Stability analysis of thermohaline convection in ferromagnetic fluid in densely packed porous medium with Soret effect

Abstract

The study of ferrothermohaline convection, double diffusive convection with Soret and Dufour effects have drawn the attention of researchers for the past four decades due to their remarkable applications. The Soret-driven ferrothermoconvective instability in a porous medium heated from below and salted from above has been analyzed using Darcy model for various values of parameters. A small thermal perturbation is applied to the basic state and linear stability analysis is used for which normal mode technique is applied. It is found that the presence of porous medium favours the onset of convection. The present work has been carried out both for oscillatory as well as stationary modes with graphical representation.

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

“…By considering Darcy model, the role of Soret effect on thermohaline convection in dusty ferrofluid saturating a porous medium in the presence of a uniform vertical magnetic field is investigated theoretically for different permeabilities in the range of 0.001-0.009 [18]. The present analysis has been carried out through stationary and oscillatory instabilities.…”

“…M 1 is taken to be 1000 [19]. For a very large value of M 1 , the effect of magnetic mechanism is very large in comparison with buoyancy effect [17][18][19][20]. M 2 is assumed to have negligible value for these types of fluids and hence taken to be zero [21].…”

“…M 2 is assumed to have negligible value for these types of fluids and hence taken to be zero [21]. The non-buoyancy magnetization parameter M 3 is in the range of values from 5 to 25 because M 3 cannot take value less than one [14][15][16][17][18][19]. The ratio of momentum diffusivity and thermal diffusivity (Prandtl number P s ) is assumed to be 0.01 and 0.001.…”

“…Let the components of perturbed magnetization and magnetic field can be taken as [ , Further analysis has been carried out using the analyses similar to [17][18][19][20][21][22][23][24]. The vertical component of the momentum equation can be written as …”

“…Sekar et al [17] further studied the analysis to the condition of a porous medium of ferro convective instability of multi-component fluid heated from below and salted from above using Brinkman model. This work has studied for Darcy model by Sekar et al [18].…”