Study of the effect of viscosity and homogeneous horizontal magnetic field on Rayleigh-Taylor instability

Hoshoudy, G. A.; El-Ansary, N.

doi:10.1002/zamm.200310005

Cited by 3 publications

(1 citation statement)

References 17 publications

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“…A good account of stability problems has also been given by Joseph and Renardy [5] in their study of two-fluid dynamics. Hoshoudy and El-Ansary [6] have studied the effect of viscosity and homogeneous horizontal magnetic field on Rayleigh-Taylor instability of a heavy fluid supported by a lighter one.…”

Section: Introductionmentioning

confidence: 99%

Hydromagnetic Instability of Two Viscoelastic Dusty-Fluids in Porous Medium

Kumar

Gupta²

2021

1790-5044

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An attempt has been made to investigate the instability of the plane interface between two viscoelastic superposed conducting fluids in the presence of suspended particles and variable horizontal magnetic field through porous medium is studied. The cases of two fluids of uniform densities, viscosities, magnetic fields, and suspended particles number densities separated by a horizontal boundary; and of exponentially varying density, viscosity, suspended particles number density, and magnetic field are considered. It is found that the stability criterion is independent of the effects of viscoelasticity, medium porosity, and suspended particles but is dependent on the orientation and magnitude of the magnetic field. The magnetic field succeeds in stabilizing a certain range of wavenumbers which were unstable in the absence of the magnetic field. The system is found to be stable for potentially stable configuration/stratification. The growth rates are found to increase (for certain wavenumbers) and decrease (for other wavenumbers) with the increase in kinematic viscosity, suspended particles number density, magnetic field, medium permeability and stress relaxation time.

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Section: Introductionmentioning

confidence: 99%

Hydromagnetic Instability of Two Viscoelastic Dusty-Fluids in Porous Medium

Kumar

Gupta²

2021

1790-5044

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Stability of two superposed viscoelastic fluid‐particle mixtures

2005

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The stability of the plane interface separating two viscoelastic (Walters B′) superposed fluids of uniform densities in the presence of suspended particles is considered. The stability analysis has been carried out, for mathematical simplicity, for two highly viscoelastic fluids of equal kinematic viscosities and equal kinematic visco‐elasticities. For the (density wise) stable configuration, the system is found to be stable or unstable for the wave number range k ≤ or > \documentclass{article}\usepackage{amssymb}\pagestyle{empty}\begin{document}$ {{1} \over {{\sqrt{2\nu \prime}}}} $\end{document} depending on the kinematic viscoelasticity ν′. However, the system is found to be unstable for the unstable configuration.

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Effects of General Rotation and a Horizontal Magnetic Field on the Rayleigh–Taylor Instability of Three-Fluid Layer in Porous Media

Hoshoudy

2011

Arab J Sci Eng

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The Rayleigh-Taylor instability of superposed conducting fluids through porous media under the influence of a uniform magnetic field and general rotation was investigated. The system is composed of a middle fluid sheet of finite thickness embedded between two semi-infinite fluids. The fluids are assumed incompressible and perfectly conducting. A dispersion equation is derived by solving the linearized equations of motion using the boundary conditions. The behavior of the growth rate with respect to the horizontal magnetic field, the vertical and horizontal components of rotation, the viscosity, and the permeability of the porous medium are examined numerically. The results show that the system is divided into two modes (two growth rates). The horizontal magnetic field, and the vertical and horizontal components of rotation, viscosity and porosity have a stabilizing effect on the growth rate of an unstable configuration.

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Study of the effect of viscosity and homogeneous horizontal magnetic field on Rayleigh-Taylor instability

Cited by 3 publications

References 17 publications

Hydromagnetic Instability of Two Viscoelastic Dusty-Fluids in Porous Medium

Hydromagnetic Instability of Two Viscoelastic Dusty-Fluids in Porous Medium

Stability of two superposed viscoelastic fluid‐particle mixtures

Effects of General Rotation and a Horizontal Magnetic Field on the Rayleigh–Taylor Instability of Three-Fluid Layer in Porous Media

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