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Association of Finite-Dimension Thermodynamics and a Bond-Graph Approach for Modeling an Irreversible Heat Engine
Renault, Advanced Electronics and Technologies Division, Technocentre Renault, 1 avenue de Golf Guyancourt 78288, France
Laboratoire du Génie des Procédés pour l’Environnement, l’Énergie et la Santé (LGP2ES-EA21), Cnam-Cemagref, case 2D3R20, 292 rue saint Martin Paris 75003, France
Laboratoire d’Energétique et de Mécanique Théorique et Appliquée, ENSEM, 2, avenue de la Forêt de Haye Vandoeuvre 54516, France
* Author to whom correspondence should be addressed.
Received: 23 April 2012; in revised form: 22 June 2012 / Accepted: 2 July 2012 / Published: 12 July 2012
Abstract: In recent decades, the approach known as Finite-Dimension Thermodynamics has provided a fruitful theoretical framework for the optimization of heat engines operating between a heat source (at temperature Ths) and a heat sink (at temperature Tcs). We will show in this paper that the approach detailed in a previous paper  can be used to analytically model irreversible heat engines (with an additional assumption on the linearity of the heat transfer laws). By defining two dimensionless parameters, the intensity of internal dissipation and heat leakage within a heat engine were quantified. We then established the analogy between an endoreversible heat engine and an irreversible heat engine by using the apparent temperatures (Tcs → Tλ,φ cs, Ths → Tλ,φ hs) and apparent conductances (Kh → Kλ h, Kc → Kλ c). We thus found the analytical expression of the maximum power of an irreversible heat engine. However, these apparent temperatures should not be used to calculate the conversion efficiency at the optimal operating point by analogy with the case of an endoreversible heat engine.
Keywords: finite-dimension thermodynamics; bond graph approach; exo-reversible heat engine; irreversible heat engine; maximum power; Chambadal–Novikov–Curzon–Ahlborn efficiency
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Dong, Y.; El-Bakkali, A.; Feidt, M.; Descombes, G.; Périlhon, C. Association of Finite-Dimension Thermodynamics and a Bond-Graph Approach for Modeling an Irreversible Heat Engine. Entropy 2012, 14, 1234-1258.
Dong Y, El-Bakkali A, Feidt M, Descombes G, Périlhon C. Association of Finite-Dimension Thermodynamics and a Bond-Graph Approach for Modeling an Irreversible Heat Engine. Entropy. 2012; 14(7):1234-1258.
Dong, Yuxiang; El-Bakkali, Amin; Feidt, Michel; Descombes, Georges; Périlhon, Christelle. 2012. "Association of Finite-Dimension Thermodynamics and a Bond-Graph Approach for Modeling an Irreversible Heat Engine." Entropy 14, no. 7: 1234-1258.