Effect of magnetic field dependent viscosity on Soret-driven ferrothermohaline convection saturating an anisotropic porous medium of sparse particle suspension

Abstract

Thermoconvective instability with Soret effect in multi-component fluids has wide range of applications in heat and mass transfer. This work deals with the theoretical investigation of the effect of magnetic field dependent (MFD) viscosity on Soret-driven ferrothermohaline convection heated and salted from below in an anisotropic porous medium subjected to a transverse uniform magnetic field. The resulting eigen value problem is solved using Brinkman model. An exact solution is obtained for the case of two free boundaries and the stationary and oscillatory instabilities are investigated by using linear stability analysis and normal mode technique for the vertical of anisotropic porous medium. The analysis has been made for different parameters like porosity, anisotropy, ratio of heat transport to mass transport, buoyancy magnetization, non-buoyancy magnetization, Soret parameter and Salinity Rayleigh number. The effect of MFD viscosity is assumed to be isotropy. It is found that the presence of MFD viscosity has a stabilizing effect, whereas magnetization has a destabilizing effect.

Effect of temperature dependent viscosity on ferrothermohaline convection saturating an anisotropic porous medium with Soret effect using the Galerkin technique

“…Furthermore, Vaidyanathan et al [20] attempted to study the Soret effect due to ferrothermohaline convection of a sparse distribution and the condition of a porous medium of ferroconvective instability of multicomponent fluid heated from below and salted from above was analyzed by Sekar et al [21][22] for isotropic and anisotropic models. The effect of rotation on thermohaline convection in a ferromagnetic fluid saturating an anisotropic porous medium with Soret effect was obtained by Sekar et al [23] and further investigation was carried out for magnetic field dependent viscosity by Sekar and Raju [24].…”

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

“…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 …”

“…The temperature dependent viscosity and Soret effects are used in study on thermohaline convection in ferrofluid saturating a porous medium which has been obtained by Sekar and Raju [21]. Sekar and Raju [22] studied the effect of magnetic field dependent viscosity on Soret-drive ferrothermohaline convection in a rotating anisotropic porous medium. This investigation has been worked in the absence of Coriolis force by Sekar and Raju [23].…”

“…Sekar and Raju [22] studied the effect of magnetic field dependent viscosity on Soret-drive ferrothermohaline convection in a rotating anisotropic porous medium. This investigation has been worked in the absence of Coriolis force by Sekar and Raju [23]. The effect of dust particles on Soret-driven ferrothermohaline convection in a porous medium has been studied by Sekar et al [24].…”

Stability analysis of ferrothermohaline convection in a Darcy porous medium with Soret and MFD viscosity effects

“…The effect of a magnetic field dependent viscosity on a Soret driven ferrothermohaline convection in a rotating porous medium was studied by Hemalatha [43]. Sekar and Raju [44][45] have studied the effect of magnetic field dependent viscosity on Soret-driven thermoconvective instability of ferromagnetic fluid in the presence of rotating and saturating an anisotropic porous medium of sparse particle suspension. More recently, the presence and absence of coriolis force on Soret driven ferrothermohaline convection staturating a densely packed anisotropic porous medium was studied by Sekar et al [46][47].…”