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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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parentb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff)
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+clc;
+clear all;
+disp("Steady state conduction")
+disp("thickness of wall : L")
+disp("temperature of surfaces : t1, t2")
+disp("relation of variation of thermal conductivity : k= k0*t^2")
+disp("i) Expression for heat conduction through wall")
+disp("Heat conduction through plane wall is given by Q = -k*A*dt/dx")
+disp("Heat conduction through plane wall is given by Q = -k0*t^2*A*dt/dx")
+disp("By rearranging and integrating within limits t1 to t2, we get :")
+disp("Required expression, Q =k0*A(t1^3-t2^3)/(3*L)")
+
+disp("ii) Temperature at which mean thermal conductivity be evaluated in order to get the same heat flow by its substitution in simplified Fourier''s equation")
+disp("from above equation k0*A(t1^3-t2^3)/(3*L) = km*A(t1-t2)/L")
+disp("from above equation k0*A(t1^3-t2^3)/(3*L) = k0*tm^2*A(t1-t2)/L")
+disp("thus required temperature is , tm =(((t1^2+t2^2+t1*t2)/3)^0.5")
+