Hall Effect on Bénard Convection of Compressible Viscoelastic Fluid through Porous Medium

Singh, Mahipal; Mehta, Chander Bhan

doi:10.1155/2013/910531

Cited by 4 publications

(1 citation statement)

References 12 publications

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“…The effect of Hall current on the thermal instability of a horizontal layer of conducting fluid was studied by Sherman (1966), Gupta (1967), Palese and Georgescu (2004), Rani and Tomar (2010). An extension to the porous medium case was made by Raptis and Ram (1984), Sharma and Gupta (1993), Sunil and Sigh (2000), Kumar and Mohan (2012) and Singh and Mehta (2013). They were found that the Hall current parameter has destabilizing effect on the system.…”

Section: Introductionmentioning

confidence: 99%

Effect of Hall Current on the Onset of MHD Convection in a Porous Medium Layer Saturated by a Nanofluid

Yadav

Mohamed

Cho³

et al. 2016

JAFM

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In this study, the effect of Hall current on the criterion for the onset of MHD convection in a porous medium layer saturated by a nanofluid is investigated. The model used for nanofluid combines the effect of Brownian motion and thermophoresis, while for a porous medium Brinkman model is used. A physically more realistic boundary condition than the previous ones on the nanoparticle volume fraction is considered i.e. the nanoparticle flux is assumed to be zero rather than prescribing the nanoparticle volume fraction on the boundaries. Using linear stability theory, the exact analytical expression for critical Rayleigh Darcy number is obtained in terms of various non-dimensional parameters. Results indicate that the magnetic field, Hall current, porous medium and nanoparticles significantly influence the stability characteristics of the system. The increase in the Hall current parameter, the Lewis number, the modified diffusivity ratio and the concentration Rayleigh Darcy number is to hasten the onset of convection while the magnetic Darcy number, the porosity parameter and the Darcy number has stabilized on the onset of convection.

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Section: Introductionmentioning

confidence: 99%

Effect of Hall Current on the Onset of MHD Convection in a Porous Medium Layer Saturated by a Nanofluid

Yadav

Mohamed

Cho³

et al. 2016

JAFM

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Jeans instability of quantum plasma under the influence of hall effect

Pensia¹,

Sutar

Kumar³

et al. 2019

AIP Conference Proceedings

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We investigate the Jeans instability of magnetized quantum plasma including the effect of Hall current. The dispersion relation and numerical calculation have been performed QMHD model and normal mode analysis technique. The general dispersion relation is further reduced for the longitudinal and transverse to the direction of the magnetic field. In the case of longitudinal propagation, the Jeans criterion of instability is modified by quantum correction and porosity but the growth rate of instability is influenced by Hall current. From the curve, we find that the magnetic field and quantum correction have stabilizing effect while the electrical resistivity has a destabilizing influence on the system.

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Influence of the Hall current on the convective and magnetorotational instability in a thin layer of an electrically conductive nanofluid

Kopp

Yanovsky

2022

Physics of Fluids

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This study investigates the combined influence of the Hall current and the axial magnetic field on the criterion for the onset of convection in a nonuniformly rotating layer of electrically conductive nanofluids taking into account the effects of Brownian diffusion and thermophoresis. The analytical and numerical computations are presented for water-based nanofluids with alumina nanoparticles. In the absence of a temperature gradient, a new type of magnetorotational instability in an axial magnetic field in a thin layer of a nanofluid is considered. The growth rate and regions of development of this instability are numerically obtained depending on the angular velocity profile (the Rossby number Ro) and the radial wavenumber k. In the presence of temperature and nanoparticle concentration gradients, the stationary regime of nonuniformly rotating magnetoconvection is studied. The exact analytical expression for critical Rayleigh number [Formula: see text] is obtained in terms of various nondimensional parameters. The results indicate that the increase in the Lewis number, the modified diffusivity ratio, and the concentration Rayleigh number is to accelerate the onset of convection. The increase in the Hall current parameter can delay or enhance the onset of convective instability. Rotation profiles with negative Rossby numbers lower the threshold for the development of thermal instability and stimulate the onset of convection. The conditions for stabilization and destabilization of stationary convection in an axial magnetic field are determined. The results are represented graphically and verified numerically.

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Hall Effect on Bénard Convection of Compressible Viscoelastic Fluid through Porous Medium

Cited by 4 publications

References 12 publications

Effect of Hall Current on the Onset of MHD Convection in a Porous Medium Layer Saturated by a Nanofluid

Effect of Hall Current on the Onset of MHD Convection in a Porous Medium Layer Saturated by a Nanofluid

Jeans instability of quantum plasma under the influence of hall effect

Influence of the Hall current on the convective and magnetorotational instability in a thin layer of an electrically conductive nanofluid

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