Magnetohydrodynamic thermal instability in a conducting fluid layer with throughflow

Reza, Motahar; Gupta, A. S.

doi:10.1016/j.ijnonlinmec.2011.10.006

Cited by 12 publications

(16 citation statements)

References 15 publications

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“…The opposite results were obtained by Nield [30] in the case of a fluid layer for small amount of throughflow. Reza and Gupta [43] also stated that, with increasing the throughflow velocity, a temperature boundary layer forms at one of the boundaries. This reduces the effective thickness of the stratified layer, while the characteristic temperature difference across the layer remains constant.…”

Section: Resultsmentioning

confidence: 99%

“…They showed that although generally weak, the effect of viscous dissipation yields an increase in the critical value of the Darcy-Rayleigh number for downward throughflow and a decrease in the case of upward throughflow. The effect of vertical throughflow on the onset of thermal convection in a horizontal layer of an electrically conducting fluid contained between two rigid permeable plates and heated from below in the presence of a uniform vertical magnetic field was studied by Reza and Gupta [43] . They found that the positive throughflow is more stabilizing than the negative throughflow.…”

Section: Introductionmentioning

confidence: 99%

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Throughflow and g-jitter effects on binary fluid saturated porous medium

Kiran

2015

Appl. Math. Mech.-Engl. Ed.

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A non-autonomous complex Ginzburg-Landau equation (CGLE) for the finite amplitude of convection is derived, and a method is presented here to determine the amplitude of this convection with a weakly nonlinear thermal instability for an oscillatory mode under throughflow and gravity modulation. Only infinitesimal disturbances are considered. The disturbances in velocity, temperature, and solutal fields are treated by a perturbation expansion in powers of the amplitude of the applied gravity field. Throughflow can stabilize or destabilize the system for stress free and isothermal boundary conditions. The Nusselt and Sherwood numbers are obtained numerically to present the results of heat and mass transfer. It is found that throughflow and gravity modulation can be used alternately to heat and mass transfer. Further, oscillatory flow, rather than stationary flow, enhances heat and mass transfer.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Throughflow and g-jitter effects on binary fluid saturated porous medium

Kiran

2015

Appl. Math. Mech.-Engl. Ed.

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“…2. The reason for this according to Reza and Gupta [44] is that as we increase throughflow velocity, a temperature boundary layer forms at the one of the plates, this decreases the effective thickness of the stratified layer of fluid, while the temperature difference across the layer remains constant, thus R 0 would increase with Pe. However, due to nonlinear effects we obtain the results opposite in heat transfer.…”

Section: Resultsmentioning

confidence: 99%

“…However, due to nonlinear effects we obtain the results opposite in heat transfer. Using linear stability analysis, Reza and Gupta [44] found that upward flow stabilizes more than downward flow for two rigid plates. …”

Section: Resultsmentioning

confidence: 99%

“…When the permeability increases in the direction of the throughflow a small amount of throughflow may destabilize the transverse modes and so destabilize the layer as a whole. Reza and Gupta [44] investigated the effect of throughflow on the onset of convection in a horizontal layer of electrically conducting fluid, confined between two rigid permeable boundaries, and heated from below in the presence of a uniform vertical magnetic field. They found that magnetic field inhabits the onset of steady convection, and a positive throughflow is more stabilizing than negative throughflow.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear throughflow effects on thermally modulated porous medium

Kiran

Bhadauria

2016

Ain Shams Engineering Journal

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Effect of vertical throughflow on Darcy convection has been investigated subject to timeperiodic temperature modulation of the boundaries. The amplitudes of temperature modulation at the lower and upper surfaces are considered to be very small, and the disturbances are expanded in terms of power series of amplitude of convection. A weak nonlinear stability analysis has been performed for the stationary mode of convection, and heat transport in terms of the Nusselt number, which is governed by the non-autonomous Ginzburg-Landau equation, is calculated. The effect of vertical throughflow is found to be either to destabilize or stabilize the system for downward or upward throughflows in the case of impermeable boundary conditions. The effect of amplitude and frequency of modulation, Prandtl-Darcy number on heat transport has been analyzed and depicted graphically. Further, the study establishes that the heat transport can be controlled effectively by a mechanism that is external to the system. Ó 2015 Faculty of Engineering, Ain Shams University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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