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Entropy 2012, 14(7), 1234-1258; doi:10.3390/e14071234
Article

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

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Received: 23 April 2012; in revised form: 22 June 2012 / Accepted: 2 July 2012 / Published: 12 July 2012
(This article belongs to the Special Issue Advances in Applied Thermodynamics)
Download PDF [1036 KB, uploaded 23 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 [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 (TcsTλ,φ cs, ThsTλ,φ hs) and apparent conductances (KhKλ h, KcKλ 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 finite-dimension thermodynamics; bond graph approach; exo-reversible heat engine; irreversible heat engine; maximum power; Chambadal–Novikov–Curzon–Ahlborn efficiency
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.

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MDPI and ACS Style

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.

AMA Style

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.

Chicago/Turabian Style

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.


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