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Stability of geothermal convection in anisotropic river beds

Gérard Degan, Julien Yovogan, Latif Fagbémi et Zineddine Allou

Article de revue (2019)

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Abstract

The onset of thermal convection, due to heating from below in a system consisting of a fluid layer overlying a porous layer with anisotropic permeability and thermal diffusivity, is investigated analytically. The porous medium is both anisotropic in permeability whose principal axes are oriented in a direction that is oblique to the gravity vector and in thermal conductivity with principal directions coincident with the coordinate axes. The Beavers-Joseph condition is applied at the interface between the two layers. Based on parallel flow approximation theory, a linear stability analysis is conducted to study the geothermal river beds system and documented the effects of the physical parameters describing the problem. The critical Rayleigh numbers for both the fluid and porous layers corresponding, to the onset of convection arising from sudden heating and cooling at the boundaries are also predicted. The results obtained are in agreement with those found in the past for particular isotropic and anisotropic cases and for limiting cases concerning pure porous media and for pure fluid layer. It has demonstrated that the effects of anisotropic parameters are highly significant.

Mots clés

river beds; critical Rayleigh Number; isotropic; anisotropic

Sujet(s): 2100 Génie mécanique > 2100 Génie mécanique
Département: Département de génie mécanique
URL de PolyPublie: https://publications.polymtl.ca/61206/
Titre de la revue: Engineering (vol. 11, no 7)
Maison d'édition: Scientific Research Publishing
DOI: 10.4236/eng.2019.117026
URL officielle: https://doi.org/10.4236/eng.2019.117026
Date du dépôt: 17 déc. 2024 12:06
Dernière modification: 10 févr. 2025 14:52
Citer en APA 7: Degan, G., Yovogan, J., Fagbémi, L., & Allou, Z. (2019). Stability of geothermal convection in anisotropic river beds. Engineering, 11(7), 343-365. https://doi.org/10.4236/eng.2019.117026

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