Stability analysis of soret effect on thermohaline convection in dusty ferrofluid saturating a Darcy porous medium

Abstract

The Soret-driven ferro thermoconvective instability of multi-component fluid in a porous medium heated from below and salted from above in the presence of dust particles subjected to a transverse uniform magnetic field has been analyzed using Darcy model for various values of permeability of the porous medium. The salinity effect has been contained in magnetization and density of the ferrofluid. A small thermal perturbation imparted on the basic state and a linear stability analysis is used for this model for which normal mode technique is applied. An exact solution is obtained for the case of two free boundaries and both stationary and oscillatory instabilities have been investigated. It is found that the system destabilizes only through stationary mode. The non-buoyancy magnetization parameter, the dust particle parameter and the permeability of the porous medium are found to destabilize the system. The results are depicted graphically.

Study of Double Slip Boundary Condition on the Oscillatory Flow of Dusty Ferrofluid Confined in a Permeable Channel

“…Sunil et al [1] reported that for very high values of the magnetic parameter, ferrofluid reacts like a usual fluid while examining the influence of dust particles on ferrofluid in the presence of the magnetic field. Sekar and Raju [2] analyzed the stability of Soret effects on dusty ferrofluid. They reported that the system was considered unstable due to the absorption of the porous media and dust particle parameters.…”

Weakly Nonlinear Thermohaline Rotating Convection in a Sparsely Packed Porous Medium due to Horizontal Magnetic Field

“…Effects of horizontal magnetic field and rotation of thermohaline convection through porous medium studied by Sharma et al [20], Sunil et al [21], Singh et al [22], Kumar [23] and Abdullah et al [24]. Sekar and Raju [25] studied soret effect on the thermohaline convection in dusty ferrofluid saturating a darcy porous medium, used darcy model and studied linear stability conditions for the onset of stationary and oscillatory convection.…”

The Onset of Soret Driven Ferrothermoconvective Instability in the Presence of Darcy Porous Medium with Anisotropy Effect and MFD Viscosity

“…Selvaraj et al [18] investigated convective instability of strongly magnetized ferrofluids. Sekar et al [19] carried out the stability analysis of the Soret effect on thermohaline convection in a dusty ferrofluid saturating a Darcy porous medium.…”