling needs with little electric power and carbon footprint, not only for human thermal comfort, but also to store and distribute food and pharmaceuticals.
Previous passive cooling solutions based on evaporation and radiation, while showing promise, face challenges associated with solar and environmental heating, large water expenditure, low cooling powers, and climate condition constraints. Evaporative cooling relies on the large enthalpy of vaporization to generate high cooling power, which has been used for condenser heat rejection, direct air cooling, and storage of perishable goods. Nevertheless, evaporative coolers consume a significant amount of water and can be severely heated due to solar absorption, reaching between 1020 C. to 20° C. above the ambient instead of subambient temperatures at stagnation. Although shading can reduce solar heating, it is challenging for large cooling areas and potentially restricts external air flow. Additionally, shading inevitably blocks radiative cooling, which leverages thermal radiation to transfer energy toward the cold outer space through the mid-infrared (mid-IR) transparent window of the atmosphere. Radiative cooling offers a net cooling power typically <120W/m2 at the ambient temperature. In practice, high performance radiative cooling (˜100 W/m2 cooling power or ˜10° C. stagnation temperature drop) has only been demonstrated in high altitude areas with low atmospheric density and low relative humidity (RH) or under indirect sunlight.
Further, the applicability of passive cooling to buildings depends on not only the cooling performance but also the integration strategy. Previously, direct cooling of air or building roofs was proposed, but could only provide minimal energy benefits due, at least in part, to the low subambient cooling performance and large thermal resistance of the building envelope. For pure radiative cooling, rooftop fluid panels have been designed to allow for integration at the condenser side of air-conditioning and refrigeration (ACR) systems, but the total energy savings are still limited by the low net cooling power. Because rooftop space is often desirable for passive cooling technologies, wide adoption would prefer the resulting electricity savings to be competitive with rooftop PV panels of the same area, which has not yet been shown. It would also be advantageous that such passive cooling provides improved cooling efficiency to the building as compared to pure radiative cooling panels.
Accordingly, there is a need for improved methods of passive cooling that are more efficient than existing ACR technology and the like.
This Summary introduces a selection of concepts in simplified form that are described further below in the Detailed Description. This Summary neither identifies key or essential features, nor limits the scope, of the claimed subject matter.
The present disclosure relates to potential solutions to the above-described shortcomings of passive cooling technology. In particular, such solutions include a hybrid evaporative-radiative cooling system that significantly outperforms previous passive cooling technologies and can enable energy savings higher than state-of-the-art photovoltaic (PV) panels occupying the same rooftop area. In at least one illustrative embodiment, the hybrid cooling structure comprises a solar reflector, a water-rich and IR-emitting evaporative layer, and a vapor-permeable, IR-transparent, and solar-reflecting insulation layer, with a cooling panel having a heat transfer fluid that passes through and/or across the cooling panel.
One embodiment of a cooling panel includes a reflector layer and an evaporative and infrared-emitting layer. The cooling panel is configured to be in fluid communication with a heat exchanger. Further, the cooling panel is configured to cool a heat transfer fluid by way of both evaporative cooling and radiative cooling. Still further, the cooling panel is also configured such that the heat transfer fluid passes at least one of through or across the cooling panel and flows to the heat exchanger.
The reflector layer can include a solar-reflecting material. The solar-reflecting material can include, by way of non-limiting examples: white paint, metallic film, a porous-polymeric layer, a metamaterial layer, and/or a multiplayer polymeric film. In some embodiments, the solar-reflecting material can be a 3M Enhanced Specular Reflector (ESR) film.
The evaporative and infrared-emitting layer can include a solar-transparent material. The solar-transparent material can include, by way of non-limiting examples, hydrogel and/or water. In some embodiments in which the solar-transparent material includes a hydrogel, the hydrogel can include a polyacrylamide hydrogel. The hydrogel can include, for example, free radical copolymerization of acrylamide and 2 acrylamido 2 methylpropan sulfonic acid. In at least some embodiments, the reflector layer and the evaporative and infrared-emitting layer can be formed as an integrated, single layer.
The heat transfer fluid that passes at least one of through or across the cooling panel can flow at least one of through or across the evaporative and infrared-emitting layer. The evaporative and infrared-emitting layer can include the heat transfer fluid. In at least some instances, the evaporative and infrared-emitting layer can be configured to receive the heat transfer fluid such that at least a portion of the heat transfer fluid is supplied from outside of the evaporative and infrared-mitting layer. In at least some embodiments, an entirety of the heat transfer fluid flowing through the cooling panel can flow through and/or across the evaporative and infrared-emitting layer. The evaporative and infrared-emitting layer can include at least one of water, a water film, and/or an infrared-emitting material flowing through it.
The cooling panel can also include a heat transfer fluid layer. In some such embodiments, the reflector layer can be disposed above the heat transfer fluid layer and the evaporative and infrared-emitting layer can be disposed above the reflector layer. The heat transfer fluid layer can be configured to be in fluid communication with the heat exchanger, and the cooling panel can be further configured to cool the heat transfer fluid that passes through and/or across the heat transfer fluid layer and flows to the heat exchanger.
In at least some embodiments that include a heat transfer fluid layer, the heat transfer fluid layer, the reflector layer, and the evaporative and infrared-emitting layer can be formed as an integrated, single layer. An integrated single layer can include any combination of a heat transfer fluid layer, a reflector layer, and/or an evaporative and infrared-emitting layer. Additionally, or alternatively, an entirety of the heat transfer fluid flowing through the cooling panel can flow at least through and/or across the heat transfer fluid. Alternatively, a first portion of the heat transfer fluid flowing through the cooling panel can flow through and/or across the evaporative and infrared-emitting layer and a second portion of the heat transfer fluid flowing through the cooling panel can flow through and/or across the heat transfer fluid layer.
The cooling panel can also include an insulation layer. The insulation layer can be disposed above the evaporative layer. In at least some embodiments, the insulation layer can include a vapor-permeable, infrared-transparent, and solar-reflecting material. By way of non-limiting example, the insulation layer can have total solar reflectance and total IR transmittance. In at least some embodiments in which the insulation layer includes a vapor-permeable, infrared-transparent, and solar-reflecting material, the material can include polyethylene aerogel, porous polyethylene, and/or polyethylene fabric. By way of non-limiting example, the insulation layer can include 08-052 gel, HiwowSport.
In at least some embodiments that include an insulation layer, the insulation layer and the evaporative and infrared-emitting layer can be formed as an integrated, single layer. In at least some embodiments that include an insulation layer, the insulation layer can have a thickness as measured from a top surface to a bottom surface of the insulation layer that is greater than a thickness of the evaporative and infrared-emitting layer as measured from a top surface to a bottom surface of the evaporative and infrared-emitting layer.
One embodiment of a method of cooling includes causing a heat transfer fluid to pass across and/or through a cooling panel and cooling the heat transfer fluid both by evaporative cooling and radiative cooling while the heat transfer fluid passes across and/or through the cooling panel. The method further includes directing the cooled heat transfer fluid to a condenser to at least one of: (a) desuperheat a material disposed in the condenser (e.g., refrigerant); (b) sub-cool the condenser; and/or (c) lower the temperature of the condenser.
The aforementioned method can include the cooling panel as described in any combination of the preceding paragraphs, or as otherwise provided for in the present disclosure. The action of causing a heat transfer fluid to pass across and/or through a cooling panel can further include operating a pump to circulate the heat transfer fluid between the cooling panel and the condenser.
The action of cooling the heat transfer fluid by evaporative cooling and radiative cooling can further include dissipating heat from the heat transfer fluid by thermal radiation, and dissipating heat from the heat transfer fluid by water evaporation.
The method can further include carrying out the cooling the heat transfer fluid both
by evaporative cooling and radiative cooling while the heat transfer fluid passes across and/or through the cooling panel via the evaporative and infrared-emitting layer and the reflector layer of the cooling panel. In at least some such embodiments, the cooling of the heat transfer fluid both by evaporative cooling and radiative cooling can include emitting thermal radiation from the evaporative and infrared-emitting layer. Additionally, or alternatively, the method can further include carrying out the cooling the heat transfer fluid both by evaporative cooling and radiative cooling while the heat transfer fluid passes across and/or through the cooling panel via the insulation layer. In at least some such embodiments, the cooling of the heat transfer fluid both by evaporative cooling and radiative cooling can further include reflecting solar energy off of the insulation layer. The cooling of the heat transfer fluid both by evaporative cooling and radiative cooling can also include allowing at least some of the emitted thermal radiation from the evaporative and infrared-emitting layer and the evaporated fluid from the evaporative and infrared-emitting layer to pass through the insulation layer.
The condenser can be at least one of part of an air conditioner, part of a refrigerator, disposed on a building, and/or disposed in a field. In at least some embodiments, an entirety of the heat transfer fluid to be cooled can be provided to the cooling panel by the condenser. A first portion of the heat transfer fluid to be cooled can be provided to the cooling panel by the condenser and at second portion of the heat transfer fluid to be cooled can be provided to the cooling panel by a second fluid source that is different than the condenser.
A heat exchanger of the condenser can be part of a free cooling cycle in which the heat exchanger is in fluid communication with hot air from a building. The hot air from the building can be directed on top of a conduit and/or a coil through which the cooled heat transfer fluid flows, for example a heat exchanger disposed between the heat transfer fluid and the air. Alternatively, or additionally, the hot air from the building can be directed to a secondary heat transfer fluid that is in fluid communication with the cooled heat transfer fluid.
The action of directing the cooled heat transfer fluid to a condenser can be done by a heat exchanger. In at least some embodiments, the method can include recirculating the heat transfer fluid into the cooling panel after having passed through the condenser. The method can also include outputting a first portion of the heat transfer fluid to the condenser from the heat exchanger and outputting a second portion of the heat transfer fluid to the cooling panel from the heat exchanger. In at least some embodiments, the method can also include directing the heat transfer fluid to the condenser after the heat transfer fluid has been directed to a heat exchanger after having passed at least across and/or through the cooling panel. Directing can occur, for example, by way of one or more pumps.
The following Detailed Description references the accompanying drawings which form a part this application, and which show, by way of illustration, specific example implementations, in which:
Certain exemplary embodiments will now be described to provide an overall understanding of the principles of the structure, function, manufacture, and use of the devices and methods disclosed herein. One or more examples of these embodiments are illustrated in the accompanying drawings. Those skilled in the art will understand that the devices and methods specifically described herein and illustrated in the accompanying drawings are non-limiting exemplary embodiments and that the scope of the present disclosure is defined solely by the claims. The features illustrated or described in connection with one exemplary embodiment may be combined with the features of other embodiments. Such modifications and variations are intended to be included within the scope of the present disclosure. Further, the present disclosure provides some illustrations and descriptions that include prototypes, bench models, experimental setups, and/or schematic illustrations of setups. A person skilled in the art will recognize how to rely upon the present disclosure to integrate the techniques, systems, devices, and methods provided for herein into a product and/or a system provided to customers, such customers including but not limited to individuals in the public or a company that will utilize the same within manufacturing facilities or the like. To the extent features are described as being disposed on top of, below, next to, etc. such descriptions are typically provided for convenience of description, and a person skilled in the art will recognize that, unless stated or understood otherwise, other locations and positions are possible without departing from the spirit of the present disclosure.
Approximating language, as used herein throughout the specification and claims, may be applied to modify any quantitative representation that could permissibly vary without resulting in a change in the basic function to which it is related. Accordingly, a value modified by a term or terms, such as “about”, and “substantially” is not to be limited to the precise value specified. In some instances, the approximating language may correspond to the precision of an instrument for measuring the value. In some instances, “approximately” may be equal to +/−2% of the indicated value.
Unless otherwise defined, all technical terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure belongs.
Additionally, like-numbered components across embodiments generally have similar features unless otherwise stated or a person skilled in the art would appreciate differences based on the present disclosure and his/her knowledge. Accordingly, aspects and features of every embodiment may not be described with respect to each embodiment, but those aspects and features are applicable to the various embodiments unless statements or understandings are to the contrary.
The present disclosure provides for a hybrid evaporative and radiative cooling panel (“ERCP”) system 10, illustrated in
As shown in
One exemplary embodiment of the ERCP system 10 according to the present disclosure is illustrated in greater detail in
In at least one non-limiting example, the layers of the cooling panel stack 12 may be arranged, from bottommost to topmost layer, the fluid heat exchange panel 16 on the bottom, a solar reflecting layer 24 above the fluid heat exchange panel 16, the evaporative layer 28 above the solar reflecting layer 24, and the insulation layer 32 above the evaporative layer 28 and covering, or at least substantially covering (e.g., at least about 80%, although other coverage below and above 80% are possible) the evaporative layer 28. The insulation layer 32 can reduce the environmental heating when the ERCP system 10 is below the ambient temperature and water consumption while increasing the solar reflectance of the entire ERCP system 10. In some embodiments, the solar reflecting layer 24 can also include evaporative and infrared-emitting properties and serve as an additional evaporative layer and/or an evaporative, infrared-emitting layer.
In some embodiments, the panel stack 12 may be arranged on a support frame 14, as shown in
The fluid heat exchange panel 16 is configured to facilitate the flow of a heat transfer fluid 17 through the ERCP system 10, as shown in
In some embodiments, the heat transfer fluid 17 is not entirely provided by the condenser 94. For example, the condenser 94 can function as a heat exchanger for refrigerant with the ambient environment. The heat transfer fluid 17 can interact with the refrigerant, for example within the heat exchanger 40, and can decrease the refrigerant temperature inside a refrigerant loop, as described in greater detail below. In some embodiments, the heat exchanger 40 can act as a condenser, that is, by providing the necessary heat sink for the refrigerant to condense). Condensation can release heat and the release heat can be taken away by the heat transfer fluid 17. This can be the case, for instance, where the condensation temperature of the refrigerant is lowered (see 2-3 to 2′-3′ as shown in
In some embodiments, a similar ERCP system 10′ may be arranged as shown in
A person skilled in the art will understand that the various layers of the cooling panel stacks 12 described herein (e.g., stacks 12, 12′, 12″, 212, 312) can each be configured to perform multiple functions and need not be physically separate from each other. This allows for the elimination of unused layers, such as the removal of the fluid heat exchange panel 16′ in the embodiment described above. For example, as also described with reference to
In some embodiments, a similar ERCP system 10″ may be arranged as shown in
As shown in
The use of a portion of the evaporative layer 28 as at least part of the heat transfer fluid 17 can be done in lieu of or in addition to introducing heat transfer fluid 17 from outside of the cooling panel stack 12, such as, for example, from the air conditioning unit 94. Fluid 17 introduced from outside of the cooling panel stack 12 can be delivered and then directed out of the stack 12 using any techniques or materials known to those skilled in the art, including one or more conduits 18, 20. In some embodiments, hotter fluid 17 may enter through a first conduit 18 on an inlet end of the panel stack 12, and a second conduit 20 can direct cooled fluid 17 out of an output end of the panel stack 12, as shown in
Illustratively, during continuous operation of the cooling panel stack 12, the evaporating fluid (e.g., water) within the evaporative layer 28 can be replenished by capillary pumping from the bottom or sides of the panels (such as when using porous materials, including but not limited to hydrogels), or by having a continuous water film flowing as part of the evaporative layer 28 using a pump and/or gravitational force, or through a combination of capillary action and active pumping. By way of non-limiting example,
In some exemplary embodiments, the ERCP system 10 may be configured to be connected to an expansion valve 95 downstream of the heat exchanger 40, which may be considered a component of the condenser 94 or of the ERCP system 10 itself. The heat exchanger 40 can be arranged, for instance, between the compressor 97 and the condenser 94, or between compression stages of the compressor 97. The ERCP system 10 can further include an evaporator 96 downstream of the expansion valve 95, and a compressor 97 downstream of the evaporator 96, the compressor 97 being fluidically connected to the condenser 94 (for example, the air conditioning unit 94). In some embodiments, refrigerant can flow through the refrigerant loop (e.g., condenser 94 to heat exchanger 40, to the expansion valve 95, to the evaporator 96, to the compressor 97, and back to the condenser 94) and be cooled in the heat exchanger 40 via the cooled heat transfer fluid 17. A person skilled in the art will understand a variety of other configurations that are possible in view of the present disclosures, for example, the heat exchanger 40 can be arranged along the refrigerant loop between any of the components 94, 95, 96, 97.
In some embodiments, the system shown in
The advantage of using the hybrid cooling panel stack 12 at the condenser side can be better understood by looking at the pressure-enthalpy diagram of a refrigeration cycle, as shown in
In some embodiments, the solar reflecting layer 24 can include, but is not limited to,
white paint, metallic film, a porous polymeric layer, a metamaterial layer, multilayer polymeric film, or the like. The evaporative layer 28 can include, but is not limited to, polyacrylamide hydrogel (PAH), a thin film of water, or the like. In some embodiments, the evaporative layer 28 is porous. The insulation layer 32 can include, but is not limited to, polyethylene aerogel (PEA), porous polyethylene, polyethylene fabric, or the like. In some embodiments, the evaporative layer 28 is porous. One or more of the layers 16, 24, 28, 32 of the ERCP 10 as provided for herein can be combined into a single, integrated layer. For example, a single, integrated layer can include a solar reflecting layer 24 and a water layer and an infrared-emitting layer, defining an evaporative layer 28, combined into a single layer. Provided the desired properties can be maintained, the layers 16, 24, 28, 32 can be configured in manners that can be mixed and matched as would be understood and determinable by a person skilled in the art in view of the present disclosures.
A person skilled in the art will also understand that the hybrid cooling panel stacks provided for herein, including those of the ERCP system 10, the ERCP system 10′, the ERCP system 10″, the ERCP system 210, and the ERCP system 310, or otherwise derivable from the present disclosures, do not need to be on the rooftop of a building. In some embodiments, the panel stacks can be located in any suitable outdoor location and facing the sky in at least some fashion. For example, the panel stacks can be oriented horizonatally, at an angle, or vertically. In some embodiments, the panel stacks can be oriented so as to slightly tilt away from the southern direction when in the Northern hemisphere (i.e., sunlight facing side), so as to aid in minimizing solar heating, and in the opposite manner when in the Southern hemisphere. The panel stacks can also be tilted slightly towards the sunlight in some embodiments. Moreover, the panel stacks can also be utilized in partial sunlight, including obstructed and shaded scenarios. Non-limiting examples of where they may be located when they are outside include a parking lot, on a field, on the walls of a building, etc. Moreover, it is noted that, although the remaining descriptions of the ERCP systems 10, 210, 310 may not directly reference the configurations of systems 10′, 10″, a person skilled in the art will appreciate that the descriptions of the systems 10, 210, 310 and their associated functionality and advantages are typically applicable to the other configurations of systems 10′, 10″.
Initial lab-scale outdoor cooling performance was demonstrated with a proof-of-concept hybrid evaporative-radiative cooler panel stacks 112, 112′ illustrated by the experimental setup shown in
The Following Evaporative And Insulation Layers 28, 32, Sometimes referred to as an evaporation-insulation bilayer, are exemplary and may be utilized in a variety of cooling scenarios. For example, the evaporative and insulation layers 28, 32 described in this section produced unexpectedly superior cooling performance in an indoor setting as opposed to other settings. This cooling set-up can be different than the ERCP system described above. In at least some exemplary embodiments, the insulation layer 32 can be comprised of aerogel and the evaporative layer 28 can be comprised of hydrogel. By way of a non-limiting example, the aerogel of the insulation layer 32 can include synthesized hydrophobic silica aerogels with approximately 95% porosity and approximately half the thermal conductivity of air. Also by way of a non-limiting example, the hydrogel of the evaporative layer 28 can be prepared by free radical copolymerization of acrylamide and 2 acrylamido 2 methylpropan sulfonic acid. The non-limiting examples of the aerogel and hydrogel are illustrated in
To understand the working principle of the bilayer structure, both heat and mass transfer in the system are considered. In
In contrast, the temperature difference between the ambient and the hydrogel generates an inward heat flow. The overall thermal resistance in the system comprises the external thermal resistance 1/hext and the thermal resistance across the aerogel taero/kaero, where hext is the effective heat transfer coefficient accounting for both convection and radiation, and kaero is the effective thermal conductivity of the aerogel. Combining these two resistances, the heat flux across the system q then follows Equation (2):
where Tamb is the ambient temperature.
Daero was characterized using the wet cup method following ASTM E96, and kaero was measured based on the guarded hot plate method following ASTM C1044 16. It is noted that kaero represents the effective thermal conductivity, which incorporates heat conduction, convection, and radiation within the aerogel, i.e., the insulation layer 32. Accordingly, Daero=0.039±0.03 cm2Is and kaero=13±2 mW/m K. Meanwhile, gext and hext are related to sample geometries and working conditions, which have also been calibrated. Energy balance can be quantified by Equation (3):
In this equation, hfg is the enthalpy of vaporization of water in the hydrogel, or the evaporative layer 28. Equations (1), (2), and (3) have three unknowns: Ts, q, and j, from which the temperature drop of the hydrogel can be determined from the ambient ΔT, Tamb, Ts. Also, the effective cooling time tc can be determined from mass conservation, given a certain hydrogel thickness th (Equation 4):
In this equation, ρn and ω are the density and the water mass fraction of the hydrated hydrogel, respectively. ΔT and τc are the two important performance metrics of the cooling system. In
A person skilled in the art will appreciate that the temperature variation in the hydrogel evaporative layer 28 is neglected, as the thermal conductivity of the hydrogel evaporative layer 28 is much larger than kaero. Consequently, ΔT is not sensitive to th, and tc is simply proportional to In based on Equation 4. The thermal contact resistance between the hydrogel and the aero gel has also been neglected since this thermal resistance is much smaller than that of the aerogel insulation layer 32.
To validate the above model framework, an experimental study was conducted in which a proof-of-concept experimental setup was built, as shown in
During the experiments, first, the top surface was covered to prevent evaporation and allowed the sample to equilibrate with the environment. Then, the top cover was removed and the temperature response of the sample with thermocouples was monitored. In this manner, the temperature regulation is not aided by the thermal capacity of the test fixture. The accuracy of the ΔT measurement is +/−0.2° C. and the error for RH is +/−2%. Typical cooling curves as a function of time τ are shown in
Prior to the experiment, the water mass fraction of the hydrated hydrogel was about 98% as determined by thermogravimetric analysis. After drying the hydrogel evaporative layer 28, the mass loss data indicated that about 97% of the original water mass evaporated after one cooling cycle. During the cooling time, the average mass flux leaving the sample was about 0.10 kg/m2 h for Sample 1, which is equivalent to an evaporation cooling flux of about 69 W/m2. For Sample 2, the average mass flux was about 0.034 kg/m2 h, which corresponds to an evaporation cooling flux of about 23 W/m2. Indeed, the evaporation rate is lower for the design having the hydrogel evaporative layer 28 and the aerogel insulation layer 32.
A so called “temperature burden” is defined as the area under the ambient temperature curve for the two samples (A1 and A2). If Sample 2 lasted longer merely because evaporation was slower, it would be expected that A1 is approximately equal to A2. However, the values obtained with the combined hydrogel evaporative layer 28 and the aerogel insulation layer 32 were A1=about 471.5° C./h and A2=about 1183.7° C./h, indicating that the insulation layer 32 did more than just redistribute the evaporative cooling capacity. From
Good agreement is found between the experimental data and the model. Notably, under the reference working conditions, when taero=5 mm, combined hydrogel evaporative layer 28 and the aerogel insulation layer 32 can extend τc by about 400%, while only sacrificing the temperature drop by about 1.5° C. compared with the conventional single layer design. In some embodiments, given a ΔT requirement, the aerogel insulation layer 32 thickness can be optimized such that it is thin enough to reach a low enough temperature, while being as thick as possible to extend the cooling time. In some embodiments, in particular in which the aerogel includes pores, the size of the pores can affect the efficiency of the cooling panel stack 12. In some embodiments, the size of the pores can be adjusted to increase or decrease the efficiency of the cooling panel stack 12.
With the validated heat and mass transfer model, the effect of environmental conditions can be investigated. As shown in
To gain more insights into this cooling design, consideration is given to the case where taero/Daero>>1/gext and taero/kaero>>1/hext. Then, dividing Equation (2) by Equation (1), the following Equation (5) is obtained:
The right side of Equation (5), where hfg is located, is a monotonically increasing function of ΔT, while the left side, where ΔT is located, is independent of taero. This is why ΔT varies little for larger taero in the data shown in
For the insulation layer to function properly, ftot/kaero is usually set to be much larger than 1/hext (in this reference case, ttot/kaero 6.1/hext). As taero tot is restricted, the right side of Equation (6) becomes a quadratic function of taero and takes the maximum near taero ttot/2, noting that ΔT is not sensitive to taero around ttot/2. In
Notably, camel fur excels in the vapor diffusivity to thermal conductivity ratio and provides significant thermal resistivity at the same time. This is important to survival in deserts for camels. A large II2 allows the camel to maintain reasonable body temperatures under hot climates, while a high II1 helps reduce the water expenditure for sweating. After a camel had been closely sheared, the water loss became approximately 50% more compared with a camel with a natural wooly coat. In
For thermal management of buildings, GW and RW can be readily integrated onto previously developed evaporation-based rooftop cooling systems to form bilayer cooling structures, as will be discussed in greater detail below. Their high II1 ensures a large ΔT, while the cooling time extension can be adjusted by increasing the insulation layer 32 thickness, which is less restricted in building applications. For example, the model suggested that adding 20 mm GW to an existing layer could increase τc by 500% under the reference working conditions.
For packaging applications, recharging of hydrogels can be done offline (not necessarily with clean water) when the cooling structure is near dry out. In the case of rooftop cooling of buildings, recharging of hydrogels with rainwater to continuous operation is possible. For the presently disclosed configuration, to apply a similar reloading strategy, additional capillary wicks can be utilized to route the rainwater to the hydrogel evaporative layer 28 underneath the aerogel insulation layer 32. Also, in outdoor applications, solar radiation to the sample and thermal radiation to the sky can play an important role.
A study was performed on an exemplary embodiment of the ERCP system 10 described above. The cooling tests of the study were performed under unfavorable climate conditions: high atmospheric density and high RH. With scalable materials, stagnation temperatures colder than the wet-bulb temperature (which are not accessible with pure evaporative cooling) were achieved, at about 9.3° C. below the ambient under direct sunlight (solar radiation Qsun=836 W/m2), while the water loss was significantly reduced as the presently disclosed ERCP system 10 properly managed the solar and parasitic heating. Further demonstrated by the study was a net ambient cooling power of about 143 W/m2 at RH=about 44.0% around solar noon (Qsun=772 W/m2) as well as about 202 W/m2 at RH=about 70.2% during the night time. Based on the experimentally validated model, the ERCP system 10 with a practical material set can offer higher cooling powers than even ideal radiative coolers. The study further evaluated the annual cooling electricity savings in buildings. As verified by the study, even in hot and humid climates, the hybrid cooling architecture can cut cooling electricity usage in supermarkets by 9% using only 4% of the rooftop area with small water expenditure, exceeding the energy savings enabled by premium solar panels of the same area.
To elucidate the working principle of the design, the thermal/solar radiation and heat conduction across the cooling architecture are considered, as well as the vapor diffusion through the insulation layer 32. Additionally, the heat and mass convection at the air/insulation layer 32 interface and the reflection and emission at the reflector 24 surface can be incorporated as boundary conditions. The energy balance in the system 10 can be controlled by Equation (7):
In this equation, x is the distance from the top surface of the insulation layer 32, qevap, qrad, and qcond are the energy fluxes associated with evaporation, radiation, and conduction, respectively. While qcond and qevap are governed by Fourier's law and Fick's law, respectively, Grad is determined from the radiative transfer equation (RTE). The RTE accounts for the radiation intensity attenuation due to absorption and out-scattering and the augmentation by emission and in-scattering as well as solar irradiation. More specifically, Equation (7) can be solved for by first discretizing the control volume into Z layers and then taking a linear temperature profile T(x) within the system as an initial guess based on the boundary conditions. The temperature profile can then be used within each layer to calculate the divergence of qevap, qrad, and qcond at the interfaces of each of the L layers, and iteratively update T(x) using a nonlinear solver in MATLAB until Equation (7) is satisfied. Details of the evaporative, radiative, and conductive energy fluxes, as well as cooling power and stagnation temperature calculation details, are given below.
The evaporative energy flux qevap can be driven by the vapor density difference between ρ0 at the evaporation/insulation interface and ρamb in the ambient air. Here, ρ0 corresponds to the saturation vapor density at the evaporation/insulation interface temperature T0 and ρamb is characterized by the ambient temperature Tamb and RH. The evaporative flow needs to overcome two transport resistances: the first being the mass diffusion resistance in the insulation layer 32 governed by Fick's law and the second being the mass convection resistance at the air/insulation layer 32 interface. Accounting for both resistances, Equation (8) of the evaporative flux jevap obtained:
In this equation, Lins is the insulation 32 thickness, Dins is the diffusion coefficient of water vapor in the insulation layer 32 (for PEA, it can be experimentally determined as per the wet cup method following ASTM E96), hm is the mass transfer coefficient at the air/insulation layer 32 interface. The negative sign implies that the net evaporative flow is from the evaporation/insulation 28, 32 interface to the ambient air.
The evaporative energy flux can then be calculated from the evaporative flux, as shown by Equation (9):
In this equation, hfg is the enthalpy of vaporization of water at temperature T0. In the panel stack 12, it can be assumed that the evaporative energy flux is constant across the whole insulation layer 32 and that within the insulation, there is no temperature dependent effect, condensation, or re-evaporation.
The radiative heat flux Grad can be governed by the emission, absorption, and scattering that originate from the atmosphere, the insulation layer 32, the water-rich layer evaporative layer 28, and the substrate underneath (e.g., the reflective layer 24). qrad at can be solved for at each layer of the same control volume using the radiative transfer equation (RTE). The RTE can model the spatial distribution of diffuse intensity of light at both solar and mid-infrared wavelengths by accounting for emission, absorption and scattering in the medium, for given boundary conditions (substrate optical properties and temperature, atmospheric irradiance, solar irradiance) and for the temperature profile T(x) of the medium. The RTE solved for can be given by Equation (10):
In this equation, λ is the wavelength, Iλ is the diffuse spectral radiance along direction u =cos(θ) at an optical depth τλ=δ0xβλds,βλ is the extinction coefficient, 0 is the polar angle with respect to the zenith, ωλ is the scattering albedo, pλ is the scattering phase function, Ba is the spectral blackbody intensity at a temperature T and optical depth τi, and FSλS is the spectral direct beam source (i.e., solar irradiation). The diffuse radiance direction μ is defined as positive going from the substrate to the sky. The beam source is assumed to be perpendicular to the medium boundary, which allows simplification of the model by assuming 1-D radiative heat transfer (i.e., azimuthal symmetry). The optical properties (scattering albedo w, extinction coefficient β and scattering phase function p) of the PAH and PEA were estimated from experimental measurements of hemispherical transmittance and reflectance, and direct transmittance.
The current model also accounts for the spatial variation of optical properties with changing medium. The boundary condition at x=0 (air/insulation layer interface) was set by the downward irradiance from the atmosphere modeled in MODTRAN® 6.0 using time and geographical specific weather conditions, which gives Equation (11):
In this equation, I∞,λ is the spectral diffuse radiance at the top of the medium (i.e., the atmospheric radiance). At the bottom side of the water-rich layer 28, assumed was reflection and emission from the reflector/emitter 24 at temperature Tsub, as shown in Equation (12):
In this equation, ∉1 is the emitter spectral emissivity and τμ,tot is the optical depth at the bottom of the water-rich layer.
To solve for Equation (10) and obtain the diffuse intensity of light within the control volume, the angular domain of the RTE was discretized using the discrete ordinate method, resulting in a linear set of equations which can be more easily solved for. The total radiative heat flux is then calculated by adding the total diffuse and direct fluxes of radiation, as shown in Equation (13):
In this equation, the negative sign implies that the net radiation energy flow goes out of the control volume towards the ambient.
The conductive heat flux qcond is driven by the local temperature gradient and thermal conductivity in the system and is evaluated at each interface of the L layers of our medium. qcond can be solved for using Fourier's law, as shown in Equation (14):
In this equation, the thermal conductivity k is equal to kh=0.6 W/m−K for PAH and kPEA=0.028 W/m−K for PEA. It is noted that kPEA refers only to the solid and gas components of thermal conductivity as the radiative component is captured by the radiative model. In this currently described, non-limiting instance, as part of the boundary conditions, a fixed emitter temperature Tsub at the bottom of the water-rich layer 28 was set. At the air/insulation layer 32 interface, thermal convection with the ambient air was assumed with a heat transfer coefficient hconv. When modeling the experimental systems, hconv based on the wind speed in the experiments using the empirical relation hconv=5.7+3.8V was estimated.
Once the temperature profile T(x) within the system satisfying Equation (7) is found, the evaporative, radiative, and conductive energy flux can be calculated at any location x such as x=0 to evaluate the total cooling power, as shown in Equation (15):
By changing the substrate temperature (one of the boundary condition), the cooling power can be evaluated as a function of the temperature difference between the substrate and the ambient and then calculate the stagnation temperature which is defined as the substrate temperature at which qcool=0 W/m2.
Returning to the present embodiment, for a given temperature at the substrate surface Tsub, the hybrid cooling panel stack 12 approach generates cooling power if there is a net energy flow from the substrate to the ambient (qevap+qrad+qcond<0). The net cooling power can then be calculated as shown in Equation (16):
The stagnation temperature difference ΔT is defined as Tsub−Tamb when qcool=0 and the net ambient cooling power q0 is defined as qcool at Tsub=Tamb.
In
The hybrid cooling panel stack 12 exhibits higher cooling power than pure radiative cooling although thicker insulation layers 32 tend to decrease q0 of the hybrid design due to the added vapor mass transfer resistance in the insulation layer 32. For pure radiative cooling, the ambient cooling power q0 varies little with increased PEA thickness since the overall IR emittance becomes lower while the overall solar reflectance becomes higher. For the hybrid cooling stack, as the PEA thickness increases, the vapor transport resistance for evaporation becomes significantly larger, resulting in a lower q0. Nevertheless, hybrid cooling stack still has a significantly larger qo than pure radiative cooling.
The water mass flux leaving the system m″ for the two cooling methods can also be considered. The water usage per cooling power generation can be defined as ME=m″q0. In
Also, increasing the insulation layer 32 thickness can further cut the water expenditure of hybrid cooling per cooling power generation. The insulation layer 32 improves solar reflectance and resists parasitic heat gain (which becomes more useful for materials of practical optical properties and subambient temperature operation) but adds finite resistance to vapor and IR transmission. As such, this insulation layer 32 thickness can be tuned to meet specific requirements of water consumption and cooling performance. Overall, the hybrid design has the potential to achieve higher cooling power than pure radiative cooling systems while consuming less water than pure evaporative systems per cooling power generation.
In at least some embodiments, the hybrid cooling panel stack 12 can include scalable materials, including: a 3M Enhanced Specular Reflector (ESR) film, a polyacrylamide hydrogel (PAH), and a polyethylene aerogel (PEA) as the three layers 24, 28, 32 in
To fabricate the PEA samples, about 0.5 wt % ultrahigh-molecular-weight polyethylene (429015, Sigma-Aldrich) was mixed with about 99.3 wt % paraffin oil (76235,
Sigma-Aldrich) and about 0.2 wt % butylated hydroxytoluene (W218405, Sigma-Aldrich) in a sealed beaker at room temperature. The heterogeneous solution was then mixed in a silicone oil bath at about 16020 C. and stirred with a magnetic bar for around about 30 minutes, at which point the polymer fully dissolved into the paraffin oil to create a homogeneous solution. The solution was then poured into an aluminum mold, which was subsequently submerged in cold water (about 420 C.). After phase separation of the polymer from the solvent, the gel was transferred to a hexane bath for solvent exchange. Three solvent exchanges in hexane followed by three solvent exchanges in ethanol were done over the course of two weeks to remove all paraffin oil from the polymer gel before drying. Finally, the polymer gel was dried in a supercritical CO2 dryer.
In some embodiments, the 3M ESR has a solar reflectance of about 94.6%, the PAH has an about 92% water mass fraction when fully hydrated, the PEA has a solar reflectance of about 92.2% and a mid-IR transmittance of about 79.9% at about six (6) mm thickness, and the thermal conductivity and the vapor diffusivity for PEA are about 28 mW/m−K and about 0.18 cm2/K, respectively.
Optical and IR images of PAH and PEA are shown in
The stagnation temperature test for the two cases of hybrid cooling with and without insulation (Hybrid 1, shown as reference numeral 412 in
As shown in
In the exemplary assemblies of the experiments of
Next shown is that hybrid cooling enables large cooling power even under unfavorable climate conditions. At a low altitude test location (elevation ≈22 m), the net cooling power of Hybrid 0, Hybrid 1, and a reference pure radiative cooler while varying ST =Tsub−Tamb were characterized by embedding heaters and temperature controllers underneath the cooling layers. The first set of experiments compared the performance of Hybrid 1 (ESR layer 24″ +PAH layer 28″ +PEA layer 32″) against pure radiative cooling, as shown in
In the exemplary assemblies of the experiments of
Another embodiment of a ERCP system 210 is shown in
Hybrid evaporative and radiative cooling panels, such as a cooling panel stack 212 of the ERCP 210 described in this exemplary embodiment, can also work in a free cooling mode (i.e., not connected to a vapor compression system). In some industries, for example but not limited to data center cooling, vapor compression systems are not always required and free cooling with the ambient air can often be sufficient. In data center cooling, free cooling may be sufficient to maintain the server at their target operating temperature. But while free cooling can help achieve significant energy savings in data centers compared to vapor-compression-only cooling, free cooling is typically only possible when the ambient dry-bulb or wet-bulb temperatures are low enough, limiting its use to only a limited number of hours annually or to colder regions. By using hybrid cooling panels, such as the cooling panel stack 212 of the ERCP 210 and/or other stacks disclosed herein and/or derivable from the present disclosures, it would be possible to extend the range of operating ambient temperatures to further extend the operating hours of free cooling, thus cutting down on energy consumption while also enabling free cooling in warmer climates and lower water consumption compared to evaporating.
In the exemplary embodiment, the cooling panel stacks 212 can provide the necessary cooling to the building through a heat exchanger 240. A person skilled in the art will appreciate various types and configurations of heat exchangers, and thus a further description of the configuration of the heat exchanger 240 and how it operates is unnecessary. The cooling panel stacks 212 may be arranged on the roof 292 of the a building 290, or in any suitable location known to a person skilled in the art. A hot heat transfer fluid 217 can flow at the backside of the disclosed hybrid cooling panel stack 212, as shown in
Commercial applications provided for by the present disclosures can include targeting to address the air conditioning and/or refrigeration systems of commercial buildings such as datacenters and supermarkets. In one instance, a simulation was run using MATLAB to calculate the baseline capabilities of systems of the present disclosure in use with a refrigeration cycle. More particularly, in MATLAB, first calculated is the baseline system (no evaporative-radiative cooling) hourly electricity consumption. Assumed is that the refrigeration cycle uses R-407A refrigerant with a fixed evaporator temperature of −2° C., a compressor isentropic efficiency of 70%, a pressure drop of 1% across the condenser and evaporator, and an air-cooled condenser operating at a temperature of 10 K above the ambient temperature with a power consumption of 20 Welectric per 1000 Wthermal rejected to the ambient. The thermodynamic properties of the refrigerant are obtained from CoolProp. The total energy consumption for the baseline system, calculated on an hourly basis, accounts for the compressor work and the air-cooled condenser fan power. For the hybrid evaporative-radiative cooling approach, the same solar reflector 24, hydrogel layer 28, and PEA insulation layer 32 as described above is used, and the proportion of the rooftop area covered by the panels depending on the simulation is varied. Also assumed is that a 15% ethylene glycol-water solution of heat transfer fluid 17 flows at the backside of the cooling panel stack 12 in a parallel flow configuration. The hybrid cooling panel stack's 12 fluid loop is also connected to a heat exchanger 40 with the R-407A refrigerant in series (after) with the air-cooled condenser 94. Depending on the operating mode, the air-cooled condenser 94 either desuperheats (fully or partly down to a temperature of 10 K above the ambient) the refrigerant (and/or other material(s) that may be disposed in the condenser 94) after compression (while the hybrid cooling panels 12 perform the rest of the refrigerant cooling) or cool the refrigerant down to a saturated liquid state (before subcooling the refrigerant with the hybrid cooling panels 12). For simplicity, it is assumed that the heat exchanger 40 between the cooling panel 12 heat transfer fluid 17 and the refrigerant operates in a counterflow configuration with an effectiveness of unity.
Using the hybrid cooling panels minimizes the air-cooled condenser fan power while enabling lower condenser temperatures than the baseline system and thus lower compressor work. These energy savings are however counterbalanced by the pumping energy required to flow the ethylene glycol-water fluid at the backside of the hybrid cooling panels such that an optimal mass flow rate must be solved for at each hour. More specifically, a higher fluid mass flow rate will maximize the average temperature of the hybrid cooling panels and thus their total heat rejection rate but will also require a higher pumping power, and vice versa. In the disclosed model, the total energy consumption (sum of compressor work, air-cooled condenser fan work and fluid loop pumping work) is optimized by varying the condenser temperature and the fluid loop mass flow rate at each hour. The average hourly cooling power of the hybrid cooling panels is calculated from hourly weather data (e.g., ambient temperature, solar irradiance, relative humidity, precipitable water vapor, polyethylene aerogel insulation thickness, wind speed and cloud coverage) and using the average ethylene glycol-water fluid temperature. The yearly energy consumption is summed from the hourly results and energy savings are derived using the baseline system as the reference.
This modeling framework can also be used to evaluate the yearly energy and water consumption of traditional evaporative condensers. More specifically, it is assumed that the evaporative condensers can provide a condensation temperature approximately in the range of about 5° F. to about 15° F. above the wet-bulb temperature and that they operate with a bleed rate of one-quarter the evaporation rate (we assume an equivalent bleed rate for our hybrid cooling panels).
It was determined that the present disclosures allow for a reduction in water
consumption, such reductions being more pronounced than others, depending on various weather conditions in regions of the country (and world). More particularly, it was observed that a 76% to 95% reduction in water consumption is observed across the different climate zones for the hybrid cooling panels, a promising number for reducing space cooling related water usage, especially in water-scarce regions. This reduction in water consumption can be attributed to a few factors. First, the hybrid nature of the cooling architecture means that a large portion of the cooling is done by radiative cooling, which does not consume water. Second, the cooling panels are in series with an air-cooled condenser which contributes to a portion of the heat rejection. Third, the hybrid cooling panels sometimes operate above the ambient temperature (although at a lower temperature than the air-cooled condenser) and can thus benefit from natural or forced convective cooling. Overall, it has been demonstrated that important refrigeration-related electricity savings are possible in supermarkets across the United States using rooftop hybrid cooling panels, while also using much less water than evaporative condensers. Further improvements can be shown by changing the coverage rooftop panels provide. In some modeling, the hybrid cooling panels coverage was fixed to 10% of the total rooftop surface area for the sake of simplicity. Changing the rooftop panel coverage can however help optimize energy savings, water consumption and the payback period.
The hybrid panels provided for herein can be recharged with water. Assuming 5-mm PAH and 10-mm PEA, the recharging period for the hybrid cooling panel stack in most places is typically greater than 10 days and can surpass a month for counties on the west coast. Even for hot and arid areas, one working cycle for the hybrid cooling panel stack can last around four days. The recharging period of the hybrid cooling panel stack can also be increased with thicker PAH and PEA designs, which improve the water capacity and insulation. To recharge the hybrid cooling panel stack structure, the hydrogel layer is taken out and soaked it in water, and e a second fully hydrated hydrogel layer to minimize downtime and allow for alternation may be used. To keep the materials in place during the recharging process, extended parts for the hydrogel layer that can be dipped into water reservoirs can be designed. Capillary pumping can be used to route water into the dried hydrogel, leveraging its porous structure.
In further advantageous usage scenarios, the improved hybrid cooling panel stack 12 may be utilized for food storage applications. Around one third of the food produced on earth is being wasted. In developing countries, over 15% of post-harvest food is being lost because of inadequate handling and storage, accentuating food insecurity, reducing farmer's income and depleting natural resources while causing unnecessary greenhouse gases emissions. With earth's increasing population and related consumption, demand on agriculture, energy and natural resources is hitting record highs and must urgently be addressed. Solving this complex problem will require many different types of solutions, ranging from improved food production, environmental performance and resilience, to better data and decision support tools that guide management decisions, to simple solutions improving the food supply chains and customer behavior.
One approach to improving the food chain is to improve the cold chain starting right at the post-harvest. Several works in the literature propose ideal storage temperatures and humidity conditions for various food produce as well as their temperature dependent lifetime. In fact, the storage temperature for sensitive products such as perishable foods can have a drastic effect on produce lifetime. The rate of quality decay can increase by 2-3x for every 10° C. in temperature increase. Even a small decrease in average or maximum temperature can have significant effects on post-harvest losses. With that in mind, the use of clay pot passive evaporative coolers can reduce post-harvest food waste, for example in climates such as in sub-Saharan Africa. By storing post-harvest fruit and vegetables inside clay pots coolers, a decrease in the average daily temperature by approximately in the range of about 1° C. to about 3° C., with an approximate range of about 7° C. to about 15° C. lower peak daily temperature and a reduction in temperature fluctuations approximately in the range of about 10° C. to about 20° C. can be achieved. As a result, the controlled environment can enable shelf-life improvements of specific vegetables ranging from about 2x to about 4x compared to other vegetables stored at ambient temperature. While the evaporative cooler provides significant benefits to the users, the system still suffers from critical challenges. First, the evaporative cooler suffers from environmental heat gain as its temperature drop below the ambient dry bulb temperature. Second, the evaporative cooler requires frequent watering due to the large evaporation rate of water. Third, the evaporative coolers have poor solar reflectivity, leading to undesired solar heating or requiring the construction of a large shade cover.
To tackle these limitations, the disclosed hybrid cooling panel stack architecture provides passive cooling of food produce at low sub-ambient temperatures, with lower water consumption and without shade cover. According to another aspect of the present disclosure, a hybrid passive cooler 310 having a cooling stack 312 for food produce is presented in
A person skilled in the art will appreciate further features and advantages of the disclosures based on the provided for descriptions and embodiments. Accordingly, the inventions are not to be limited by what has been particularly shown and described. All publications and references cited herein are expressly incorporated by reference in their entirety.
The present application claims priority to and the benefit of U.S. Provisional Application No. 63/272,035, entitled “Hybrid Evaporative-Radiative Cooling Panels” and filed on Oct. 26, 2021, the contents of which is incorporated herein by reference in its entirety.
Filing Document | Filing Date | Country | Kind |
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PCT/US2022/047947 | 10/26/2022 | WO |
Number | Date | Country | |
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63272035 | Oct 2021 | US |