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The purpose of this study is to find the optimal designing parameters of a plate-fin heat sink under natural convection using the Particle Swarm Optimization (PSO) Algorithm. Minimization of entropy generation rate under given space restrictions is considered as objective functions. All relevant design parameters for plate-fin heat sinks are the fin height, fin number, fin thickness. The constraints of the variables are set according to the suggestion structure design. And this three variables influence on entropy generation are presented. In the present study, In order to prevent the size of the heat sink is too large, we use the penalty function method in this study. Then the code for the PSO is written in MATLAB. On this basis, the optimal size of heat sink was obtained through the particle swarm algorithm for numerical simulation of this model: fin height is 44.8mm, number of fins is 25, fin thickness is 0.6mm and base temperature is 342.6241k.

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