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ISRN Astronomy and Astrophysics
Volume 2012 (2012), Article ID 894056, 7 pages
http://dx.doi.org/10.5402/2012/894056
Research Article

An Endoreversible Thermodynamic Model Applied to the Convective Zone of the Sun

1Departamento de Formación Básica, Escuela Superior de Cómputo del IPN, Avenue Miguel Bernard s/n., Esquire Juan de Dios Bátiz, U.P. Zacatenco, 07738 México, DF, Mexico
2Departamento de Física, Escuela Superior de Física y Matemáticas del IPN, Edif. 9, U.P. Zacatenco, 07738 México, DF, Mexico

Received 22 December 2011; Accepted 22 January 2012

Academic Editors: M. Ding and A. Pamyatnykh

Copyright © 2012 J. Ortuño-Araujo et al. 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.

Abstract

Within the context of finite-time thermodynamics (FTTs) some models of convective atmospheric cells have been proposed to calculate the efficiency of the conversion of solar energy into wind energy and also for calculating the surface temperature of the planets of the solar system. One of these models is the Gordon and Zarmi (GZ) model, which consists in taking the sun-earth-wind system as a FTT-cyclic heat engine where the heat input is solar radiation, the working fluid is the earth's atmosphere and the energy in the winds is the work produced. The cold reservoir to which the engine rejects heat is the 3 K surrounding universe. In the present work we apply the GZ-model to investigate some features of the convective zone of the sun by means of a possible structure of successive convective cells along the well-established convective region of the sun. That is, from 0.714 𝑅 𝑆 up to 𝑅 𝑆 being 𝑅 𝑆 the radius of the sun. Besides, we estimate the number of cells of the model, the possible size of the cells, their thermal efficiency, and also their average power output. Our calculations were made by means of two FTT regimes of performance: the maximum power regime and the maximum ecological function regime. Our results are in reasonable agreement with others reported in the literature.