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On the convective instability of a liquid in an inclined layer of a porous medium

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

In this paper we study the stability of the equilibrium of a liquid heated from below, wherein the liquid saturates a planar layer of a porous medium arbitrarily inclined to the direction of gravity. We consider the cases for which the boundaries of the layer are heat-conducting and also thermally insulated. In a horizontal layer with heat-conducting boundaries equilibrium is destroyed by perturbations of cellular structure [1], In a vertical layer the minimum critical temperature gradient corresponds to perturbations of plane-parallel structure. The transition to cellular perturbations in the case of heat-conducting boundaries takes place at an arbitrarily small angle of inclination of the layer to the vertical. For the thermally insulated layer the crisis of equilibrium is connected with plane-parallel perturbations at all angles of inclination.

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Literature cited

  1. E. R. Lapwood, “Convection of a fluid in a porous medium,” Proc. Cambr. Philos. Soc.,44, No. 3, 508–521 (1948).

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Authors and Affiliations

  1. Perm

    A. K. Kolesnikov & D. V. Lyubimov

Authors
  1. A. K. Kolesnikov
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  2. D. V. Lyubimov
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Additional information

Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 127–131, May–June, 1973.

The author thanks G. Z. Gershuni for stating the problem and his interest in the work.

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Kolesnikov, A.K., Lyubimov, D.V. On the convective instability of a liquid in an inclined layer of a porous medium. J Appl Mech Tech Phys 14, 400–404 (1973). https://doi.org/10.1007/BF00850957

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  • DOI: https://doi.org/10.1007/BF00850957

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