Hydrodynamic and Hydromagnetic Stability of Two Superposed Elastico – Viscous Fluids of Different Permeability with Dust in Porous Medium
Rayleigh-Taylor instability of two superposed Walters’ B has elastico-viscous fluids in a uniform magnetic field through a porous medium with different permeability been studied to include the suspended (dust) particles effect. Using normal mode technique a dispersion relation has been derived. The...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2015-05-01
|
| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Hydrodynamic-and-Hydromagnetic-Stability-of-Two-Superposed-Elastico-Viscous-Fluids,167196,0,2.html |
| _version_ | 1827873479242809344 |
|---|---|
| author | M. Singh C.B. Mehta |
| author_facet | M. Singh C.B. Mehta |
| author_sort | M. Singh |
| collection | DOAJ |
| description | Rayleigh-Taylor instability of two superposed Walters’ B has elastico-viscous fluids in a uniform magnetic field through a porous medium with different permeability been studied to include the suspended (dust) particles effect. Using normal mode technique a dispersion relation has been derived. The stability analysis has been carried out. The magnetic field stabilizes the unstable configuration for the wave number band K > K* in which the system is unstable in the absence of the magnetic field. It is also found that for a potential stable arrangement for Walters B’ elastico-viscous fluids of different permeabilities in the presence of suspended particles through a porous medium the system is stable, whereas in the potentially unstable case instability of the system occurs. |
| first_indexed | 2024-03-12T16:38:40Z |
| format | Article |
| id | doaj.art-965d9192d4df44fab6d3f30e7a944713 |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:38:40Z |
| publishDate | 2015-05-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-965d9192d4df44fab6d3f30e7a9447132023-08-08T14:46:57ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032015-05-0120240741610.1515/ijame-2015-0027167196Hydrodynamic and Hydromagnetic Stability of Two Superposed Elastico – Viscous Fluids of Different Permeability with Dust in Porous MediumM. Singh0C.B. Mehta1Department of Mathematics Govt. Post Graduate College Seema (Rohru), Distt Shimla (H.P) -171207, INDIADepartment of Mathematics, Centre for Excellence Govt. Degree College Sanjauli, Distt Shimla (H.P) -171006, INDIARayleigh-Taylor instability of two superposed Walters’ B has elastico-viscous fluids in a uniform magnetic field through a porous medium with different permeability been studied to include the suspended (dust) particles effect. Using normal mode technique a dispersion relation has been derived. The stability analysis has been carried out. The magnetic field stabilizes the unstable configuration for the wave number band K > K* in which the system is unstable in the absence of the magnetic field. It is also found that for a potential stable arrangement for Walters B’ elastico-viscous fluids of different permeabilities in the presence of suspended particles through a porous medium the system is stable, whereas in the potentially unstable case instability of the system occurs.https://www.ijame-poland.com/Hydrodynamic-and-Hydromagnetic-Stability-of-Two-Superposed-Elastico-Viscous-Fluids,167196,0,2.htmlrayleigh-taylor instabilitymagnetic filedsuspended particlewalters’ b fluiddifferent permeability and porous medium |
| spellingShingle | M. Singh C.B. Mehta Hydrodynamic and Hydromagnetic Stability of Two Superposed Elastico – Viscous Fluids of Different Permeability with Dust in Porous Medium International Journal of Applied Mechanics and Engineering rayleigh-taylor instability magnetic filed suspended particle walters’ b fluid different permeability and porous medium |
| title | Hydrodynamic and Hydromagnetic Stability of Two Superposed Elastico – Viscous Fluids of Different Permeability with Dust in Porous Medium |
| title_full | Hydrodynamic and Hydromagnetic Stability of Two Superposed Elastico – Viscous Fluids of Different Permeability with Dust in Porous Medium |
| title_fullStr | Hydrodynamic and Hydromagnetic Stability of Two Superposed Elastico – Viscous Fluids of Different Permeability with Dust in Porous Medium |
| title_full_unstemmed | Hydrodynamic and Hydromagnetic Stability of Two Superposed Elastico – Viscous Fluids of Different Permeability with Dust in Porous Medium |
| title_short | Hydrodynamic and Hydromagnetic Stability of Two Superposed Elastico – Viscous Fluids of Different Permeability with Dust in Porous Medium |
| title_sort | hydrodynamic and hydromagnetic stability of two superposed elastico viscous fluids of different permeability with dust in porous medium |
| topic | rayleigh-taylor instability magnetic filed suspended particle walters’ b fluid different permeability and porous medium |
| url | https://www.ijame-poland.com/Hydrodynamic-and-Hydromagnetic-Stability-of-Two-Superposed-Elastico-Viscous-Fluids,167196,0,2.html |
| work_keys_str_mv | AT msingh hydrodynamicandhydromagneticstabilityoftwosuperposedelasticoviscousfluidsofdifferentpermeabilitywithdustinporousmedium AT cbmehta hydrodynamicandhydromagneticstabilityoftwosuperposedelasticoviscousfluidsofdifferentpermeabilitywithdustinporousmedium |