Question: The upper and lower surfaces of a triangular fin of length 90 mm transfer heat with a coefficient h = 200 W/m2 ·K to an ambient at temperature T∞ = 20 °C. The base temperature of the fin is maintained at T0 = 120 °C (Fig.). The thermal conductivity of the fin material is k = 50 W/m·K. Write the finite-difference formulation of the problem by considering a nodal spacing of 15 mm. Determine the tip temperature of and the heat transfer to the fin, and the efficiency of the fin, by the method of iteration.
