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+//Exa 3.13

+clc;

+clear;

+close;

+//given data

+k=32;// in W/m^2 degree C

+h=14.8;// in W/m^2 degree C

+t_o=480;// in degree C

+t_i=55;// in degree C

+t_a=20;// in degree C

+d=2.5*10^-2;// in m

+rho=%pi*d;// in m

+Ac=%pi*d^2/4;// in m^2

+m=sqrt(h*rho/(k*Ac));

+disp("In this case, the shaft heat from the pump towards motor");

+disp("The temperature distribution considering the shaft as a fin insulated at the tip is given by")

+disp("Q/Q_o= (t-t_a)/(t_o-t_a) = cosh(m(L-x))/cosh(m*L)")

+// From (t-t_a)/(t_o-t_a) = cosh(m(L-x))/cosh(m*L)

+L=acosh((t_o-t_a)/(t_i-t_a))/m;  // at x=L,t=t_i

+disp("Length of shaft specified between the motor and the pump is : "+string(L)+" meter");