Optimum design parameters of Pin-Fin heat sink using the grey-fuzzy logic based on the orthogonal arrays

The effects of design parameters and the optimum design parameters for a Pin-Fin heat sink (PFHS) with the multiple thermal performance characteristics have been investigated by using the grey-fuzzy logic based on the orthogonal arrays. Various design parameters, such as height and diameter of pin-fin and width of pitch between fins are explored by experiment. The average convective heat transfer coefficient, thermal resistance and pressure drop are considered as the multiple thermal performance characteristics. Through the grey-fuzzy logic analysis, the optimization of complicated multiple performance characteristics can be converted into the optimization of a single grey-fuzzy reasoning grade. In addition, the analysis of variance (ANOVA) is applied to find the effect of each design parameter on the each or all thermal performance characteristics. Then the results of confirmation test with the optimal level constitution of design parameters have obviously shown that this logic approach can effective in optimizing the PFHS with the multiple thermal performance characteristics.