A Class of Reduced-Order Regenerator Models

We present a novel class of reduced-order regenerator models that is based on Endoreversible Thermodynamics. The models rest upon the idea of an internally reversible (perfect) regenerator, even though they are not limited to the reversible description. In these models, the temperatures of the worki...

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Autores principales:	Raphael Paul, Karl Heinz Hoffmann
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	regenerator numerical model endoreversible thermodynamics stirling vuilleumier irreversibility Technology T
Acceso en línea:	https://doaj.org/article/c7e846df09e8435cb46cbe145459f9f4
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id	oai:doaj.org-article:c7e846df09e8435cb46cbe145459f9f4
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spelling	oai:doaj.org-article:c7e846df09e8435cb46cbe145459f9f42021-11-11T16:02:14ZA Class of Reduced-Order Regenerator Models10.3390/en142172951996-1073https://doaj.org/article/c7e846df09e8435cb46cbe145459f9f42021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1073/14/21/7295https://doaj.org/toc/1996-1073We present a novel class of reduced-order regenerator models that is based on Endoreversible Thermodynamics. The models rest upon the idea of an internally reversible (perfect) regenerator, even though they are not limited to the reversible description. In these models, the temperatures of the working gas that alternately streams out on the regenerator’s hot and cold sides are defined as functions of the state of the regenerator matrix. The matrix is assumed to feature a linear spatial temperature distribution. Thus, the matrix has only two degrees of freedom that can, for example, be identified with its energy and entropy content. The dynamics of the regenerator is correspondingly expressed in terms of balance equations for energy and entropy. Internal irreversibilities of the regenerator can be accounted for by introducing source terms to the entropy balance equation. Compared to continuum or nodal regenerator models, the number of degrees of freedom and numerical effort are reduced considerably. As will be shown, instead of the obvious choice of variables energy and entropy, if convenient, a different pair of variables can be used to specify the state of the regenerator matrix and formulate the regenerator’s dynamics. In total, we will discuss three variants of this endoreversible regenerator model, which we will refer to as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="italic">ES</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="italic">EE</mi></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="italic">EEn</mi></semantics></math></inline-formula>-regenerator models.Raphael PaulKarl Heinz HoffmannMDPI AGarticleregeneratornumerical modelendoreversible thermodynamicsstirlingvuilleumierirreversibilityTechnologyTENEnergies, Vol 14, Iss 7295, p 7295 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	regenerator numerical model endoreversible thermodynamics stirling vuilleumier irreversibility Technology T
spellingShingle	regenerator numerical model endoreversible thermodynamics stirling vuilleumier irreversibility Technology T Raphael Paul Karl Heinz Hoffmann A Class of Reduced-Order Regenerator Models
description	We present a novel class of reduced-order regenerator models that is based on Endoreversible Thermodynamics. The models rest upon the idea of an internally reversible (perfect) regenerator, even though they are not limited to the reversible description. In these models, the temperatures of the working gas that alternately streams out on the regenerator’s hot and cold sides are defined as functions of the state of the regenerator matrix. The matrix is assumed to feature a linear spatial temperature distribution. Thus, the matrix has only two degrees of freedom that can, for example, be identified with its energy and entropy content. The dynamics of the regenerator is correspondingly expressed in terms of balance equations for energy and entropy. Internal irreversibilities of the regenerator can be accounted for by introducing source terms to the entropy balance equation. Compared to continuum or nodal regenerator models, the number of degrees of freedom and numerical effort are reduced considerably. As will be shown, instead of the obvious choice of variables energy and entropy, if convenient, a different pair of variables can be used to specify the state of the regenerator matrix and formulate the regenerator’s dynamics. In total, we will discuss three variants of this endoreversible regenerator model, which we will refer to as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="italic">ES</mi></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="italic">EE</mi></semantics></math></inline-formula>, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="italic">EEn</mi></semantics></math></inline-formula>-regenerator models.
format	article
author	Raphael Paul Karl Heinz Hoffmann
author_facet	Raphael Paul Karl Heinz Hoffmann
author_sort	Raphael Paul
title	A Class of Reduced-Order Regenerator Models
title_short	A Class of Reduced-Order Regenerator Models
title_full	A Class of Reduced-Order Regenerator Models
title_fullStr	A Class of Reduced-Order Regenerator Models
title_full_unstemmed	A Class of Reduced-Order Regenerator Models
title_sort	class of reduced-order regenerator models
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/c7e846df09e8435cb46cbe145459f9f4
work_keys_str_mv	AT raphaelpaul aclassofreducedorderregeneratormodels AT karlheinzhoffmann aclassofreducedorderregeneratormodels AT raphaelpaul classofreducedorderregeneratormodels AT karlheinzhoffmann classofreducedorderregeneratormodels
_version_	1718432438882926592

A Class of Reduced-Order Regenerator Models

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