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多孔介质期刊
影响因子: 1.49 5年影响因子: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v8.i6.30
pages 569-588

Effect of Magnetic-Field-Dependent Viscosity on a Rotating Ferromagnetic Fluid Heated and Soluted from Below, Saturating a Porous Medium

Sunil
Department of Mathematics, National Institute of Technology, Hamirpur, (H.P.) 177005, India
Divya
Department of Applied Sciences, National Institute of Technology, Hamirpur, (H.P.)-177 005, India
R. C. Sharma
Department of Mathematics, Himachal Pradesh University, Summer Hill, Shimla 171 005, India

ABSTRACT

The paper deals with the linear stability analysis of a rotating ferromagnetic fluid heated and soluted from below, saturating a porous medium in the presence of a uniform vertical magnetic field. The effect of magnetic-field-dependent viscosity is incorporated in the analysis. The exact solution is obtained for a fluid layer contained between two free boundaries that are constrained flat. For the case of stationary convection, rotation, stable solute gradient, and magnetic field-dependent viscosity have a stabilizing effect on the onset of instability, whereas magnetization and medium permeability may have destabilizing or stabilizing effects. The critical wave number and the critical magnetic thermal Rayleigh number for the onset of instability are also determined numerically for sufficiently large values of buoyancy magnetization parameter M1 and the results are depicted graphically. The principle of exchange of stabilities is found to hold true for the ferromagnetic fluid saturating a porous medium heated from below in the absence of stable solute gradient and rotation. The oscillatory modes are introduced due to the presence of the stable solute gradient and rotation, which were nonexistent in their absence. A sufficient condition for the nonexistence of overstability is also obtained.


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