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Heat Transfer Research
インパクトファクター: 1.199 5年インパクトファクター: 1.155 SJR: 0.267 SNIP: 0.503 CiteScore™: 1.4

ISSN 印刷: 1064-2285
ISSN オンライン: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.v40.i4.60
pages 351-378

A Nonlinear Stability Analysis of a Rotating Double-Diffusive Magnetized Ferrofluid Saturating a Porous Medium

Sunil
Department of Mathematics, National Institute of Technology, Hamirpur, (H.P.) 177005, India
Poonam Sharma
Department of Applied Sciences, National Institute of Technology, Hamirpur, 177 005, India
Amit Mahajan
Department of Applied Sciences, National Institute of Technology, Hamirpur, 177 005, India; Department of Mathematics and Statistics, University of Windsor, Windsor, Ontario, N9B3P4, Canada

要約

Thermal stability in a layer of a double-diffusive ferrofluid rotating about an axis orthogonal to the layer in the direction of gravity saturated by a porous medium for the stress-free boundaries is investigated by nonlinear analysis. A rigorous nonlinear stability result is derived by introducing a generalized energy functional. A comparison with the linear instability theory shows that there is a considerable difference between the critical values of magnetic thermal Rayleigh numbers and thus indicates the possibility of subcritical instabilities. However, it is noted that, in case of non-ferrofluid, the global nonlinear stability Rayleigh number is exactly the same as that for linear instability. For lower values of magnetic parameters, this coincidence is immediately lost. The effect of the magnetic parameter, M3, solute gradient, Sf, Taylor number, TA1, and Darcy number, Da, on the sub-critical instability region have also been analyzed. We also demonstrate coupling between the buoyancy and magnetic forces in the nonlinear energy stability analysis.


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