Problem 3. Heat transfer in a fin as shown in figure is given by the following BVP:
d2T hp (T-T)=0;T(x=0)=To,T(x=L)=TL dx2 KA
where h=heat transfer coefficient K =Thermal conductivity p =Perimeter of fin A=Cross-sectional area of fin T.o = Ambient temperature
T=0
200
T=100
Following data is given:
Using shooting method, find the temperature distribution along the length of the rod. Use explicit Euler method with stepsize h = 0.5 to solve the 1st order system of ODEs in shooting method.