Energy stability in the Bénard problem for a fluid of second grade (Q761875)
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scientific article; zbMATH DE number 3889092
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Energy stability in the Bénard problem for a fluid of second grade |
scientific article; zbMATH DE number 3889092 |
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Energy stability in the Bénard problem for a fluid of second grade (English)
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1983
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A constitutive equation for an incompressible homogeneous fluid of second grade is used (1) \(T=-PI+\mu A_ 1+\alpha_ 1A_ 2+\alpha_ 2A^ 2_ 1\); where \(A_ 1\) and \(A_ 2\) are the first two Rivlin-Ericksen tensors. A strong stability result is established for the problem of density variation driven convection when a fluid for which the stress has the form (1) is heated from below. The critical Rayleigh number for stability of convection in a fluid of second grade is given by means of the energy method.
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Bénard problem
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constitutive equation
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incompressible homogeneous fluid of second grade
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Rivlin-Ericksen tensors
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strong stability result
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density variation driven convection
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