Rayleigh-Benard convection in a viscoelastic fluid-filled high-porosity medium with nonuniform basic temperature gradient
The qualitative effect of nonuniform temperature gradient on the linear stability analysis of the Rayleigh-Benard convection problem in a Boussinesquian, viscoelastic fluid-filled, high-porosity medium is studied numerically using the single-term Galerkin technique. The eigenvalue is obtained for fr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201001028 |
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| Summary: | The qualitative effect of nonuniform temperature gradient on the
linear stability analysis of the Rayleigh-Benard convection
problem in a Boussinesquian, viscoelastic fluid-filled,
high-porosity medium is studied numerically using the single-term
Galerkin technique. The eigenvalue is obtained for free-free,
free-rigid, and rigid-rigid boundary combinations with isothermal
temperature conditions. Thermodynamics and also the
present stability analysis dictates the strain retardation time
to be less than the stress relaxation time for convection to set
in as oscillatory motions in a high-porosity medium. Furthermore,
the analysis predicts the critical eigenvalue for the viscoelastic
problem to be less than that of the corresponding Newtonian fluid
problem. |
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| ISSN: | 0161-1712 1687-0425 |