Question
must solve using matlab thank you. The steady-state energy balance equation for a thin long cylindrical rod that is not insulated along its length is
must solve using matlab thank you.
The steady-state energy balance equation for a thin long cylindrical rod that is not insulated along its length is given as follows:
d^2T/dx^2 + h(Ta-T)=0
Where,
T Temperature along the length of the rod,
Ta Temperature of the surrounding air,
h heat transfer coefficient, m^-2
The rod is 10 m in length. The temperature at the two ends of the rod are T(0)=40 and T(0)=200 while the ambient temperature is 20 . The heat transfer coefficient h=.01m^-2
Determine the temperature profile in the rod using
a)The finite difference method. Compare your solution with changeinx=1,.2,.1
b)The shooting method. You can use built-in MATLAB ode solver.
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