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Association of Finite-Dimension Thermodynamics and a Bond-Graph Approach for Modeling an Irreversible Heat Engine


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1

Renault, Advanced Electronics and Technologies Division, Technocentre Renault, 1 avenue de Golf Guyancourt 78288, France

2

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

3

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.



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 1 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. View Full-Text

Keywords: finite-dimension thermodynamics; bond graph approach; exo-reversible heat engine; irreversible heat engine; maximum power; Chambadal–Novikov–Curzon–Ahlborn efficiency finite-dimension thermodynamics; bond graph approach; exo-reversible heat engine; irreversible heat engine; maximum power; Chambadal–Novikov–Curzon–Ahlborn efficiency





Autor: Yuxiang Dong 1,2,* , Amin El-Bakkali 1, Michel Feidt 3, Georges Descombes 2 and Christelle Périlhon 2

Fuente: http://mdpi.com/



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