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Steady convection in a porous layer with translational flow

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Summary

We prove that if in a porous layer there is a translational flow in a horizontal direction, then the only stationary convection which may occur, in the presence of a small transversal gradient of temperature, is a helical motion with axes parallel to the translational flow. The stability analysis of this finite-amplitude steady solution is investigated, in the vicinity of the critical point.

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Ene, H.I., Poliševski, D. Steady convection in a porous layer with translational flow. Acta Mechanica 84, 13–18 (1990). https://doi.org/10.1007/BF01176085

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