Steady convection in porous media. II. The case of low Rayleigh numbers and asymptotic expansions (Q1067533)
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scientific article; zbMATH DE number 3928615
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Steady convection in porous media. II. The case of low Rayleigh numbers and asymptotic expansions |
scientific article; zbMATH DE number 3928615 |
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Steady convection in porous media. II. The case of low Rayleigh numbers and asymptotic expansions (English)
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1985
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[For the former part see the review above (Zbl 0579.76090).] For low Rayleigh numbers uniqueness holds. Moreover, here it is proved that this solution is analytic and regular with respect to the Rayleigh number. In connection with this result, the case of the domain confined between two concentric spheres is studied by the perturbation method. Three types of flows - with one, two or three cells - are pointed out.
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regular solution
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analytic solution
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asymptotic
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solution
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multicellular flow
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two concentric spheres
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perturbation method
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0.9338662
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0.91693574
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0.9167558
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0.8958495
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0.8800406
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0.87828976
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