A pin fin with two constant temperatures for both the fin base and the tip boundary conditions is analyzed using both one-dimensional (1-D) and two-dimensional (2-D) analytical methods. The temperatures along the fin length obtained from both methods are compared. The relative error of heat loss between the 1-D and 2-D analytical methods is presented as a function of fin radius, fin length, and the convection characteristic number. The heat loss demonstrated by the 2-D method is presented as a function of fin radius, fin length, the convection characteristic number, and fin tip temperature. It is found that the effect of the convection characteristic number on the relative error of heat loss is more remarkable than the effects of the fin radius and the fin length on the relative error of heat loss.

convection characteristic number, relative error of heat loss, fin tip temperature, fin radius, fin length.