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Entropy
Volume 18
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10.3390/e18070243
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Article

Nonlinear Thermodynamic Analysis and Optimization of a Carnot Engine Cycle

by
Michel Feidt
1,
Monica Costea
2,*,
Stoian Petrescu
2 and
Camelia Stanciu
2
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.
Entropy 2016, 18(7), 243; https://doi.org/10.3390/e18070243
Submission 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)
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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.
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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MDPI and ACS Style

Feidt, M.; Costea, M.; Petrescu, S.; Stanciu, C. Nonlinear Thermodynamic Analysis and Optimization of a Carnot Engine Cycle. Entropy 2016, 18, 243. https://doi.org/10.3390/e18070243

AMA Style

Feidt M, Costea M, Petrescu S, Stanciu C. Nonlinear Thermodynamic Analysis and Optimization of a Carnot Engine Cycle. Entropy. 2016; 18(7):243. https://doi.org/10.3390/e18070243

Chicago/Turabian Style

Feidt, Michel, Monica Costea, Stoian Petrescu, and Camelia Stanciu. 2016. "Nonlinear Thermodynamic Analysis and Optimization of a Carnot Engine Cycle" Entropy 18, no. 7: 243. https://doi.org/10.3390/e18070243

APA Style

Feidt, M., Costea, M., Petrescu, S., & Stanciu, C. (2016). Nonlinear Thermodynamic Analysis and Optimization of a Carnot Engine Cycle. Entropy, 18(7), 243. https://doi.org/10.3390/e18070243

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