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Natural convection in a porous bed with a permeable boundary

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Abstract

Natural convection in a vertical porous bed heated from the side was investigated numerically for the case where mass transfer occurs between the bed and the surroundings. On the permeable part of the boundary we assign conditions of the first or second kind for the pressure, which corresponds to a free surface or a thin permeable skin. We obtained information about the structure and regimes of steady convection in the bed and the dependences of the mean and local heat-transfer characteristics on the Rayleigh number. The results are compared with the results of [1–3].

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Literature cited

  1. M. P. Vlasyuk and V. I. Polezhaev, Natural Convection and Heat Transfer in Permeable Porous Materials [in Russian], Preprint No. 77, Inst. Prikl. Mat. Akad. Nauk SSSR, Moscow (1975).

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  3. M. Jannot, P. Naudin, and S. Viannay, “Convection mixte en milieux poreux,” Intern. J. Heat Mass Transfer,16, No. 2 (1973).

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  5. R. P. Fedorenko, “Iteration methods of solving difference elliptic equations,” Usp. Mat. Nauk,28, No. 2 (1973).

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 145–148, July–August, 1978.

The author thanks V. I. Polezhaev for supervision of the work.

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Klein, I.S. Natural convection in a porous bed with a permeable boundary. Fluid Dyn 13, 606–609 (1978). https://doi.org/10.1007/BF01055115

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  • DOI: https://doi.org/10.1007/BF01055115

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