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+clc;
+clear;
+printf("\t\t\tChapter4_example1\n\n\n");
+// determination of response time
+k=12; // thermal conductivity in BTU/(hr.ft.degree Rankine)
+c=0.1; // specific heat in BTU/(lbm.degree Rankine)
+D=0.025/12; // diameter in ft
+density=525; // density in lbm/cu.ft
+hc=80; // convective coefficient in BTU/(hr. sq.ft. degree Rankine)
+T_i=65; // intial temperature in degree fahrenheit
+T_inf=140; // fluid temperature in degree fahrenheit
+As=3.14*D^2; // surface area in sq.ft
+Vs=3.14*D^3/6; // volume in cu.ft
+reciprocal_timeconstant=(hc*As)/(density*Vs*c);
+printf("\nThe reciprocal of time constant is %.1f /hr",reciprocal_timeconstant);
+// selecting T=139 degree fahrenheit as T=140 gives an infinite time through the equation (T-T_inf)/(T_i-T_inf)=exp(-hc*As/density*Vs*c)t
+T=139;
+t=log((T-T_inf)/(T_i-T_inf))/(-reciprocal_timeconstant);
+printf('\n\nThe response time of the junction is %.1f s",t*3600);