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Convective motions in a porous medium heated from below

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Abstract

Convective motions in a porous medium filling a horizontal cylinder with a cross section of arbitrary shape and heated from below are studied. The small-parameter method is used to obtain infinitely many stationary motions forming a one-parameter family. For small values of the parameter, all of these motions are stable with respect to small perturbations. The article also discusses the case of heating which is not strictly vertical. It is found that in this case only one stationary motion is stable.

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Literature cited

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 2, pp. 131–137, March–April, 1975.

In conclusion, the author wishes to express his gratitude to G. Z. Gershuni for his statement of the problem and his interest in the work.

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Lyubimov, D.V. Convective motions in a porous medium heated from below. J Appl Mech Tech Phys 16, 257–261 (1975). https://doi.org/10.1007/BF00858924

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  • DOI: https://doi.org/10.1007/BF00858924

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