Numerical study of optimum pin-fin heat sink with air impinging cooling by using taguchi method

Abstract

Paper presented at the 7th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Turkey, 19-21 July, 2010.This study presents the numerical simulation of optimum pin-fin heat sink with air impinging cooling by using Taguchi method. L9 ( 34 ) orthogonal array is selected as a plan for the four design-parameters with three levels. The governing equations are discretized by using control-volume-based-finite-difference method with power-law scheme on an orthogonal non-uniform staggered grid. The coupling of the velocity and the pressure terms of momentum equations are solved by SIMPLEC algorithm. The k -ɛ two-equations turbulence model is employed to describe the turbulent structure and behavior. The parameters studied include fin height H (35 mm- 45mm), inter-fin spacing a (2 mm - 6.4 mm), inter-fin spacing b (2 mm - 6.4 mm), inter-fin spacing c (2 mm - 6.4 mm), and Reynolds number (Re =10000- 25000). The objective of this study is to examine the effects of the fin spacings and fin height on the thermal resistance and then find the optimum group by using Taguchi method It's found that the fin spacings from center to edge of the heat sink should be gradually extended, and the fin's height is the longer the better. Then, the optimum group is H3a1b2c3 • In addition, the effects of parameters are ranked by importance as a , H , c , and b .