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Entropy 2018, 20(12), 985; https://doi.org/10.3390/e20120985

A Simple Thermodynamic Model of the Internal Convective Zone of the Earth

1
Escuela Superior de Física y Matemáticas del Instituto Politécnico Nacional, Edif. 9 U.P. Zacatenco, Ciudad de México 07738, Mexico
2
Escuela Superior de Cómputo del Instituto Politécnico Nacional, Av. Miguel Bernard, Esq. Av. Miguel Othón de Mendizabal, Colonia Lindavista, Ciudad de México 07738, Mexico
*
Author to whom correspondence should be addressed.
Received: 29 November 2018 / Revised: 8 December 2018 / Accepted: 14 December 2018 / Published: 18 December 2018
(This article belongs to the Special Issue Entropy Generation and Heat Transfer)
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Abstract

As it is well known both atmospheric and mantle convection are very complex phenomena. The dynamical description of these processes is a very difficult task involving complicated 2-D or 3-D mathematical models. However, a first approximation to these phenomena can be by means of simplified thermodynamic models where the restriction imposed by the laws of thermodynamics play an important role. An example of this approach is the model proposed by Gordon and Zarmi in 1989 to emulate the convective cells of the atmospheric air by using finite-time thermodynamics (FTT). In the present article we use the FTT Gordon-Zarmi model to coarsely describe the convection in the Earth’s mantle. Our results permit the existence of two layers of convective cells along the mantle. Besides the model reasonably reproduce the temperatures of the main discontinuities in the mantle, such as the 410 km-discontinuity, the Repetti transition zone and the so-called D-Layer. View Full-Text
Keywords: convective zone; earth’s mantle; finite time thermodynamics convective zone; earth’s mantle; finite time thermodynamics
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Arango-Reyes, K.; Barranco-Jiménez, M.A.; Ares de Parga-Álvarez, G.; Angulo-Brown, F. A Simple Thermodynamic Model of the Internal Convective Zone of the Earth. Entropy 2018, 20, 985.

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