Optimal low symmetric dissipation Carnot engines and refrigerators
Optimal low symmetric dissipation Carnot engines and refrigerators
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DOI：
10.1103/physreve.85.010104
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发表时间：
2012-01-11
影响因子：
2.4
通讯作者：
Roco, J. M. M.
中科院分区：
文献类型：
--
作者：
de Tomas, C.;Calvo Hernandez, A.;Roco, J. M. M.
本文提出了卡诺热机和卡诺制冷机的统一优化准则。它包括最大化工作系统吸收的热量乘以设备（发动机或制冷机）单位时间的效率的乘积。该判据适用于低对称耗散卡诺热机和制冷机。对于发动机，该标准与最大功率标准一致，然后恢复Curzon-Ahlborn效率eta（CA）= 1 - root T-c/T-h，其中T-h和T-c分别是热储库和冷储库的温度[Esposito、Kawai、Lindenberg和货车den Broeck，Phys. Rev. Lett. 105，150603（2010）]。对于制冷机，该准则提供了制冷机的Curzon-Ahlborn效率的对应物，即λ（CA）= [1/（root 1 -（T-c/T-h）] - 1，首先由Yan和Chen针对具有线性（牛顿）有限传热定律的内可逆卡诺型制冷机的特定情况导出[Yan和Chen，J. Phys. D：Appl.Phys.23，136（1990）]。
A unified optimization criterion for Carnot engines and refrigerators is proposed. It consists of maximizing the product of the heat absorbed by the working system times the efficiency per unit time of the device, either the engine or the refrigerator. This criterion can be applied to both low symmetric dissipation Carnot engines and refrigerators. For engines the criterion coincides with the maximum power criterion and then the Curzon-Ahlborn efficiency eta(CA) = 1 - root T-c/T-h is recovered, where T-h and T-c are the temperatures of the hot and cold reservoirs, respectively [Esposito, Kawai, Lindenberg, and Van den Broeck, Phys. Rev. Lett. 105, 150603 (2010)]. For refrigerators the criterion provides the counterpart of Curzon-Ahlborn efficiency for refrigerators epsilon(CA) = [1/(root 1 - (T-c/T-h)] - 1, first derived by Yan and Chen for the particular case of an endoreversible Carnot-type refrigerator with linear (Newtonian) finite heat transfer laws [Yan and Chen, J. Phys. D: Appl. Phys. 23, 136 (1990)].