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Linear irreversible heat engines based on local equilibrium assumptions
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| Title: | Linear irreversible heat engines based on local equilibrium assumptions |
| Authors: | Izumida, Yuki Browse this author | | Okuda, Koji Browse this author |
| Keywords: | linear irreversible thermodynamics | | local equilibrium assumptions | | finite-time Carnot cycle | | efficiency at maximum power |
| Issue Date: | 2-Sep-2015 |
| Publisher: | IOP Publishing |
| Journal Title: | New journal of physics |
| Volume: | 17 |
| Start Page: | 85011 |
| Publisher DOI: | 10.1088/1367-2630/17/8/085011 |
| Abstract: | We formulate an endoreversible finite-time Carnot cycle model based on the assumptions of local equilibrium and constant energy flux, where the efficiency and the power are expressed in terms of the thermodynamic variables of the working substance. By analyzing the entropy production rate caused by the heat transfer in each isothermal process during the cycle, and using the endoreversible condition applied to the linear response regime, we identify the thermodynamic flux and force of the present system and obtain a linear relation that connects them. We calculate the efficiency at maximum power in the linear response regime by using the linear relation, which agrees with the Curzon-Ahlborn (CA) efficiency known as the upper bound in this regime. This reason is also elucidated by rewriting our model into the form of the Onsager relations, where our model turns out to satisfy the tight-coupling condition leading to the CA efficiency. |
| Rights: | http://creativecommons.org/licenses/by/3.0/ |
| Type: | article |
| URI: | http://hdl.handle.net/2115/60143 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 奥田 浩司
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