Effect of magnetic field on the Rayleigh Taylor instability of rotating and stratified plasma

Sharma, P. K.; Tiwari, Anita; Argal, Shraddha

doi:10.1088/1742-6596/836/1/012009

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…The following derivation process of the linear growth rate of stratified plasma in a horizontal magnetic field in this manuscript was similar to that of Sharma et al . 10 and Wu et al . 11 , except that charge conservation equation (Eq.…”

Section: Introductionmentioning

confidence: 93%

Effect of Charge accumulation on Magnetic Rayleigh-Taylor Instability

Liu

2019

Sci Rep

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The intuitive physical description of magnetic Rayleigh-Taylor instability in some textbooks is generally considered to be: a small perturbation causes current discontinuity, which produce charge accumulation, the electric field produced by the accumulated charge amplify the initial perturbation. However, in calculating the linear growth rate of magnetic Rayleigh-Taylor instability (MRTI), the displacement current term in the Maxwell’s equations is ignored, which means the contribution of charge accumulation to the growth of MRTI is totally ignored. In this article, we calculated the linear growth rate of MRTI with the displacement current term in Maxwell’s equations retained. We show that the contribution of charge accumulation to the growth of MRTI is negligible only when the nominal Alfvén speed is much smaller than the light speed. For space plasma whose nominal Alfvén speed is generally much smaller than the light speed, the linear growth rate previous calculated is right but the intuitive physical description of MRTI is wrong. For laboratory plasma whose nominal Alfvén speed maybe comparable to light speed, the intuitive physical description of MRTI is also inaccurate and the linear growth rate of MRTI is undervalued.

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Section: Introductionmentioning

confidence: 93%

Effect of Charge accumulation on Magnetic Rayleigh-Taylor Instability

Liu

2019

Sci Rep

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“…An insightful deduction came into the light when Kumar [16] stated that rotation does not impart any effect on stability or instability of configuration of rotating Oldroydian viscoelastic fluids with variable magnetic field through porous medium. Rotation factor is also studied in stratified plasma by Sharma et al [20] where they churned out the fact that the rotation (angular velocity) and magnetic field fasten Rayleigh Taylor instability by pouring stabilizing influence on configuration. Ansary et al [14] made a break through by taking two and three fluid systems.…”

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confidence: 99%

Analysis of Rayleigh Taylor instability in nanofluids with rotation

Girotra¹,

Ahuja

Verma

2022

NACO

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This article focuses on the hidden insights about the Rayleigh-Taylor instability of two superimposed horizontal layers of nanofluids having different densities in the presence of rotation factor. Conservation equations are subjected to linear perturbations and further analyzed by using the Normal Mode technique. A dispersion relation incorporating the effects of surface tension, Atwood number, rotation factor and volume fraction of nanoparticles is obtained. Using Routh-Hurtwitz criterion the stable and unstable modes of Rayleigh-Taylor instability are discussed in the presence/absence of nanoparticles and presented through graphs. It is observed that in the absence/presence of nanoparticles, surface tension helps to stabilize the system and Atwood number has a destabilizing impact without the consideration of rotation factor. But if rotation parameter is considered (in the absence/presence of nanoparticles) then surface tension destabilizes the system while Atwood number has a stabilization effect (for a particular range of wave number). The volume fraction of nanoparticles destabilizes the system in the absence of rotation but in the presence of rotation the stability of the system is significantly stimulated by the nanoparticles.

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