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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+clear;
+clc;
+printf('FUNDAMENTALS OF HEAT AND MASS TRANSFER \n Incropera / Dewitt / Bergman / Lavine \n EXAMPLE 3.11 Page 158 \n'); //Example 3.11
+// Study of Fuel-cell fan system
+
+Wc =.05; //[m] width
+H = .026; //[m] height
+tc = .006; //[m] thickness of cell
+V = 9.4; //[m/sec] vel of cooling air
+P = 9; //[W] Power generated
+C = 1000; //[W/(m^3/s)] Ratio of fan power consumption to vol flow rate
+k = 200; //[W/m.K] alumunium
+Tsurr = 25+273.15; //[K] Temperature of surrounding air
+Tc = 56.4+273.15; //[K] Temp of fuel cell
+Rtcy = 10^-3; //[K/W] Contact thermal resistance
+tb = .002; //[m] thickness of base of heat sink
+Lc = .05; //[m] length of fuel cell
+//Dimensions of Fin
+tf = .001; //[m] Thickness
+Lf = .008; //[m] Length
+
+Vf = V*[Wc*(H-tc)]; //[m^3/sec] Volumetric flow rate
+Pnet = P - C*Vf;
+
+
+P = 2*(Lc+tf);
+Ac = Lc*tf;
+N = 22;
+a=(2*Wc - N*tf)/N;
+h = 19.1; ///[W/m^2.K]
+q = 11.25; //[W]
+m = (h*P/(k*Ac))^.5;
+Rtf = (h*P*k*Ac)^(-.5)/ tanh(m*Lf);
+Rtc = Rtcy/(2*Lc*Wc);
+Rtbase = tb/(2*k*Lc*Wc);
+Rtb = 1/[h*(2*Wc-N*tf)*Lc];
+Rtfn = Rtf/N;
+Requiv = [Rtb^-1 + Rtfn^-1]^-1;
+Rtot = Rtc + Rtbase + Requiv;
+
+Tc2 = Tsurr +q*(Rtot);
+
+printf("\n\n (a) Power consumed by fan is more than the generated power of fuel cell, and hence system cannot produce net power = %.2f W \n\n (b) Actual fuel cell Temp is close enough to %.1f degC for reducing the fan power consumption by half ie Pnet = %.1f W, we require 22 fins, 11 on top and 11 on bottom.",Pnet, Tc2-273, C*Vf/2);
+
+//END \ No newline at end of file