用非平衡热力学与有限时间热力学相结合的方法,考虑装置内部的Seebeck效应、Peltier效应、焦耳热效应、傅立叶效应及装置与热源间传热损失,建立了牛顿传热规律下热电发电机驱动热电制冷机联合系统的有限时间热力学模型,得到装置制冷率和制冷系数的解析式.在装置热电单元总数和换热器总换热面积一定的条件下,优化热电单元和换热面积的分配,获得装置的最大制冷率和制冷系数,并着重分析了热电发电机高温热源温度和热电制冷机制冷空间温度对装置最优性能的影响.结果表明,优化可以有效地提高装置制冷率和制冷系数,增大装置极限制冷温差,拓宽装置工作范围.
A finite-time thermodynamic model of a thermoelectric generator-driven thermoelectric refrigerator including Seebeck effect,Peltier effect,Joule heat effect,Fourier effect and external heat transfer obeying Newton's heat transfer 1aw is built with an combination of finite time thermodynamics and non-equilibrium thermodynamics.Two analytical formulae for the cooling load and the COP are derived.For fixed total number of thermoelectric elements and total heat transfer surface area of heat exchangers,the ratio of number of thermoelectric elements,and the allocations of the heat transfer surface area are optimized for maximum cooling load and maximum COP.Effects of generator heat source temperature and refrigerator cooling temperature on the optimal performance of the combined system are analyzed.The results show that the optimal design of the device can improve the cooling load and COP,and increase the extreme cooling temperature difference,which means a wider operating range.
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