Optimization of a Trapezoidal Profile Annular Fin

Abstract

The article presented here is an analysis that leads to the optimization for a design of an annular trapezoidal fin using a new approach to a two-dimensional analytical method. A comparison between the new analytical approach and the generally used method for a rectangular annular fin is made to show the exactness of the new method of approach. For an annular trapezoidal fin, the heat loss, fin tip radius, and fin base height are optimized as a function of the ratio of convection characteristic numbers, fin shape factor, dimensionless fin volume, dimensionless fin base radius, and convection characteristic number.