The Rayleigh Taylor instability of superposed partially-ionized plasmas

Ogbonna, Nkem; Bhatia, P. K.

doi:10.1007/bf00653739

Cited by 10 publications

(8 citation statements)

References 4 publications

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“…In order to perform the numerical interpretation on the growth rate of R-T instability of two superposed slow rotating plasmas with suspended dust particles we write the dispersion relation (23) in dimensionless form and we get…”

Section: Discussion Of the Dispersion Relationmentioning

confidence: 99%

“…In order to see the effect of slow rotation on the growth rate of R-T instability, we write the general dispersion relation (23) in absence of suspended dust particles and we get…”

Section: Absence Of Suspended Dust Particles Only (τ = α = 0)mentioning

confidence: 99%

“…In the other study, Sharma [22] has also discussed the R-T instability of rotating superposed fluids through porous medium. The R-T instability of two superposed partially ionized plasma is discussed by Ogbonna and Bhatia [23] for non--rotating viscid case. Bhatia and Chhonkar [24] have studied the effect of rotation in x-direction in case of superposed fluids having the interface in the x-y plane with gravity in z-direction.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Surface Tension and Rotation on Rayleigh-Taylor Instability of Two Superposed Fluids with Suspended Particles

2010

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The Rayleigh-Taylor instability of two superposed incompressible fluids of different densities in the presence of small rotation, surface tension and suspended dust particles is investigated. The linearized equations of the problem are constructed and the general dispersion relation is obtained using normal mode analysis by applying the appropriate boundary conditions. The effects of surface tension, the Atwood number, small rotation and suspended dust particles are studied on both conditions of Rayleigh-Taylor instability and growth rate of the unstable Rayleigh-Taylor mode. The numerical calculations have been performed to see the effect of rotation, the Atwood number, relaxation frequency and mass concentration of suspended dust particles. It is found that the growth rate of Rayleigh-Taylor instability depends upon the mass concentration and relaxation frequency of suspended dust particles. The uniform small rotation, relaxation frequency and mass concentration of suspended dust particles all have stabilizing influence on the growth rate of Rayleigh-Taylor instability. It is also found that the Atwood number has destabilizing influence on the growth rate of the considered Rayleigh-Taylor configuration.

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Section: Discussion Of the Dispersion Relationmentioning

confidence: 99%

“…In order to see the effect of slow rotation on the growth rate of R-T instability, we write the general dispersion relation (23) in absence of suspended dust particles and we get…”

Section: Absence Of Suspended Dust Particles Only (τ = α = 0)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of Surface Tension and Rotation on Rayleigh-Taylor Instability of Two Superposed Fluids with Suspended Particles

2010

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“…For more realistic situation one should study the case of viscous fluids, since viscosity would obviously impact the growth of deterioration rates of perturbations. Problem for two superposed viscous partially ionized plasmas has been studied by Ogbonna and Bhatia [5].…”

Section: Introductionmentioning

confidence: 99%

Rayleigh Taylor Problem in Magnetohydrodynamics Through Porous Medium

2015

IJAERD

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Two semi-infinite incompressible fluids of equal kinematic and magnetic viscosities but differing density ρ 1 , ρ 2 lies at rest in a uniform gravitational field perpendicular to the plane interface between them. A uniform horizontal magnetic field pervades the system. The growth rate 'n' of the Rayleigh Taylor instability develop when the denser fluid (ρ 1 ) overlies the lighter fluid (ρ 2 ) is deduced as a function of the horizontal wave number. The problem has been analyzed through normal mode technique and solved numerically. The results are shown graphically. It has been found that the viscosity and permeability of porous medium have stabilizing influence. Several researchers have studied the effects of permeability of the porous medium on the different instability problems in view of the importance of such studies in rocks and heavy oil recovery. The physical properties of the comets, meteorites and inter planetary dust strongly the significance of the effects of porosity in astrophysical context.

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“…Rob erts [2] has in ves ti gated the ef fect of fi nite ki ne matic vis cos ity and mag netic re sis tiv ity on the R-T in sta bility of two superposed in com press ible flu ids. Ogbonna et al [3] have an a lyzed the sta bil ity of a plane in ter face sep a rat ing two vis cous superposed flu ids and con cluded that the sta bil ity cri terion is in de pend ent of vis cos ity but the mag netic field has sta bi liz ing in flu ence. Mikaelian [4] has dis cussed the ef fect of vis cos ity on the R-T in sta bil ity.…”

Section: Introductionmentioning

confidence: 99%

Rayleigh-Taylor instability of two superposed magnetized viscous fluids with suspended dust particles

2010

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The linear Rayleigh-Taylor instability of two superposed incompressible magnetized fluids is investigated incorporating the effects of suspended dust particles and viscosity. The basic magnetohydrodynamic set of equations have been constructed and linearized. The dispersion relation for 2-D and 3-D perturbations is obtained by applying the appropriate boundary conditions. The condition of Rayleigh-Taylor instability is investigated for potentially stable and unstable modes, which depends upon magnetic field, viscosity and suspended dust particles. The stability of the system is discussed by applying the Routh-Hurwitz criterion. It is found that the Alfven mode comes into the dispersion relation for perturbations in x, y-directions and in only x-direction, while it does not come into y-directional perturbation. The stable configuration is found to remain stable even in the presence of suspended dust particles. Numerical calculations have been performed to see the effects of various parameters on the growth rate of Rayleigh-Taylor instability. It is found that magnetic field and relaxation frequency of suspended dust particles both have destabilizing influence on the growth rate of Rayleigh-Taylor instability. The effects of kinematic viscosity and mass concentration of dust particles are found to have stabilized the growth rate of linear Rayleigh-Taylor instability.

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The Rayleigh Taylor instability of superposed partially-ionized plasmas

Cited by 10 publications

References 4 publications

Effect of Surface Tension and Rotation on Rayleigh-Taylor Instability of Two Superposed Fluids with Suspended Particles

Effect of Surface Tension and Rotation on Rayleigh-Taylor Instability of Two Superposed Fluids with Suspended Particles

Rayleigh Taylor Problem in Magnetohydrodynamics Through Porous Medium

Rayleigh-Taylor instability of two superposed magnetized viscous fluids with suspended dust particles

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