热特性参数可变时抛物线型截面环肋传热的最优化研究
A Study on Heat Transfer of the Optimization in Circular Fins of Parabolic Profile with Variable Thermal Parameters
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摘要: 肋片传热的最优化的传统处理方法是当执行一定的传热任务时,具有最少的肋片材料消耗(投资).最少重量的冷却肋片是具有抛物线型的截面.本文应用不变嵌入原理研究了当热特性参数可变时抛物线型截面环肋传热的最优几何尺寸,同时还对两个主要的物理参数,即导热系数变化参数α和放热系数变化指数m对最优几何尺寸的影响进行研究.所得结果对工程设计具有现实指导意义.Abstract: Circular fins are used extensively in heat exchange devices to increase the heat transfer.For economic purposes,the traditional approach to the optimization of fins consists of minimizing the comsumption(investment) of fin material for the execution of a specified heat transfer task.The minimum weight cooling fin has optional profile to be a concave parabola.Therefore,the optimum geometric dimensions of circular fins of parabolic profile with variable thermal parameters are studied.The effect of the two pertinent physical parameters-thermal conductivity variation parameter a and the index of the heat transfer coefficient variation mupon the optimum geometric dimensions is aliso studied.The results presented can be used as the design guideline for engineering practice.
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