每年出版 18 期
ISSN 打印: 1064-2285
ISSN 在线: 2162-6561
Indexed in
A Nonlinear Stability Analysis of a Rotating Double-Diffusive Magnetized Ferrofluid Saturating a Porous Medium
摘要
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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