最大制冷功率时的效率
On the efficiency at maximum cooling power
摘要：
热机作为发电机工作时的最大功率效率（EMP）是有限时间热力学的基石之一，Curzon-Ahlborn效率$η_{\rm CA}$被认为是一个普遍的上限。然而，对于作为制冷机工作的热机的最大冷却功率效率（EMCP），还没有推导出有效的对应于$η_{\rm CA}$的公式。在这封信中，我们分析了未能获得这样一个约束的原因，我们证明，尽管引入了几个优化标准，最大冷却功率条件应被视为真正的等效最大功率条件在有限时间热力学框架。然后，我们提出并讨论了解析表达式的EMCP在exoreversible冰箱的特定情况下。
英文摘要：
The efficiency at maximum power (EMP) of heat engines operating as generators is one corner stone of finite-time thermodynamics, the Curzon-Ahlborn efficiency $η_{\rm CA}$ being considered as a universal upper bound. Yet, no valid counterpart to $η_{\rm CA}$ has been derived for the efficiency at maximum cooling power (EMCP) for heat engines operating as refrigerators. In this Letter we analyse the reasons of the failure to obtain such a bound and we demonstrate that, despite the introduction of several optimisation criteria, the maximum cooling power condition should be considered as the genuine equivalent of maximum power condition in the finite-time thermodynamics frame. We then propose and discuss an analytic expression for the EMCP in the specific case of exoreversible refrigerators.
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