1. Consider heat conduction in a uniaxial rod surrounded by a fluid. The left end of the rod is at Tq. g)

The free stream temperature is 7°°. There is convective heat transfer across the surface of the rod as well over the right end. The governing equation and boundary conditions are as follows:

where k is the thermal conductivity, h is the convection coefficient, and A and P are the ar and circumference of the rod cross-section, respectively. Numerical values (SI units): L 0.3, k = 180, h = 12, To = 700, T00 = 400, A = 10~4, P = 4 x 10~2. Use three finite el ments to solve the problem. Use elements of lengths 0.05, 0.1, and 0.15, respectively.