Hydrodynamic and Hydromagnetic Stability of Viscous-Viscoelastic Superposed Fluids in Presence of Suspended Particles

Pardeep Kumar,

Pardeep Kumar

Department of Mathematics, ICDEOL Himachal Pradesh University, Summer-Hill, India hpuniv.in

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Mahinder Singh,

Mahinder Singh

Department of Mathematics, ICDEOL Himachal Pradesh University, Summer-Hill, India hpuniv.in

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Pardeep Kumar,

Pardeep Kumar

Department of Mathematics, ICDEOL Himachal Pradesh University, Summer-Hill, India hpuniv.in

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Mahinder Singh,

Mahinder Singh

Department of Mathematics, ICDEOL Himachal Pradesh University, Summer-Hill, India hpuniv.in

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First published: 27 June 2007

https://doi.org/10.1155/2007/28908

Citations: 4

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Abstract

The Rayleigh-Taylor instability of a Newtonian viscous fluid overlying an Oldroydian viscoelastic fluid containing suspended particles is considered. As in both Newtonian viscous-viscous fluids, the system is stable in the potentially stable case and unstable in the potentially unstable case, this holds for the present problem also. The effect of a variable horizontal magnetic field is also considered. The presence of magnetic field stabilizes a certain wavenumber band, whereas the system is unstable for all wavenumbers in the absence of the magnetic field for the potentially unstable arrangement.

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Hydrodynamic and Hydromagnetic Stability of Viscous-Viscoelastic Superposed Fluids in Presence of Suspended Particles

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