线性唯象传热下的斯特林制冷机的Ω函数优化

Optimization of Ω function of stirling refrigerator with linear phenomenological heat transfer

以线性唯象传热规律为基础,建立了不可逆斯特林制冷机的相关模型,结合热阻、热漏、回热损失等一些不可逆因素,将能使性能系数和制冷率达到平衡的Ω函数作为目标,对斯特林制冷机进行有限时间热力学优化。数值计算的结果表明:不可逆因素A1和热漏越小,Ω函数所取得的极值越大。在温比相同的条件下,制冷率和性能系数不能在同一工况下取得最大值,故而通过协调优化,使Ω函数在某一工况下存在极大值,进而实现制冷循环性能最佳,并最终对实际斯特林制冷机的发展和改进提供理论指导意义。

Based on the linear phenomenological heat transfer law, the related model of the irreversible Stirling refrigerator is established. Combining some irreversible factors such as thermal resistance, heat leakage and heat recovery loss, the performance coefficient and the cooling rate can be balanced. The Ω function performs as a target to improve finite-time thermodynamic optimization of the Stirling refrigerator. The numerical results show that the smaller the irreversible factor A1 and the heat leak, the larger the extreme value obtained by the Ω function. Under the same conditions of temperature ratio, the refrigeration rate and coefficient of performance cannot achieve the maximum value under the same working condition. Therefore, through coordinated optimization, the Ω function has a maximum value under a certain working condition, and the refrigeration cycle performance is best. Finally, it provides theoretical guidance for the development and improvement of the actual Stirling refrigerator.