Gravitational instability of a composite and rotating plasma in the presence of a variable magnetic field through a porous medium

Sharma, Rajni; Rajput, Anup

doi:10.1007/bf00642690

Cited by 3 publications

(2 citation statements)

References 8 publications

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“…We consider the strata of incompressible and inviscous plasma as a fluid of electrons and immobile ions through Darcy porous medium in the presence of magnetic field B , where the relevant equations may be written, respectively (see references [12]- [25]),…”

Section: Formulation Of the Problemmentioning

confidence: 99%

Rayleigh-Taylor Instability of Magnetized Plasma through Darcy Porous Medium

Hoshoudy¹

2014

JMP

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Effects of horizontal and vertical magnetic field components on theRayleigh-Taylor instability of stratified incompressible plasmas layer of variable density through Darcy porous medium are studied. The basic magnetohydrodynamic (MHD) set of equations has been constructed and linearized. Then the linear normalized growth rate is obtained analytically as a function of the physical parameters of the system considered. Numerical calculations have been performed to see the effects of various parameters on the normalized growth rate of Rayleigh-Taylor instability. It is found that the parameter * * − < < − λ λ . The system will be more stable for the positive values of λ * .

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Section: Formulation Of the Problemmentioning

confidence: 99%

Rayleigh-Taylor Instability of Magnetized Plasma through Darcy Porous Medium

Hoshoudy¹

2014

JMP

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“…Chhajlani and Parihar have discussed the stability of self‐gravitating magnetized Hall plasma with electrical and thermal conductivity through a porous medium. Sharma and Rajput have investigated the gravitational instability of composite rotating plasma in the presence of a variable magnetic field through porous medium. Also, Sharma and Rana have studied the magnetogravitational instability of a thermally conducting rotating Rivlin–Ericksen fluid with Hall current in porous medium.…”

Section: Introductionmentioning

confidence: 99%

Magnetogravitational Instability of a Walters B’ Viscoelastic Rotating Anisotropic Heat‐Conducting Fluid in Brinkman Porous Medium

El-Sayed

Hussein

2013

Heat Trans. Asian Res.

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Instability of a Walters B′ viscoelastic rotating anisotropic heat‐conducting plasma with modified Chew–Goldberger–Low equations is discussed under a gravitational force and uniform magnetic field in a Brinkman porous medium. The general dispersion relation is obtained using normal mode analysis, and it is reduced for propagation parallel and perpendicular to the direction of the magnetic field. These conditions are discussed for the axis of rotation along and perpendicular to the magnetic field. The stability of the system in the two directions is discussed both analytically and numerically. The numerical analysis is performed to show the effects of various parameters, namely, rotation, pressure anisotropy, medium permeability, porosity of porous medium, kinematic viscosity, kinematic viscoelasticity, and heat flux on the stability of the considered system. The Jeans condition of gravitational instability is obtained for both cases of propagation. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res 43(2): 93‐112, 2014; Published online 31 July 2013 in Wiley Online Library (http://wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21064

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Gravitational instability of a non-linear magnetic fluid

Abdullah

1993

Astrophys Space Sci

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Gravitational instability of a composite and rotating plasma in the presence of a variable magnetic field through a porous medium

Cited by 3 publications

References 8 publications

Rayleigh-Taylor Instability of Magnetized Plasma through Darcy Porous Medium

Rayleigh-Taylor Instability of Magnetized Plasma through Darcy Porous Medium

Magnetogravitational Instability of a Walters B’ Viscoelastic Rotating Anisotropic Heat‐Conducting Fluid in Brinkman Porous Medium

Gravitational instability of a non-linear magnetic fluid

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