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C, Balaji
- Ferroconvection in a Sparsely Distributed Porous Medium with Time-dependent Sinusoidal Magnetic Field
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1 Department of Mathematics, School of Engineering, Presidency University, Bengaluru 560064, IN
1 Department of Mathematics, School of Engineering, Presidency University, Bengaluru 560064, IN
Source
Journal of Mines, Metals and Fuels, Vol 70, No 3A (2022), Pagination: 28-34Abstract
The stability of a horizontal sparsely packed porous layer of a ferromagnetic fluid heated from below is examined when the fluid layer is subjected to time-dependent magnetic field modulation. The effects of the oscillating magnetic field are treated by a perturbation expansion in powers of the amplitude of the applied field. The onset criterion is derived based on the condition that the principle of exchange of stabilities is valid. The stability of the system, characterized by a correction Rayleigh number, is computed as a function of magnetic, porous parameters and the frequency of magnetic field modulation. It is found that the onset of magnetic field modulated ferroconvection can be delayed or advanced by controlling these parameters. The effect of various parameters is found to be significant for moderate values of the frequency of magnetic field modulation. The problem throws some light on external means of regulating convection in ferromagnetic fluid applications.Keywords
Ferromagnetic fluid, magnetic field modulation, perturbation method, stability, porous medium.
References
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- Effect of Electric Field Modulation on Electroconvection In a Dielectric Fluid-saturated Porous Medium
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Authors
Affiliations
1 Department of Mathematics, School of Engineering, Presidency University, Bengaluru 560064, IN
1 Department of Mathematics, School of Engineering, Presidency University, Bengaluru 560064, IN
Source
Journal of Mines, Metals and Fuels, Vol 70, No 3A (2022), Pagination: 35-41Abstract
The stability of a horizontal sparsely packed porous layer of a dielectric fluid heated from below is examined when the fluid layer is subjected to time-dependent electric field modulation. The dielectric constant is assumed to be a linear function of temperature. The regular perturbation method is used to find the critical Rayleigh number and the corresponding wavenumber for small amplitude electric field modulation. The stability of the system characterized by a correction Rayleigh number is computed as a function of thermal, electric, and porous parameters, and the frequency of electric field modulation. It is found that the onset of electro-convection can be delayed or advanced by the presence of these parameters. The effect of various parameters is found to be significant for moderate values of the frequency of electric field modulation. Some of the known results are recovered as special cases of the present study. The findings of the present study have possible implications in the control of electro-convection with a time-varying electric field.Keywords
Convection, Darcy-Brinkman model, dielectric fluid, electric field, modulation.References
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- Effect of MFD Viscosity on Ferroconvection in a Fluid Saturated Porous Medium with Variable Gravity
Abstract Views :64 |
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Authors
Affiliations
1 Dept. of Mathematics, School of Engineering, Presidency University, Bangalore 560064,, IN
2 Dept. of Mathematics, School of Engineering, Presidency University, Bangalore 560064,
1 Dept. of Mathematics, School of Engineering, Presidency University, Bangalore 560064,, IN
2 Dept. of Mathematics, School of Engineering, Presidency University, Bangalore 560064,
Source
Journal of Mines, Metals and Fuels, Vol 70, No 3A (2022), Pagination: 98-103Abstract
Convective instability of a horizontal ferromagnetic fluid saturated porous layer with magnetic field dependent (MFD) viscosity subjected to gravity field varying with distance in the layer is investigated. The fluid motion is described by the Brinkman model. The method of small perturbation is applied and the resulting eigenvalue problem is solved using the higher order Galerkin technique. The stationary instability is shown to be the preferred mode of instability and the resulting eigenvalue problem is solved by taking into account the realistic rigidrigid- isothermal boundary conditions. The study reveals that the effect of MFD viscosity is to delay the onset of ferroconvection and the stabilizing effect of MFD viscosity is reduced when the magnetic Rayleigh number is sufficiently large. In the presence of variable gravity, the effect of magnetic and non-magnetic parameters on ferroconvective instability is also discussed.Keywords
Ferrofluid, MFD viscosity, porous media, magnetic field, variable gravityReferences
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