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diff --git a/530/CH2/EX2.12/example_2_12.sce b/530/CH2/EX2.12/example_2_12.sce new file mode 100755 index 000000000..9d0579278 --- /dev/null +++ b/530/CH2/EX2.12/example_2_12.sce @@ -0,0 +1,50 @@ +clear ;
+clc;
+
+// A Textbook on HEAT TRANSFER by S P SUKHATME
+// Chapter 2
+// Heat Conduction in Solids
+
+// Example 2.12
+// Page 67
+printf("Example 2.12, Page 67 \n\n")
+
+a = 0.12 ; // [m]
+
+T = 400 ; // [C]
+To = 25 ; //[C]
+t = 100/60 ; // [hour]
+h = 10 ; // [W/m^2 K]
+k = 1.0 ; // [W/m K]
+alpha = 3.33*10^-3 ; // [m^2/h]
+// using fig 2.18 and eqn 2.7.20
+
+x1 = h*a/k ;
+x2 = k/(h*a);
+x3 = alpha*t/a^2;
+
+// Let ratio_x = theta/theta_o for x direction, from fig 2.18
+ratio_x = 0.82 ;
+
+// Similarly, for y direction
+ratio_y = 0.41;
+
+// Similarly, for z direction
+ratio_z = 0.30;
+
+// Therefore
+total_ratio = ratio_x*ratio_y*ratio_z ;
+
+T_centre = To + total_ratio*(T-To) ; // [degree C]
+printf("Temperature at the centre of the brick = %f degree C \n\n",T_centre);
+
+// Alternatively
+printf("Alternatively, obtaining Biot number and values of lambda_1_b and using eqn 2.7.20, we get \n")
+
+ratio_x = 1.1310*exp(-(0.9036^2)*0.385);
+ratio_y = 1.0701*exp(-(0.6533^2)*2.220);
+ratio_z = 1.0580*exp(-(0.5932^2)*3.469);
+ratio = ratio_x*ratio_y*ratio_z;
+
+T_centre = To + total_ratio*(T-To) ; // [degree C]
+printf("Temperature at the centre of the brick = %f degree C \n",T_centre);
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