Abstract:
A microchannel cooler containing a slurry having a particulate liquid/solid phase change material is provided balancing the interdependent factors of microencapsulated particle size with microchannel size and shape and flow conditions for the removal of high heat flux with low space and low power requirements.

Description:
FIELD OF THE INVENTION 
     This invention relates generally to the removal of heat from volume or power constrained environments and, more particularly, to microchannel coolers suitable for the removal of high heat flux with low space and low power requirements. 
     BACKGROUND OF THE INVENTION 
     Technology advances in microchips, batteries, and various other small scale and high power applications are increasingly constrained by the need for effective thermal management. For example, increasing the speed of microprocessors may depend on effective new thermal management techniques to dissipate high heat fluxes. Similarly, electronic actuators that may take the place of hydraulics and mechanical actuators in aircraft may require similarly effective thermal management schemes. It is desirable that these thermal management, i.e., thermal transfer, schemes meet the criteria of low power consumption, low physical volume, and low weight owing to the small scale of many intended applications. Further, it is desirable that the heat transfer system should have few moving parts, require very little maintenance, and perform reliably in variable environmental conditions. 
     Phase change materials (PCM), i.e., materials that undergo a reversible latent energy transition upon transfer of thermal energy thereto, and particularly discrete particles of micro-encapsulated phase change material (MEPCM), have been proposed as a heat transfer material for microelectronics in stationary heat sink and heat pipe type heat transfer systems; such as in U.S. Pat. No. 5,007,478 and US Patent Application no. 2004/0159422, respectively. In these stationary heat sink and heat pipe type heat transfer systems flow conditions of the phase change material do not exist or are easily ignored. 
     In macro-scale heat transfer applications, MEPCM slurry, i.e., a two component fluid of liquid and suspended solids, has been suggested for use, such as in Colvin et al., U.S. Pat. No. 4,911,232. In these macro-scale systems, flow conditions of the slurry are basically laminar. Due to the large scale of such applications, there is no apparent concern for weight, volume or power consumption constraints. 
     In some microelectronic heat transfer systems, microchannel heat exchangers incorporating finned-microchannels have been suggested to achieve high cooling coefficients through high convective heat transfer coefficients and extended cooling surface area, such as in Goodson et al., US Patent Application no. 2003/0062149. However, due to flow condition considerations for the thermal transfer media, i.e., coolant fluid, within the microchannels, only liquid-component phase change materials of the boiling type have been suggested for use with microchannels. 
     SUMMARY OF THE PRESENT INVENTION 
     To Applicants&#39; knowledge, no teaching exists within the art to use MEPCM in a microchannel heat exchanger because physical constraints such as flow conditions, including but not limited to laminar flow versus turbulent flow, viscosity problems, particle clogging, and the like; in a micro-channel environment have not suggested a practical use for a MEPCM slurry to achieve a balancing of the related and interdependent factors of PCM particle size and heat capacity with that of channel size and flow conditions necessary to achieve a small volume, low power microchannel heat transfer apparatus to obtain suitable heat transfer. 
     In one embodiment, the present invention provides a practical system for greatly enhancing the cooling efficiency of a microchannel heat exchanger by utilizing MEPCM suspended in the heat transfer liquid passing through the microchannels. The thermal storage advantage of solid PCM is coupled with the high heat flux capabilities of microchannels to achieve high heat flux with little temperature variation in the coolant medium. Advantages of the present invention include the capabilities for a low slurry flow rate and a low pressure drop across the microchannel heat exchanger leading to low pumping or compression power requirements for the thermal transfer apparatus. 
     According to the present invention, heat generated, e.g., by an electronic component such as an integrated circuit (IC) or the like, is removed at a high rate through a microchannel heat exchanger. The heat exchanger can comprise several closely-spaced high-aspect ratio channels, desirably in height to width, and having minimal wall thickness or channel gaps. A slurry comprising a heat transfer liquid and the MEPCM particles is pumped through the microchannels, absorbing the heat. The PCM is encapsulated in a material, typically a polymer, that permits the PCM to remain encapsulated in the liquid phase. Desirably, the PCM of the MEPCM particles enters the microchannel heat exchanger in the solid phase and exits in the liquid phase. 
     A secondary heat exchanger with a much larger available heat transfer area can be used to dissipate heat from the slurry to the environment away from the heat generating component and the heat exchanger. The MEPCM particles return to the solid phase after leaving the microchannels to be cycled again through the microchannel heat exchanger. 
     Accordingly, the present invention may provide a heat generating component, e.g., an IC, joined in heat transferring proximity to a microchannel heat exchanger comprising a series of microchannels passing a slurry having a two component fluid of liquid and suspended solids, and desirably containing a liquid/solid phase change material operable to melt in the heat range required for cooling the heat generating component. Desirably, the operating temperature of the coolant fluid will be centered on the melting point of the MEPCM. A pump for moving the liquid slurry through the heat exchanger can then be run with less power due to a lower flow rate required of the coolant than was heretofore available. 
     In some embodiments the present invention may provide the heat exchanger with an inlet and an outlet, and operate the heat exchanger to produce a small temperature difference of the slurry between the inlet and the outlet, such as about 5° C. or less to about 20° C. Accordingly, the pressure drop over the heat exchanger will be small and a substantially constant flow rate can be maintained whereby the pumping power requirements will be smaller than for a typical water or ethylene glycol/water mixture alone to achieve an equal or better cooling. 
     According to some embodiments of the invention, the microchannels have a high aspect ratio of height to width, e.g., of at least 5:1, with widths being from about 50 to about 500 microns In one exemplary embodiment the microchannels may have a width of about 100 microns, a height of 500 microns and wall thickness between channels of about 100 microns. In another exemplary embodiment the microchannels may have a width of about 400 microns, a height of 1 cm (100,000 microns) and wall thickness between channels of about 200 microns. In another exemplary embodiment the microchannels may have a nonlinear sinuous or serpentine path designed to increase flow disturbance over that of a straight channel in order to produce more efficient cooling. 
     The PCM component of the slurry may be microencapsulated, with the microencapsulated PCM particles desirably being of a diameter in the range of about 5 microns to about 50 microns, but in any case of a diameter significantly smaller than the width of the microchannel, for example, from about 5 to about 20 percent of the width of the microchannel. The slurry is desirably constructed to be easily pumped through the microchannels and may, by way of example, be a mixture of 30% PCM of high latent heat and 70% water or other fluid of high specific heat, or other percentages dependent upon design criteria. The choice of the PCM is mainly based on its melting point according the cooling application selected. The PCM would have a melting point ranging between about 20° C. and about 50° C. to maintain the surface to be cooled below about 100° C. If the slurry temperature were not allowed to rise more than 5° C. then the effective specific heat capacity will be 5 times that of water alone. 
     Accordingly, the present invention can overcome the disadvantages of an evaporative (liquid/vapor) microchannel system by removing the possibility of break down of fluid cooling at high temperatures such as might occur in an liquid-to-vapor phase change system due to a loss of capillary pumping or lack of wetting of the microchannels. Also, unlike the previously used liquid/boiling phase change, the solid/liquid phase change does not create low thermal conductivity vapor near the surface to be cooled. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       The aspects of this invention will be better understood from the following detailed description taken in conjunction with the drawings wherein: 
         FIG. 1  schematically illustrates a cooling system for a heat generating component according to one embodiment of the present invention. 
         FIG. 2  illustrates the microchannel portion of the cooling system of  FIG. 1  according to one embodiment of the present invention. 
         FIG. 3  is a schematic of MEPCM slurry melting action in laminar flow within a microchannel. 
         FIG. 4  illustrates a portion of a microchannel cooling system with non-linear, generally serpentine microchannels, according to one embodiment of the present invention. 
     
    
    
     DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS 
     Referencing  FIG. 1  and  FIG. 2 , a microchannel heat exchanger system  11  for a heat generating component  13  such as electronic components or circuitry including, but not limited to, one or more ICs, computer processors, batteries, fuel cells, printed circuit boards, or combinations thereof; comprises a primary microchannel heat exchanger  15  located in proximity to the heat generating component  13  to remove heat therefrom. The primary microchannel heat exchanger  15  can be separately manufactured apart from the heat generating component  13  to be locatable in proximity to the heat generating component  13  at a later time, or may be located originally or integrally, or both, with the heat generating component  13 . A slurry  14 , indicated by arrows in  FIG. 2 , comprising a liquid carrier with a particulate liquid/solid phase change material operable, as further described below, to melt in a heat range required for cooling the heat generating component  13 . Desirably the primary microchannel heat exchanger  15  may be formed integrally with the IC such as on a “bottom” plane of the silicon substrate of the IC or the like. A pump  17  is provided for moving the liquid slurry  14  in channels  18  at a desired flow rate through the primary and secondary heat exchangers  15 ,  19 . The microchannel heat exchanger system  11  desirably has a secondary heat exchanger  19  for transfer of heat  20  to ambient surroundings of the heat generating component  13  and the microchannel heat exchanger  15   
     Referencing especially  FIG. 2 , the primary microchannel heat exchanger  15  has a series of microchannels, collectively  21 , for passage of the liquid/particulate slurry  14  which acts as a heat transfer medium to remove heat  20  from the heat generating component  13  ( FIG. 1 ). 
     Achieving high heat flux for a heat transfer system without significantly increasing the temperature of the heat generating material requires low thermal resistance of the heat transfer system. In general, there are many possible methods for reducing a thermal resistance. However, the methods are constrained when the heat transfer system application is in a temperature critical environment, in a confined space, has possible limitations on weight and volume, power consumption, or combinations thereof. 
     The overall thermal resistance, θ, given by Equation 1, governs the maximum heat transfer rate of a heat exchanger when there is a constraint on the temperature difference between the heat transfer surface and the coolant fluid.
 
θ=ΔTmax/Q=θcond+θconv+θheat   Eq. 1
 
     Where: θ=overall thermal resistance;
         ΔTmax=driving temperature difference; and   Q=heat flux.       

     Three mechanisms contribute to the thermal resistance: θcond, i.e., conduction of heat through the walls of the heat exchanger; θconv, i.e., convection from the walls of the heat exchanger to the coolant fluid; and θheat, i.e., transient heating of the coolant fluid as it absorbs energy passing through the heat exchanger. 
     To achieve high heat transfer rates, each thermal resistance needs to be minimized. As known in the art, θcond is minimized by reducing the distance between the heat source and the heat transfer fluid and placing the heat exchanger in adequate proximity to, and desirably in intimate contact with, the heat source. Ideally, the latter solution can be implemented by making the heat exchanger and the heat source out of the same material, as in the case with microchannels formed on the bottom side of the silicon substrate of a microchip. 
     θconv can be significantly reduced in single-phase flows by decreasing the width of the heat exchanger channels which works due to a near inverse relationship between convective heat transfer coefficient and channel width, at low Reynolds number. The present invention supplies a lower Reynolds number than liquid-only coolants. θconv can also be significantly reduced in single-phase flows by increasing the area wetted by the heat transfer fluid such as by increasing the heat transfer surface area with microchannels. The present invention supplies a slurry whose liquid carrier remains in intimate contact with the microchannel walls at all times. 
     The role of PCM particles is very important for reducing θheat. The heating rate of fluids depends on the heat capacity and the flow rate of the fluid in the channel. As the PCM absorbs heat and undergoes phase change, the temperature of the fluid does not rise significantly due to latent heat storage. However, the effective specific heat of the material dramatically increases during the phase transition. For a MEPCM slurry the effective specific heat over the melting range of the PCM increases many times compared to the specific heat of the carrier fluid. 
     The MEPCM slurry thus may have a very high effective heat capacity over a small temperature range. The system can be designed so that the temperature between the inlet and outlet of the heat exchanger is very small and centered on the melting range of the MEPCM. This condition will keep the heat removal driving temperature difference between the slurry and the microchannel walls high as the fluid moves through the heat exchanger, without having to increase the flow rate as would be the case with sensible heating of a liquid/vapor coolant medium. Further thermal management improvements such as lower flow rate and lower temperatures can thus be obtained when using MEPCM particles in a coolant liquid slurry. 
     The manufacturing and use of microencapsulated PCM are established and MEPCM particles are now commercially available in sizes from 5 microns and greater. Preferably, the diameter size of the MEPCM particles used is in the range of about 5 microns to 50 microns, or desirably not more than about 5% to 20% of the channel width. For specific application to a heat transfer fluid of the present invention, an MEPCM desirably has a high wall strength, high latent heat and thermal conductivity, minimal supercooling of the PCM, and particles that will not aggregate. 
     The small size of MEPCM particles also leads to the conclusion that inertial effects will be dominated by the viscous effects. In other words, the Reynolds number based on the particle diameter will be very low. In low Reynolds number flow of suspensions, the particles follow the streamlines of the fluid. In laminar flow, this condition leads to little or no radial migration of the particles. Radial migration can be an important heat transfer mechanism for MEPCM slurries, but it can also lead to a layer with significantly decreased particle concentration near the heat transfer surface. 
       FIG. 3  shows the general process of transfer of heat  20  for the MEPCM slurry  14  in a microchannel  21  where the solid MEPCM particles in a laminar flow begin to melt near the walls  23  as the slurry  14  enters the highly heated section  24  of the primary heat exchanger microchannel  21 . The flow develops into fully melted regions  25  near the walls  23  and a core  27  of unmelted, i.e., solid, particles. Melting occurs along a locus extending from the interior wall surface  29  towards the core  27  of the slurry flow. 
     When the flow is turbulent, the melting and solidification process reoccurs as the particles migrate from the core of the flow toward the walls. As the particles melt near the wall, the relative local temperature decreases, increasing the heat transfer coefficient. Further downstream along the channel, the fluid temperature increases, more and more of the particles remain in the liquid phase, and the heat transfer rate is reduced. Thus, mixing and turbulence play an important role in increasing the heat transfer coefficient. However, the flow  14  in straight or linear microchannels would normally be in the laminar regime. 
     Referencing  FIG. 4 , in one preferred embodiment of the invention the primary microchannel cooler  15  has microchannels  21  designed with disturbances to promote mixing and turbulence of the slurry  14 . The exemplary microchannel pattern  31  is shown with sharp corners in a generally serpentine microchannel path which will lead to separation zones, and therefore enhanced mixing, downstream of the corners to achieve high heat transfer rates. 
     In Table 1, below, for an exemplary embodiment of the present invention using a 1 cm×1 cm example of a microchannel cooler for meeting a design criteria of the removal of 100 Watts (W) of heat over a square centimeter (cm 2 ) area using a MEPCM slurry of water and heptadecane, the assumed/given values and the calculated values indicate that various improvements in operational efficiency are available for a microchannel heat exchanger of the present invention over that of a liquid or liquid/vapor cooling system. 
     The mass flow rate of a two-component particle slurry for the removal of 100 Watts (W) of heat over a square centimeter (cm 2 ) area for one example of the present invention was estimated based on heat balance. The fluid was assumed to be a mixture of 30% heptadecane PCM and 70% water by mass and an assumption was made that all of the PCM melted in the heat exchanger over a temperature range of 5° C. A detailed description of the calculations, material properties, and assumptions are set forth below. With these assumptions, the mass flow rate of fluid needed to cool a surface while meeting the design criteria is 1.1 g/s/cm 2 . In a 1 cm×1 cm microchannel heat exchanger with microchannel widths of 100 microns, height of 500 microns, and spacing between channels (channel gap) of 100 microns, the mean fluid velocity is 0.5 m/s, giving an approximate Reynolds number of 64, a safely laminar flow condition. The pressure drop over a 1 cm long channel is 6.9 kPa. The estimated pumping power is 8.4 mW. It will be appreciated that the invention is scalable and that the 1 cm×1 cm embodiment as set forth is for illustration and understanding of the invention. 
     According to a second example a two-component particle slurry for the removal of 200 Watts (W) of heat over a square centimeter (cm 2 ) area was assumed to be a mixture of 30% heptadecane PCM and 70% water by mass and an assumption was made that all of the PCM melted in the heat exchanger over a temperature range of 10° C. With these assumptions, the fluid velocity needed to cool a surface while meeting the design criteria is 0.64 m/s in a 2 cm length×1 cm width microchannel heat exchanger with 16 microchannels having widths of 400 microns, height of 1 cm, and spacing between channels (channel gap) of 200 microns, giving an approximate Reynolds number of 281. The pressure drop over the 2 cm long channel is 1.5 kPa. The estimated pumping power is 6.1 mW. It will again be appreciated that the invention is scalable and that the 2 cm×1 cm embodiment as set forth is for illustration and understanding of the invention. 
     Calculations: 
     Nomenclature 
     
         
         q″ Heat flux 
         {dot over (m)} Mass flow rate 
         C eff  effective specific heat 
         ΔT temperature change of working fluid across heat exchanger
 
The mass flow rate of the working fluid can be calculated from the energy into the working fluid:
 
       
    
                     q   ″     =         m   ⁢             .     ⁢     C   eff     ⁢   Δ   ⁢           ⁢   T             Eq   .           ⁢   2                   m   ⁢             .     =       q   ″         C   eff     ⁢   Δ   ⁢           ⁢   T               Eq   .           ⁢   3               
The effective heat capacity of the fluid (C eff ) is due to the heat capacity of the water and the latent heat of fusion for the PCM. It&#39;s assumed that all of the PCM melts in the heat exchanger.
 
                     C   eff     =       c   _     +     ϕλ     Δ   ⁢           ⁢   T                 Eq   .           ⁢   4                 c   _     =         c   w     ⁡     (     1   -   ϕ     )       +       c   pcm     ⁢   ϕ               Eq   .           ⁢   5               
The mass flow rate (m), from Eq. 3 and the channel geometry can be used to determine the average fluid velocity (μ m ) in the microchannel.
 
{dot over (m)}=  ρ A c μ m   Eq. 6
 
  ρ   −1 =ρ w   −1 (1−φ)+ρ pcmφ   −1   Eq. 7
 
The Reynolds number (Re) is calculated from the hydraulic diameter (D), the density of the slurry (ρ), the mean speed, and the viscosity of the slurry (μ). The slurry was assumed to have a viscosity of 1.2 times the carrier fluid.
 
                   D   =       4   ⁢     A   c       P             Eq   .           ⁢   8               Re   =         ρ   _     ⁢           ⁢   D   ⁢           ⁢     u   m         μ   _               Eq   .           ⁢   9               
From the Reynolds number the pressure drop for laminar flow in a channel may be calculated from:
 
                     Δ   ⁢           ⁢   p     =       64   Re     ⁢     L   D     ⁢         ρ   _     ⁢           ⁢     u   m   2       2               Eq   .           ⁢   10               
The pumping power may be calculated from:
 
                   Power   =       10   6     ×       m   ⁢           ⁢   Δ   ⁢           ⁢   P     ηρ               Eq   .           ⁢   11               
where η is pump efficiency.
 
     
       
         
               
             
               
               
               
             
               
             
               
               
               
             
               
               
             
               
               
               
             
           
               
                 TABLE 1 
               
               
                   
               
             
             
               
                 The organic PCM selected was Heptadecane due to its superior  
               
               
                 physical properties. 
               
               
                 The physical properties of Heptadecane are as follows: 
               
               
                 Melting temperature = 27° C. 
               
               
                 Latent heat of melting = 237 kJ/kg 
               
               
                 Density = 775 kg/m 3   
               
               
                 Thermal conductivity: 0.15 W/m ° C. 
               
               
                 Specific heat capacity = 2.05 kJ/kg ° C. 
               
               
                 The results of the calculation are shown in the following 
               
               
                 Microchannel Calculations 
               
               
                   
               
               
                 Given: 
               
               
                 Suspension: Water and  
               
             
          
           
               
                 Heptadecane 
                   
                   
               
               
                 Mass Fraction 
                 F 
                 0.3 
               
               
                 Density 
                 pw (kg/m3) 
                 998 
               
               
                   
                 ppcm (kg/m3) 
                 775 
               
               
                 Specific Heat 
                 cw (kJ/kgK) 
                 4.18 
               
               
                   
                 cpcm (kJ/kgK) 
                 2.09 
               
               
                 Viscosity Water 
                 mu (kg/ms) 
                 0.000993 
               
               
                 Viscosity Increase 
                   
                 1.2 
               
             
          
           
               
                 Factor (assumed) 
               
             
          
           
               
                 Latent Heat 
                 lamPCM (kJ/kg) 
                 237 
               
             
          
           
               
                 Temp change of 
                 5 
               
               
                 SUSDEdelT © 
                   
               
             
          
           
               
                 Heat flux 
                 q″ (W/cm2) 
                 100 
               
               
                 running time 
                 delt (s) 
                 300 
               
               
                 Channel Dimensions 
                   
                   
               
               
                 Oveall Width 
                 W (cm) 
                 1 
               
               
                 Overall Length (cm) 
                   
                 1 
               
               
                 height channel 
                 hc (microm) 
                 500 
               
               
                 width channel 
                 wc 
                 100 
               
               
                 width gap 
                 wg 
                 100 
               
               
                 Calculated 
                   
                   
               
               
                 specific heat of suspension 
                 cbar (kJ/kgK) 
                 3.553 
               
               
                 effective specific heat 
                 cs (kJ/kgK) 
                 17.773 
               
               
                 (with phase change) 
                   
                   
               
               
                 ratio of cs to cw 
                 — 
                 4.25 
               
               
                 density of suspension 
                 ps (kg/m3) 
                 919 
               
               
                 mass of suspension needed 
                 m (kg) 
                 0.337591 
               
               
                 mass flow rate 
                 mdot (kg/s) 
                 0.001125 
               
               
                 number of channels 
                 n 
                 49 
               
               
                 mean velocity 
                 um (m/s) 
                 0.50 
               
               
                 Hydralic Diameter 
                 D (m) 
                 1.67E−04 
               
               
                 Reynolds number for Channel 
                 ReD 
                 64 
               
               
                 Pressure Drop 
                 delP (kPa) 
                 6.86 
               
               
                 Pumping Power 
                 P (mW) 
                 8.41 
               
               
                 h (heat transfer coefficient) 
                 kfNu/D 
                 10800 
               
               
                 f (volumetric flow rate) 
                 cm3/s 
                 1.224891 
               
               
                 Surface Area/Projected Area 
                   
                 5.88 
               
               
                   
               
             
          
         
       
     
     In comparison, the fluid velocity and the pressure drop for the same microchannel with water-only as the coolant fluid are 2.0 m/s and 22 kPa, respectively. The increase in pressure drop is due to the increased flow rate (4.8 g/s/cm 2 ) needed to provide similar cooling rate, which leads to a required pumping power of 107 mW. The pumping power for the water-only coolant fluid case is thus much higher than the corresponding pumping power in the microchannel with MEPCM slurry. 
     Example 2 
     
       
         
               
               
             
               
               
               
             
               
             
               
               
               
             
               
               
             
               
               
               
             
               
               
             
               
               
               
             
           
               
                   
               
             
             
               
                 Suspension: 
                 water and microencap- 
               
               
                   
                 sulated Heptadecane 
               
             
          
           
               
                 Mass fraction of PCM: 
                 30  
                 wt % 
               
               
                 Latent heat of PCM: 
                 237  
                 kJ/kg 
               
             
          
           
               
                 Microchannel heat exchanger dimensions: 
               
             
          
           
               
                 Length: 
                 2  
                 cm 
               
               
                 Width: 
                 1  
                 cm 
               
               
                 Channel height: 
                 1  
                 cm 
               
               
                 Channel width: 
                 400  
                 micron 
               
               
                 Channel wall thickness:  
                 200  
                 micron 
               
             
          
           
               
                 Number of channels: 
                 16 
               
               
                 Allowable temperature increase 
                 10° C. 
               
             
          
           
               
                 of the suspension:  
                   
                   
               
               
                 Achievable heat flux: 
                 200  
                 W/cm 2   
               
               
                 Effective specific heat capacity 
                 10.7  
                 kJ/kg° C. 
               
               
                 of the slurry based on 10° C. 
                   
                   
               
               
                 temperature rise:  
                   
                   
               
             
          
           
               
                 Ratio of the effective specific 
                 2.6 
               
             
          
           
               
                 heat capacity of slurry to that  
                   
                   
               
               
                 of pure water: 
               
               
                   
               
             
          
         
       
     
     
       
         
               
               
               
               
             
               
               
               
               
               
               
             
           
               
                   
               
               
                   
                   
                 Water cooling 
                 water/PCM 
               
               
                   
                 Parameter 
                 in microchannel 
                 slurry cooling 
               
               
                   
               
             
             
               
                   
               
             
          
           
               
                   
                 Fluid velocity 
                 1.5 
                 m/s 
                 0.64 
                 m/s 
               
               
                   
                 Reynolds number 
                 717 
                   
                 281 
                   
               
               
                   
                 Pressure drop 
                 3.5 
                 kPa 
                 1.5 
                 kPa 
               
               
                   
                 Pumping power 
                 33.6 
                 mW 
                 6.1 
                 mW 
               
               
                   
               
             
          
         
       
     
     The above comparison shows that by replacing the water with PCM slurry, the pressure drop was reduced to more than half, reducing the pumping power requirement by about five times while achieving the same cooling rate. 
     Thus the present invention reduces θ total by use of a microchannel heat exchanger to reduce θcond, increases the convection heat transfer coefficient to reduce θconv; and increases the effective specific heat of the transfer fluid to reduce θheat; thereby providing an efficient and effective heat exchanger in a volume and power constrained environment. 
     While in the foregoing specification this invention has been described in relation to certain preferred embodiments thereof, and many details have been set forth for purpose of illustration, it will be apparent to those skilled in the art that the invention is susceptible to additional embodiments and that certain of the details described herein can be varied considerably without departing from the basic principles of the invention.