内可逆正反向两热源循环复杂传热规律下生态学最优性能

Ecological optimal performances of endoreversible direct and reverse two-heat-reservoir cycles with complex heat transfer law

以反映循环火用输出率和熵产率之间最佳折衷的生态学准则为目标,研究了复杂传热规律q∝[Δ(Tn)]m(包括了牛顿传热规律、线性唯象传热规律、辐射传热规律、Dulong-Petit传热规律、广义对流传热规律和广义辐射传热规律)下内可逆正反向两热源循环(包括内可逆卡诺热机、内可逆卡诺制冷机和内可逆卡诺热泵)的生态学最优性能,得到了生态学函数与效率、制冷系数和供热系数之间的基本优化关系,所得结果具有一定的普适性和包容性。

The optimal ecological performances of the endoreversible direct and reverse two-heat- reservoir cycles, including endoreversible Carnot heat engine, endoreversible Carnot refrigerator and endoreversible Carnot heat pump, based on a new generalized heat transfer law q∝[△（T-n）]m, wss derived by taking the ecological optimization criterion as the objective, which consists of maximizing a function representing the best compromise between the exergy output rates and entropy generation rates of the cycles. The heat transfer law q cc [A（T＂）]~ includes Newtonian heat transfer law, linear phenomenological heat transfer law, radiative heat transfer law, Dulong-Petit heat transfer law, generalized convective heat transfer law and generalized radiative heat transfer law. The fundamental optimal relations between the ecological objective function and thermal efficiency of the heat engine, coefficient of performances of the refrigerator and the heat pump were obtained. The results include those obtained in many literatures.