Question

The extent to which the tip condition affects the thermal performance of a fin depends on the fin geometry and thermal conductivity, as well as the convection coefficient. Consider an alloyed aluminum (k = 180 W/m*K) rectangular fin of length L = 10 mm, thickness t = 1 mm, and width w >> t. The base temperature of the fin is Tb = 100°C, and the fin is exposed to a fluid of temperature T∞ = 25°C. Assuming a uniform convection coefficient of h = 100 W/m2*K over the entire fin surface, determine the fin heat transfer rate per unit width qf’, efficiency ηf, effectiveness εf, thermal resistance per unit width R’t,f, and the tip temperature T(L) for the tip conditions: convection heat transfer, adiabatic, and infinitely long.

Answer 1