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On the high Rayleigh number heating of a fluid above a horizontal surface

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Abstract

From the observed behaviour of free convection at high Rayleigh number above a horizontal surface, a simple model of the temperature profile in such a region is constructed. This model is used to predict the gross properties of a layer of fluid which is heated from below. At the top boundary, the effect of replacing a rigid insulated surface by a stable layer of fluid (that is a temperature inversion) is considered. The behaviour of the region is found to depend strongly upon the boundary conditions at the base and at the top of the convection layer.

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Authors and Affiliations

  1. Dept. of Math., Monash Univ., Melbourne, Australia

    M. J. Manton

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  1. M. J. Manton
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Manton, M.J. On the high Rayleigh number heating of a fluid above a horizontal surface. Appl. Sci. Res. 31, 267–278 (1975). https://doi.org/10.1007/BF00389219

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  • DOI: https://doi.org/10.1007/BF00389219

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