Mechanical Engineering Faculty Research


Analytical Solutions for Optimization of Convective Longitudinal Two Dimensional Trapezoidal Fins

Document Type


Publication Date

Summer 6-25-2003


This study analyzes and optimizes a design for a convective straight trapezoidal fin using two-dimensional analytical method. Temperature distribution along the fin height in addition to fin lkength is presented to show the two-dimensional effect. The heat transfer, fin lenght, and fin height are optimized as a function of the ratio of convection characteristic numbers, fin shape factor, fin volume, and the overall wall resistance. Corresponding to the optimum conditions for several fin volumes, the fin effectiveness is shown as a function of convection characteristic number over the fin surface and fin shape factor.

Publication Title

Fluid Dynamics and Co-located Conferences


36th AIAA Thermophysics Conference