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Optimal paths for minimizing entransy dissipation during heat transfer processes with generalized radiative heat transfer law

机译：具有广义辐射热传递定律的最小化传热过程的最佳路径

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摘要

A common of finite-time heat transfer processes between high- and low-temperature sides with generalized radiative heat transfer law [q α Δ(T~n)] is studied in this paper. In general, the minimization of entropy generation in heat transfer processes is taken as the optimization objective. A new physical quantity, entransy, has been identified as a basis for optimizing heat transfer processes in terms of the analogy between heat and electrical conduction recently. Heat transfer analyses show that the entransy of an object describes its heat transfer ability, as the electrical energy in a capacitor describes its charge transfer ability. Entransy dissipation occurs during heat transfer processes, as a measure of the heat transfer irreversibility with the dissipation related thermal resistance. Under the condition of fixed heat load, the optimal configurations of hot and cold fluid temperatures for minimizing entransy dissipation are derived by using optimal control theory. The condition corresponding to the minimum entransy dissipation strategy with Newtonian heat transfer law (n = 1) is that corresponding to a constant heat flux rate, while the condition corresponding to the minimum entransy dissipation strategy with the linear phenomenological heat transfer law (n = -1) is that corresponding to a constant ratio of hot to cold fluid temperatures. Numerical examples for special cases with Newtonian, linear phenomenological and radiative heat transfer law (n = 4) are provided, and the obtained results are also compared with the conventional strategies of constant heat flux rate and constant hot fluid (reservoir) temperature operations and optimal strategies for minimizing entropy generation. Moreover, the effects of heat load changes on the optimal hot and fluid temperature configurations are also analyzed.
机译：本文研究了具有普遍辐射热传递定律[qαΔ（T〜n）]的高温侧与低温侧之间有限时间的热传递过程。通常，将传热过程中熵产生的最小化作为优化目标。最近根据热与电之间的类比，确定了新的物理量entransy作为优化传热过程的基础。传热分析表明，物体的传递描述了其传热能力，因为电容器中的电能描述了其电荷传递能力。传热耗散发生在传热过程中，作为与传热有关的热阻的传热不可逆性的度量。在固定热负荷的条件下，运用最优控制理论推导了使冷，热流体温度最小化的最佳配置，以最大程度地减小传递损耗。与牛顿热传递定律（n = 1）的最小包围耗散策略相对应的条件是与恒定热通量率相对应的条件，而与线性现象学热传递定律（n =- 1）对应于恒定的冷热流体温度比。提供了具有牛顿，线性现象学和辐射热传递定律（n = 4）的特殊情况的数值示例，并将获得的结果与恒定热通量速率和恒定热流体（储层）温度操作以及最佳操作的常规策略进行了比较。最小化熵生成的策略。此外，还分析了热负荷变化对最佳热和流体温度配置的影响。

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