Abstract

In this paper, the thermal behavior of heat sinks with parabolic fins (convex type) in an analytical method is investigated. The considered heat sinks are used for thermal control in LED lamps. To evaluate cooling performance of these devices, the energy balance of considered heat sinks with fins is evaluated. In the derived equation, the effect of mass transfer and thermal radiation is considered and the thermal conductivity is varied with temperature. An efficient analytical method—differential transformation method—is used to the analytical solution of the governing equations. Comparison of the analytical and numerical solutions shows excellent accuracy of the selected analytical solution. Based on the proposed analytical solution, the effect of operational and geometrical parameters on the system thermal management is evaluated. Finally, a multi-objective optimization is performed to maximize the thermal efficiency and minimize the entropy generation.

中文翻译：

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基于熵产生最小化概念的LED灯泡热管理系统多目标优化

摘要

本文以一种分析方法研究了带有抛物线形翅片（凸型）的散热器的热行为。所考虑的散热器用于LED灯的热控制。为了评估这些设备的冷却性能，对考虑的带有散热片的散热器的能量平衡进行了评估。在导出的方程式中，考虑了传质和热辐射的影响，并且热导率随温度而变化。一种有效的分析方法（微分变换方法）用于控制方程的解析解。分析解决方案和数值解决方案的比较显示了所选分析解决方案的出色准确性。基于所提出的解析解决方案，评估了运行参数和几何参数对系统热管理的影响。最后，