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    基于多目标遗传算法的微通道结构优化

    Structural optimization of microchannels based on multi-objective genetic algorithm

    • 摘要: 采用多目标遗传算法对圆形凹穴及内肋微通道进行结构优化,根据模拟结果由响应平面近似法构建热阻和泵功的目标函数,然后建立以微通道结构参数为变量的多目标遗传优化的数学模型。由非支配排序遗传算法NSGA-Ⅱ计算得到热阻及泵功的Pareto优化解集,用k-means聚类法对最优解集进行聚类得到4个代表性解,并用强化传热因子评价其综合传热性能。结果表明,热阻和泵功目标函数的多元统计系数R2分别为0.932 9和0.996 6,说明拟合的函数精确度高。采用优化后的通道结构(e1=0.036 8 mm,e2=0.019 3 mm)的温度场分布更均匀,综合传热性能更优(强化传热因子η=1.23)。当热阻较大或泵功较大时,其综合传热效果不如热阻及泵功较均匀时的工况。

       

      Abstract: A multi-objective genetic algorithm was used to optimize the structure of microchannels with circular cavities and internal ribs. The objective functions of thermal resistance and pumping power were established based on CFD simulation results by response surface methodology (RSM), and a multi-objective genetic model was developed to optimize the structure parameters of microchannels. Pareto front of thermal resistance and pumping power was calculated by non-dominated sorting genetic algorithm NSGA-Ⅱ and representative solutions were obtained by k-means clustering. Moreover, the comprehensive heat transfer performance in microchannels was evaluated using thermal enhanced factor. The calculation results show that the multivariate statistical coefficients R2 of thermal resistance and pumping power objective function are 0.932 9 and 0.996 6, respectively, which means that the fitting has high accuracy. The more uniform temperature distribution could be obtained with higher thermal enhanced factor of 1.23 in the microchannel with optimized structure. The comprehensive heat transfer performance in the microchannel with higher thermal resistance or pumping power is worse than that in the microchannel with moderate thermal resistance and pumping power.

       

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