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+clc;
+clear all;
+disp("Ingot velocity ")
+D=10/100;//m Diameter of cylindrical ingot
+L=30/100;//m
+ti=1250;// degree C
+t=800;// degree C
+ta=90;// degree C
+k=40;// W/m.C
+h=100;// W/m^2.C
+a=1.16*10^(-5);//m^2/s
+Lc=D*L/(4*L+2*D);//m
+Lc
+Bi=h*Lc/k;
+disp(Bi,"Bi =")
+//(t-ta)/(ti-ta)=exp(-a*h*As*tau/(k*V))
+//h*As/rho*V*c =-a*h*As/(k*V)=-a*h*tau/(k*Lc)
+X=-a*h/(k*Lc);
+////(t-ta)/(ti-ta)=exp(X*tau)
+tau=(1/X)*log((t-ta)/(ti-ta));
+disp("S", tau,"time required tau =")
+Lf=6;//m furnace length
+vel=Lf/tau;
+disp("m/s",vel,"velocity of ingot passing through furnace =")
+