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EPAC SoftwareCOLDPLATE ExampleSerpentine ExampleThis example builds a model of a 3 pass (serpentine) cold plate shown below. The example demonstrates howto add a new cooling fluid and how to account for the added pressure drop of cooling lines and quickdisconnects that are attached to cold plate. In addition, this example accounts for heat infiltration from anexternal environment. The cold plate design parameters are listed below: Add the cooling fluid listed in the table below. The aluminum cold plate has 3003 aluminum fins with a.062 thick 6061-T6 thick base and .04 thick cover. The fin style is ¼-11.1 (interrupted - lanced and offset),they are .375 and 10 fins per inch and .006 inches thick. Inlet fluid temperature is 37 at 60 PSI and 1.8lb/min. The surrounding air temperature is 150C with aneffective forced convection coefficient of h .018W/(in 2C). Assume for now, 500 Watts of power is uniformlydissipation on the cold plate base. There is 36 inches of 3/8 coolant tubing prior to the quickdisconnect which has an effective loss coefficient of 3.6.There is a quick disconnect at either end. Account for the 36 inches of tubing.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-90111

EPAC SoftwareCOLDPLATE ExampleThe new fluid is defined first, with the properties are taken from the previous table.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-90112

EPAC SoftwareCOLDPLATE ExampleInput the geometry parameters on this tab.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-90113

EPAC SoftwareCOLDPLATE ExampleThe base plate, cover and fin properties are defined here. The aluminum selected for the design arealready built into the material library, so they only need to be picked from the drop down list.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-90114

EPAC SoftwareCOLDPLATE ExampleInput the Inlet fluid temperature, pressure, mass flow rate and select “Mystery Fluid” as the coolingfluid.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-90115

EPAC SoftwareCOLDPLATE ExampleThe 500 Watts of power are added here.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-90116

EPAC SoftwareCOLDPLATE ExampleThe “Inlet Section” button is selected to specify both the 36 inches of tubing and the quick disconnectjust prior to the cold plate. In addition, the “Exit Section” button is selected to specify the quickdisconnect just after the exit from the cold plate.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-90117

EPAC SoftwareCOLDPLATE ExampleThe “Inlet Section” 36 inches of tubing and quick disconnect parameters are input here.The “Exit Section”parameters areCopyright EPAC-INC.COMquick disconnectinput here.FOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-90118

EPAC SoftwareCOLDPLATE ExampleThe heat infiltration from the external environment is input here.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-90119

EPAC SoftwareCOLDPLATE ExampleDefinition of the 3 passes for the serpentine path and for the number of nodes along with and lengthare defined below. It is that simple.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-901110

EPAC SoftwareCOLDPLATE ExampleThe isothermal results are shown below; they are always calculated prior to the non-isothermalanalysis and are used as input to the non-isothermal ##########################HEATING ON ONE SIDE ONLY************************* VARIABLE INPUTS **************************THE TYPE OF FINS SPECIFIED ARE:1/4-11.1FIN HEIGHT, INCHES0.375BASE THICKNESS, INCHES0.062FIN THICKNESS, INCHES0.0060FIN DENSITY, FINS PER INCH10.0STATIC INLET FLUID TEMPERATURE, DEG C37.0INLET PRESSURE, LBS/IN260.00MASS FLOWRATE, LBS/MIN1.80THE POWER APPLIED TO ONE SIDE ONLY, WATTS500.00INSULATION THICKNESS, INCHES0.000EXTERNAL AMBIENT AIR TEMPERATURE, DEG C150.0THE COOLING FLUID IS:MYSTERY FLUID**************** INTERMEDIATE CALCULATED PARAMETERS ****************FREE FLOW CROSS SECTIONAL AREA, IN20.47HYDRAULIC DIAMETER, INCHES0.150COLDPLATE WEIGHT, LBS0.83TOTAL VOL FLOWRATE,[GAL/MIN] FT3/MIN [0.2]0.03COLDPLATE VOL FLOWRATE, [GAL/MIN] FT3/MIN [0.2]0.03COLDPLATE VELOCITY, FT/SEC0.14REYNOLDS NUMBER6.EQUIVALENT FRICTION LOSS COEFFICIENT, KFRICTION592.40INLET LOSS COEFFICIENT, KINLET0.83EXIT LOSS COEFFICIENT, KEXIT-0.72FILM COEFFICIENT, [BTU/(HR-FT2-F)] W/(IN2-C) [ 50.09] 0.1834THE FIN EFFICIENCY WITH HEAT ON ONE SIDE ONLY IS0.601CONVECTION HEAT LOAD, WATTS47.08*************************** PRESSURE *******************************INLET PRESSURE, LB/IN260.000INLET PRESSURE DROP, LB/IN20.000ACCELERATION PRESSURE DROP, LB/IN20.000FRICTIONAL PRESSURE DROP, LB/IN20.081EXIT PRESSURE DROP, LB/IN20.000FLOWLOSS INLET PRESSURE DROPS, LB/IN20.236FLOWLOSS EXIT PRESSURE DROPS, LB/IN20.009TOTAL PRESSURE DROP, LB/IN20.325EXIT PRESSURE, LB/IN259.675************************ THERMAL RESISTANCE ************************THERMAL RESISTANCE FROM INLET FLUID TO COLDPLATE, C/W0.057THERMAL RESISTANCE FROM LOCAL FLUID TO COLDPLATE, C/W0.027************************** TEMPERATURES ****************************STATIC INLET FLUID TEMPERATURE, DEG C37.0STAGNATION FLUID TEMP RISE ALONG COLDPLATE, DEG C26.0TOTAL STAGNATION FLUID TEMP RISE, DEG C26.0STATIC EXIT FLUID TEMPERATURE, DEG C63.0ISOTHERMAL COLDPLATE TEMPERATURE, DEG C68.3MAXIMUM COLDPLATE TEMPERATURE, DEG C77.6Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-901111

EPAC SoftwareCOLDPLATE ExampleThe temperature at each node on the cold plate and fluid are calculated and shown below. Thepower on each node is also shown.INLET FLUID TEMPERATURE 37.0 C-----------V CP TEMP V FLD TEMP POWER NODE NO. ----------- EXT. AMB. TEMP ---------------------------------------------- 54.1 55.1 57.7 63.7 66.7 68.3 69.3 69.9 70.2 ( 37.5) ( 37.6) ( 37.7) ( 53.3) ( 53.7) ( 54.2) ( 54.7) ( 55.2) ( 55.6) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 1 N 2 N 3 N 4 N 5 N 6 N 7 N 8 N 9 ---------------------------------------- 54.4 55.4 57.9 63.7 67.0 68.7 69.7 70.3 70.5 ( 38.1) ( 38.2) ( 38.3) ( 52.9) ( 54.9) ( 55.3) ( 55.8) ( 56.2) ( 56.1) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 10 N 11 N 12 N 13 N 14 N 15 N 16 N 17 N 18 ---------------------------------------- 54.8 55.7 58.2 63.8 67.1 69.2 70.3 70.7 70.9 ( 38.6) ( 38.7) ( 39.0) ( 52.6) ( 54.4) ( 56.6) ( 57.0) ( 56.7) ( 56.6) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 19 N 20 N 21 N 22 N 23 N 24 N 25 N 26 N 27 ---------------------------------------- 55.2 56.1 58.5 63.8 67.0 69.3 70.6 71.1 71.3 ( 39.2) ( 39.3) ( 39.6) ( 52.2) ( 54.0) ( 56.1) ( 57.4) ( 57.2) ( 57.1) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 28 N 29 N 30 N 31 N 32 N 33 N 34 N 35 N 36 ---------------------------------------- 55.7 56.6 58.8 63.8 66.9 69.2 70.9 71.5 71.7 ( 39.7) ( 39.8) ( 40.2) ( 51.8) ( 53.6) ( 55.7) ( 57.9) ( 57.6) ( 57.5) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 37 N 38 N 39 N 40 N 41 N 42 N 43 N 44 N 45 ---------------------------------------- 56.2 57.0 59.1 63.7 66.8 69.1 71.1 71.8 72.1 ( 40.2) ( 40.4) ( 40.8) ( 51.4) ( 53.2) ( 55.3) ( 58.3) ( 58.1) ( 58.0) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 46 N 47 N 48 N 49 N 50 N 51 N 52 N 53 N 54 ---------------------------------------- 56.6 57.4 59.4 63.7 66.6 69.0 71.3 72.2 72.5 ( 40.7) ( 40.9) ( 41.4) ( 51.0) ( 52.7) ( 54.8) ( 58.7) ( 58.5) ( 58.5) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 55 N 56 N 57 N 58 N 59 N 60 N 61 N 62 N 63 ---------------------------------------- 57.1 57.8 59.7 63.6 66.4 68.9 71.4 72.5 72.8 ( 41.3) ( 41.5) ( 42.0) ( 50.6) ( 52.2) ( 54.3) ( 59.1) ( 59.0) ( 58.9) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 64 N 65 N 66 N 67 N 68 N 69 N 70 N 71 N 72 ---------------------------------------- 57.5 58.2 59.9 63.5 66.2 68.8 71.6 72.8 73.2 ( 41.8) ( 42.0) ( 42.6) ( 50.2) ( 51.8) ( 53.9) ( 59.5) ( 59.4) ( 59.4) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 73 N 74 N 75 N 76 N 77 N 78 N 79 N 80 N 81 -----------------------------------------Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-901112

EPAC SoftwareCOLDPLATE Example 57.9 58.6 60.2 63.4 66.0 68.6 71.8 73.1 73.6 ( 42.3) ( 42.5) ( 43.1) ( 49.7) ( 51.3) ( 53.4) ( 59.9) ( 59.9) ( 59.8) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 82 N 83 N 84 N 85 N 86 N 87 N 88 N 89 N 90 ---------------------------------------- 58.4 59.0 60.4 63.3 65.8 68.5 71.9 73.4 73.9 ( 42.8) ( 43.1) ( 43.7) ( 49.3) ( 50.8) ( 52.9) ( 60.3) ( 60.3) ( 60.3) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N 91 N 92 N 93 N 94 N 95 N 96 N 97 N 98 N 99 --------------------------------------- 58.8 59.4 60.7 63.2 65.5 68.3 72.1 73.7 74.3 ( 43.3) ( 43.6) ( 44.2) ( 48.8) ( 50.3) ( 52.3) ( 60.7) ( 60.7) ( 60.7) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N100 N101 N102 N103 N104 N105 N106 N107 N108 ---------------------------------------- 59.2 59.7 60.9 63.1 65.3 68.1 72.2 74.0 74.7 ( 43.8) ( 44.1) ( 44.8) ( 48.3) ( 49.8) ( 51.8) ( 61.0) ( 61.1) ( 61.2) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N109 N110 N111 N112 N113 N114 N115 N116 N117 ---------------------------------------- 59.7 60.1 61.1 62.9 65.1 68.0 72.3 74.3 75.0 ( 44.4) ( 44.6) ( 45.3) ( 47.8) ( 49.3) ( 51.3) ( 61.4) ( 61.6) ( 61.6) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N118 N119 N120 N121 N122 N123 N124 N125 N126 ---------------------------------------- 60.1 60.5 61.3 62.8 64.8 67.8 72.5 74.5 75.3 ( 44.9) ( 45.1) ( 45.8) ( 47.3) ( 48.8) ( 50.7) ( 61.8) ( 62.0) ( 62.1) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N127 N128 N129 N130 N131 N132 N133 N134 N135 ---------------------------------------- 60.5 60.8 61.6 62.7 64.6 67.6 72.6 74.8 75.7 ( 45.4) ( 45.6) ( 46.3) ( 46.8) ( 48.3) ( 50.1) ( 62.1) ( 62.4) ( 62.5) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N136 N137 N138 N139 N140 N141 N142 N143 N144 ---------------------------------------- 60.9 61.2 61.8 62.9 64.5 67.5 72.7 75.0 75.9 ( 45.9) ( 46.1) ( 46.6) ( 47.2) ( 47.7) ( 49.6) ( 62.4) ( 62.8) ( 62.9) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N145 N146 N147 N148 N149 N150 N151 N152 N153 ---------------------------------------- 61.1 61.5 62.1 63.0 64.6 67.4 72.8 75.2 76.1 ( 46.3) ( 46.8) ( 47.3) ( 47.8) ( 48.4) ( 49.0) ( 62.8) ( 63.2) ( 63.4) 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W 3.09W N154 N155 N156 N157 N158 N159 N160 N161 N162 ----------------------------------------FLUID TEMPERATURE OUT 63.1VVCONVECTION HEAT LOAD 48.55 AVERAGE COLDPLATE TEMP. 65.7 POWER DIRECTLY ON CP 500.00 NO. OF ITERATIONS REQUIRED 68 ALLOW. NO. OF ITERATIONS 1000 TEMP. RELAXATION CRITERIA .00100 PERCENT ENGERY BALANCE 0.0073 VCopyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-901113

EPAC SoftwareCOLDPLATE ExampleA color contour plot of the cold plate and cooling fluid temperatures is shown below.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-901114

EPAC SoftwareCopyright EPAC-INC.COMCOLDPLATE ExampleFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-901115

EPAC SoftwareCOLDPLATE ExampleDetailed Pressure Drop Results at each Section – 36 inches of tubing, quick disconnects and cold plate – arelisted on the next page. They are contained in the .dlp file.Copyright EPAC-INC.COMFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-901116

*** LEGEND ********************FTYPE123456789101112131415FIN STYLERECTANGULAR FINS10.27 TRI. FINSPF4 PIN FINSPF9 PIN FINS11.44-3/8 WAVY FINS11.5-3/8 WAVY FINS17.8-3/8 WAVY FINS3/32-12.22 L & O FINS1/8-13.95 L & O FINS1/8-15.2 L & O FINS1/4-11.1 L & O FINS1/2-11.94 L & O FINSTRI FIN 12.00TTESTPLANE FIN 11.1FPFLOWSFIN (CONVOLUTED)PIN FINVvMTEPRVOLUME-FT 3/MINVOLUME-GAL/MINMASS FLOW-LB/MINRESULTING LB/MINRESULTING LB/MINRESULTING LB/MINRESULTING LB/MINFLUID(TEMP CP)(TEMP OUT)(DELTA P)(RAM FLOW)TEMPERATURE DEGREE CDIMENSIONS INCHESWEIGHT LBSPRESSURE DROP IN-H20 FOR AIR, LB/IN2 FOR LIQUIDS123456789101112131415161718192021TEMPAIRS SINGLE SIDED HEATINGWATERB BOTH SIDED HEATINGCOOLANOL20COOLANOL25EG H2O 60/40EG H2O 50/50EG H2O 40/60EG H20 30/70FC75GALDEN-HT110HFE7100HFE7500JP5JP8LIQUID R134APG H2O 20/80POLYALPHAOLEPHINSKYDROL 500PG H2O 50/50ENGINE OILMYSTERY FLUIDEPAC SoftwareA NUMBER FOLLOWED BY A DASH (-) INDICATES THIS VARIABLE IS NOT USED DURING THIS RUNFLOWLOSS INPUT AND RESULTS DATA - PRESSURE DROP ********** LEGEND ********************UNITSCOMMENTSWIDTH OR DIA - INCHESHEIGHT- INCHESLENGTH- INCHESM-DOT- LB/MINRHO-XXX- LB/FT3DP-XXXPRESS-XAREA-INALTT-XXXP-XXXARAMI-SQ. INCHESFEETDEGREE CLB/IN2SQ. INCHES- IN-H2O FOR AIR, LB/IN2 FOR LIQUIDS- IN-H20 FOR AIR, LB/IN2 FOR LIQUIDS1 THE FRICTION FACTOR f IS MULT. BY 4 WITHIN COLDPLATE2 DP-KI/KE INCLUDES THE AREA CHANGE EFFECTCOLDPLATE ExampleFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-9011Results for Class Work #6 - continuedCopyright EPAC-INC.COMSUMMARY OF INPUTS AND RESULTS FOR ISOTHERMAL ANALYSIS AND MAXIMUM TEMPERATURE FOR NONISOTHERMAL ANALYSIS

COLDPLATE ExampleFOR MORE INFORMATION, VISIT OUR WEB SITE: EPAC-INC.COM Tel: (603) 533-9011**************** INPUT ***************** **************************************** RESULTS ***************************************** INLET FLOWLOSS INPUT AND RESULTS DATAWIDTH OR DIA HEIGHT LENGTHKM-DOT fRHO-INRHO-EX MACH-IN MACH-EX DP-ACCDP-fDP-KDP-TOT PRESS-I PRESS-E 0.3750.00036.00 0.0001.800 0.2404 67.2380 67.2380 0.00 3.6001.800 0.0000 67.2380 67.2380 0.0000.0000.0000.0000.0090.00959.7759.76 SUB-TOTALS0.0000.2270.0090.236 THE TOTAL PRESSURE DROP ACROSS THE INLET IS0.236 COLDPLATE FLOWLOSS INPUT AND RESULTS DATAWIDTH OR DIA HEIGHT LENGTH K IN/EX M-DOT fRHO-INRHO-EX MACH-IN MACH-EX DP-ACCDP-f DP-KI/KE DP-TOT PRESS-I PRESS-E 1.3330.37524.00 0.9451.800 0.9276 67.2380 66.5304 0.0000.0000.0000.0810.0000.08159.7659.68-0.836 0.000 EXIT FLOWLOSS INPUT AND RESULTS DATAWIDTH OR DIA HEIGHT LENGTHKM-DOT fRHO-INRHO-EX MACH-IN MACH-EX DP-ACCDP-fDP-KDP-TOT PRESS-I PRESS-E 0.3750.0000.00 3.6001.800 0.0000 66.5304 66.5304 0.0000.0000.0000.0000.0090.00959.6859.67 SUB-TOTALS0.0000.0000.0090.009 THE TOTAL PRESSURE DROP ACROSS THE EXIT IS0.009 ***********************ACCELERATION TOTAL0.000FRICTIONAL TOTAL0.307FITTING OR TURN TOTAL0.018THE TOTAL PRESSURE DROP ACROSS THE WHOLE SYSTEM ****************************EPAC SoftwareCopyright **** INPUT ***************************************** ****************** RESULTS ********************* ------- FIN STYLE ------ -------- TEMP -------FTYPE FHEIGHT FTHICKFDENSITY ITHICK TEMPIN TEMPAMB TEMPWALL FLOWS FLUID TEMPOUT TCPISO TCPMAX DELTAP WEIGHT TMAX/NODEPDIAPSPACET PSPACEL ---------------------------------------- .375.006F0.00010.000F0.00037.0150.00.01.80M 21 63.0S 68.3S77.6S0.330.83

EPAC Software COLDPLATE Example Serpentine Example This example builds a model of a 3 pass (serpentine) cold plate shown below. The example demonstrates how to add a new cooling fluid and how to account for the added pressure drop of cooling lines and quick