Abstract
Fins are an important means of heat transfer enhancement, which can increase the heat transfer area, reduce the heat resistance of convection heat transfer and enhance the heat transfer capacity of equipment. The analytical solutions of rectangular fins, trapezoidal fins and triangular fins in one dimension are given by using the direct solution method. Then the heat conduction of fins is discretized by the finite volume method (FVM). By solving the discrete linear equations, the numerical solutions of temperature distribution on the surface of fins with constant property and variable property are obtained. Based on the law of temperature distribution, the relationship between the length, the height and the width of fins and fin efficiency is explored, and its economic efficiency is discussed. The results show that the temperature gradient of rectangular fins is the smallest, and that of triangular fins is the most significant. For various shapes of fins, the most effective way to increase heat dissipation is to increase the width of the fin, and for the fin whose machining length is 1 unit, the efficiency of the first 20%∼30% part of the maximum length changes significantly, which can be used as the focus of cost optimization.
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