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The stability of a thermally stratified, saturated porous media through which mass is being ejected is considered theoretically. The stability parameter is a flow modified D'Arcy‐Rayleigh number and is a function of a single scalar variable, the dimensionless through‐flow strength. Results of both linear and energy theory are given, and it is seen that the fluid can lose stability by either a buoyantly driven mode or by a continuous analogue of the Saffman‐Taylor mode.
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Homsy et al. (1976) studied this question.
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