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+clc;
+clear all;
+disp("increase in heat dissipation")
+k=0.174;// W/(m*C)
+r1=6.5/2;//mm
+ho=8.722;// W/(m^2*K)
+rc=1000*k/ho;//mm
+L=1;//m
+t1=60;// degree C
+tair=20;// degree C
+disp("mm",rc,"critical radius of insulation =")
+t=rc-r1;
+disp("mm",t,"minimum insulation of thickness t = ")
+
+disp("i) without insulation ")
+Rthcv=1000/(ho*r1);
+Q1=2*3.1416*L*(t1-tair)/Rthcv;
+disp("W/m",Q1," heat flow without insulation Q1 =")
+Rthcd=(log(rc/r1))/k;
+Rthcv=1000/(ho*rc);
+Rth2=Rthcd+Rthcv;
+Q2=2*3.1416*L*(t1-tair)/Rth2;
+disp("W/m",Q2," heat flow with insulation Q2 =")
+change=(Q2-Q1)*100/Q1;
+disp("%",change,"Percent increase in heat dissipation =")