A finite-time thermal cycle variational optimization with a stefan-boltzmann law for three different criteria

Juan C. Chimal-Eguía; Norma Sánchez-Salas; Marco A. Barranco-Jiménez

doi:10.3390/e14122611

A finite-time thermal cycle variational optimization with a stefan-boltzmann law for three different criteria

Juan C. Chimal-Eguía, Norma Sánchez-Salas, Marco A. Barranco-Jiménez

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

This work shows the power of the variational approach for studying the efficiency of thermal engines in the context of the Finite Time Thermodynamics (FTT). Using anendoreversible Curzon-Ahlborn (CA) heat engine as a model for actual thermal engines,three different criteria for thermal efficiency were analyzed: maximum power output,ecological function, and maximum power density. By means of this procedure, the performance of the CA heat engine with a nonlinear heat transfer law (the Stefan-Boltzmann law) was studied to describe the heat exchanges between the working substance and its thermal reservoirs. The specific case of the Müser engine for all the criteria was analyzed.The results confirmed some previous findings using other procedures and additionally new results for the Müser engine performance were obtained.

Original language	English
Pages (from-to)	2611-2625
Number of pages	15
Journal	Entropy
Volume	14
Issue number	12
DOIs	https://doi.org/10.3390/e14122611
State	Published - Dec 2012

Keywords

Curzon-alhborn engine
Ecological function
Maximum power density
Maximum power output
Stefan-boltzmann law
Variational approach

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10.3390/e14122611

Cite this

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title = "A finite-time thermal cycle variational optimization with a stefan-boltzmann law for three different criteria",

abstract = "This work shows the power of the variational approach for studying the efficiency of thermal engines in the context of the Finite Time Thermodynamics (FTT). Using anendoreversible Curzon-Ahlborn (CA) heat engine as a model for actual thermal engines,three different criteria for thermal efficiency were analyzed: maximum power output,ecological function, and maximum power density. By means of this procedure, the performance of the CA heat engine with a nonlinear heat transfer law (the Stefan-Boltzmann law) was studied to describe the heat exchanges between the working substance and its thermal reservoirs. The specific case of the M{\"u}ser engine for all the criteria was analyzed.The results confirmed some previous findings using other procedures and additionally new results for the M{\"u}ser engine performance were obtained.",

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AU - Chimal-Eguía, Juan C.

AU - Sánchez-Salas, Norma

AU - Barranco-Jiménez, Marco A.

PY - 2012/12

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AB - This work shows the power of the variational approach for studying the efficiency of thermal engines in the context of the Finite Time Thermodynamics (FTT). Using anendoreversible Curzon-Ahlborn (CA) heat engine as a model for actual thermal engines,three different criteria for thermal efficiency were analyzed: maximum power output,ecological function, and maximum power density. By means of this procedure, the performance of the CA heat engine with a nonlinear heat transfer law (the Stefan-Boltzmann law) was studied to describe the heat exchanges between the working substance and its thermal reservoirs. The specific case of the Müser engine for all the criteria was analyzed.The results confirmed some previous findings using other procedures and additionally new results for the Müser engine performance were obtained.

KW - Curzon-alhborn engine

KW - Ecological function

KW - Maximum power density

KW - Maximum power output

KW - Stefan-boltzmann law

KW - Variational approach

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A finite-time thermal cycle variational optimization with a stefan-boltzmann law for three different criteria

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Keywords

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