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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 5.7 Page 293 \n'); //Example 5.7
+// Spherical Tumor
+
+//Operating Conditions
+
+k = .5; //[W/m.K] Thermal Conductivity Healthy Tissue
+kappa = .02*10^3; //[m] extinction coefficient
+p = .05; // reflectivity of skin
+D = .005; //[m] Laser beam Dia
+rho = 989.1 ; //[kg/m^3] Density
+c = 4180 ; //[J/kg.K] Specific Heat
+Tb = 37+273; //[K] Temp of healthy tissue
+Dt = .003 ; //[m] Dia of tissue
+d = .02 ; //[m] depth beneath the skin
+Ttss = 55+273 ; //[K] Steady State Temperature
+Tb = 37+273 ; //[K] Body Temperature
+Tt = 52+273 ; //[K] Tissue Temperature
+q = .170 ; //[W]
+
+//Case 12 of Table 4.1
+q = 2*%pi*k*Dt*(Ttss-Tb);
+
+//Energy Balancing
+P = q*(D^2)*exp(kappa*d)/((1-p)*Dt^2);
+
+//Using Eqn 5.14
+t = rho*(%pi*Dt^3/6)*c*(Tt-Tb)/q;
+
+alpha=k/(rho*c);
+Fo = 10.3;
+//Using Eqn 5.68
+t2 = Fo*Dt^2/(4*alpha);
+
+printf("\n (a) Heat transferred from the tumor to maintain its surface temperature at Ttss = 55 degC is %.2f W \n\n (b) Laser power needed to sustain the tumor surface temperautre at Ttss = 55 degC is %.2f W \n\n (c) Time for tumor to reach Tt = 52 degC when heat transfer to the surrounding tissue is neglected is %.2f sec \n\n (d) Time for tumor to reach Tt = 52 degC when Heat transfer to thesurrounding tissue is considered and teh thermal mass of tumor is neglected is %.2f sec" ,q,P,t,t2);
+
+//END \ No newline at end of file