Effect of Cubic Temperature Profiles on Ferro Convection in a Brinkman Porous Medium

Abstract

The effect of cubic temperature profiles on the onset ferroconvection in a Brinkman porous medium in presence of a uniform vertical magnetic field is studied. The lower and upper boundaries are taken to be rigidisothermal and ferromagnetic. The Rayleigh-Ritz method with Chebyshev polynomials of the second kind as trial functions is employed to extract the critical stability parameters numerically. The results indicate that the stability of ferroconvection is significantly affected by cubic temperature profiles and the mechanism for suppressing or augmenting the same is discussed in detail.

Saturated Porous Ferroconvection in a Ferrofluid Layer with Viscosity as a Function of Magnetic Field: Focus on Convective Boundary Condition

“…Shivakumara et al, [13] analyzed the impact of vertical permeability heterogeneity on the onset of ferroconvection in a horizontal layer of magnetized Darcy porous media that is saturated with ferrofluid for various permeability function forms. Nanjundappa et al, [14] elucidated the influence of cubic temperature profiles on the initiation of ferroconvection in a Brinkman porous medium under a uniform vertical magnetic field. Control volume based finite element method was employed by Li et al, [15] to simulate ferrofluid migration due to magnetic forces in a porous cylinder using a single-phase model to predict nanofluid characteristics.…”