Instability through porous medium of two viscous superposed conducting fluids
The stability of the plane interface separating two viscous superposed conducting fluids through porous medium is studied when the whole system is immersed in a uniform horizontal magnetic field. The stability analysis is carried out for two highly viscous fluids of equal kinematic viscosities, for...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000350 |
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| _version_ | 1832561521436131328 |
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| author | R. C. Sharma K. P. Thakur |
| author_facet | R. C. Sharma K. P. Thakur |
| author_sort | R. C. Sharma |
| collection | DOAJ |
| description | The stability of the plane interface separating two viscous superposed conducting fluids through porous medium is studied when the whole system is immersed in a uniform horizontal magnetic field. The stability analysis is carried out for two highly viscous fluids of equal kinematic viscosities, for mathematical simplicity. It is found that the stability criterion is independent of the effects of viscosity and porosity of the medium and is dependent on the orientation and magnitude of the magnetic field. The magnetic field is found to stabilize a
certain wave number range of the unstable configuration. The behaviour of growth rates with respect to viscosity, porosity and medium permeability are examined analytically. |
| format | Article |
| id | doaj-art-b5b05b47e83b49b5a6e54a43c171777f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b5b05b47e83b49b5a6e54a43c171777f2025-02-03T01:24:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015236537510.1155/S0161171282000350Instability through porous medium of two viscous superposed conducting fluidsR. C. Sharma0K. P. Thakur1Department of Mathematics, Himachal Pradesh University, Simla 171005, IndiaDepartment of Mathematics, Himachal Pradesh University, Simla 171005, IndiaThe stability of the plane interface separating two viscous superposed conducting fluids through porous medium is studied when the whole system is immersed in a uniform horizontal magnetic field. The stability analysis is carried out for two highly viscous fluids of equal kinematic viscosities, for mathematical simplicity. It is found that the stability criterion is independent of the effects of viscosity and porosity of the medium and is dependent on the orientation and magnitude of the magnetic field. The magnetic field is found to stabilize a certain wave number range of the unstable configuration. The behaviour of growth rates with respect to viscosity, porosity and medium permeability are examined analytically.http://dx.doi.org/10.1155/S0161171282000350instabilityporous mediumconducting fluids. |
| spellingShingle | R. C. Sharma K. P. Thakur Instability through porous medium of two viscous superposed conducting fluids International Journal of Mathematics and Mathematical Sciences instability porous medium conducting fluids. |
| title | Instability through porous medium of two viscous superposed conducting fluids |
| title_full | Instability through porous medium of two viscous superposed conducting fluids |
| title_fullStr | Instability through porous medium of two viscous superposed conducting fluids |
| title_full_unstemmed | Instability through porous medium of two viscous superposed conducting fluids |
| title_short | Instability through porous medium of two viscous superposed conducting fluids |
| title_sort | instability through porous medium of two viscous superposed conducting fluids |
| topic | instability porous medium conducting fluids. |
| url | http://dx.doi.org/10.1155/S0161171282000350 |
| work_keys_str_mv | AT rcsharma instabilitythroughporousmediumoftwoviscoussuperposedconductingfluids AT kpthakur instabilitythroughporousmediumoftwoviscoussuperposedconductingfluids |