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Entropy 2016, 18(7), 243; doi:10.3390/e18070243

Nonlinear Thermodynamic Analysis and Optimization of a Carnot Engine Cycle

1
Laboratoire d'Énergétique et de Mécanique Théorique et Appliquée, UMR 7563, Université de Lorraine, 2, avenue de la Forêt de Haye, Vandoeuvre-lès-Nancy 54518, France
2
Department of Engineering Thermodynamics, University Politehnica of Bucharest, Splaiul Independentei 313, Bucharest 060042, Romania
*
Author to whom correspondence should be addressed.
Academic Editor: Adom Giffin
Received: 1 April 2016 / Revised: 14 June 2016 / Accepted: 23 June 2016 / Published: 28 June 2016
(This article belongs to the Special Issue Exploring the Second Law of Thermodynamics)
View Full-Text   |   Download PDF [675 KB, uploaded 28 June 2016]   |  

Abstract

As part of the efforts to unify the various branches of Irreversible Thermodynamics, the proposed work reconsiders the approach of the Carnot engine taking into account the finite physical dimensions (heat transfer conductances) and the finite speed of the piston. The models introduce the irreversibility of the engine by two methods involving different constraints. The first method introduces the irreversibility by a so-called irreversibility ratio in the entropy balance applied to the cycle, while in the second method it is emphasized by the entropy generation rate. Various forms of heat transfer laws are analyzed, but most of the results are given for the case of the linear law. Also, individual cases are studied and reported in order to provide a simple analytical form of the results. The engine model developed allowed a formal optimization using the calculus of variations. View Full-Text
Keywords: Carnot engine cycle; non-linear approach; irreversibilities; finite heat capacity rate; finite speed of the piston; sequential optimization Carnot engine cycle; non-linear approach; irreversibilities; finite heat capacity rate; finite speed of the piston; sequential optimization
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Feidt, M.; Costea, M.; Petrescu, S.; Stanciu, C. Nonlinear Thermodynamic Analysis and Optimization of a Carnot Engine Cycle. Entropy 2016, 18, 243.

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