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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| Format: | Article |
| Language: | English |
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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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| author | Pradeep G. Siddheshwar C. V. Sri Krishna |
| author_facet | Pradeep G. Siddheshwar C. V. Sri Krishna |
| author_sort | Pradeep G. Siddheshwar |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3bea7dd52b2a4281879de09c1ec79dae |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3bea7dd52b2a4281879de09c1ec79dae2025-02-03T05:53:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0125960961910.1155/S0161171201001028Rayleigh-Benard convection in a viscoelastic fluid-filled high-porosity medium with nonuniform basic temperature gradientPradeep G. Siddheshwar0C. V. Sri Krishna1Department of Mathematics, Bangalore University, Central College Campus, Bangalore 560 001, IndiaDepartment of Mathematics, Bangalore University, Sir M. Visvesvaraya, Institute of Technology, Bangalore 562 157, IndiaThe 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.http://dx.doi.org/10.1155/S0161171201001028 |
| spellingShingle | Pradeep G. Siddheshwar C. V. Sri Krishna Rayleigh-Benard convection in a viscoelastic fluid-filled high-porosity medium with nonuniform basic temperature gradient International Journal of Mathematics and Mathematical Sciences |
| title | Rayleigh-Benard convection in a viscoelastic fluid-filled high-porosity medium with nonuniform basic temperature gradient |
| title_full | Rayleigh-Benard convection in a viscoelastic fluid-filled high-porosity medium with nonuniform basic temperature gradient |
| title_fullStr | Rayleigh-Benard convection in a viscoelastic fluid-filled high-porosity medium with nonuniform basic temperature gradient |
| title_full_unstemmed | Rayleigh-Benard convection in a viscoelastic fluid-filled high-porosity medium with nonuniform basic temperature gradient |
| title_short | Rayleigh-Benard convection in a viscoelastic fluid-filled high-porosity medium with nonuniform basic temperature gradient |
| title_sort | rayleigh benard convection in a viscoelastic fluid filled high porosity medium with nonuniform basic temperature gradient |
| url | http://dx.doi.org/10.1155/S0161171201001028 |
| work_keys_str_mv | AT pradeepgsiddheshwar rayleighbenardconvectioninaviscoelasticfluidfilledhighporositymediumwithnonuniformbasictemperaturegradient AT cvsrikrishna rayleighbenardconvectioninaviscoelasticfluidfilledhighporositymediumwithnonuniformbasictemperaturegradient |