Linear Stability Effect of Densely Distributed Porous Medium and Coriolis Force on Soret Driven Ferrothermohaline Convection

Sekar, R.; Murugan, D.

doi:10.2478/ijame-2018-0051

Cited by 3 publications

(3 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Sekar et al [25] carried out the stability analysis of ferrothermohaline convection in a Darcy porous medium with Soret and MFD viscosity effects. Sekar et al [26] studied the linear stability effect of densely distributed porous medium and Coriolis force on the Soret driven ferrothermohaline convection. Arunkumar et al [27] investigated the effect of MFD viscosity on Benard-Marangoni ferroconvection in a rotating ferrofluid layer.…”

Section: Introductionmentioning

confidence: 99%

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

Murugan

Sekar

2021

International Journal of Applied Mechanics and Engineering

Self Cite

View full text Add to dashboard Cite

The effect of magnetic field dependent (MFD) viscosity on Soret driven ferrothermohaline convection in a densely packed anisotropic porous medium has been studied. The Soret effect is focused on the system. A linear stability analysis is carried out using a normal mode technique and a perturbation method is applied. It is found that a stationary mode is favorable for the Darcy model. Vertical anisotropy tends to destabilize the system and the magnetization effect is found to stabilize the system. It is also found that the MFD viscosity delays the onset of convection. Numerical computations are made and illustrated graphically.

show abstract

Section: Introductionmentioning

confidence: 99%

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

Murugan

Sekar

2021

International Journal of Applied Mechanics and Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…Sekar et al (2018, 2013) analyzed the presence and absence of Coriolis force on stability analysis of thermohaline convection in ferromagnetic fluid in densely packed porous medium with Soret effect. Sekar and Murugan (2019, 2018a, 2018b) derived the presence and absence of Coriolis force and anisotropy effect on Stability analysis of ferrothermohaline convection in a Darcy porous medium with Soret and MFD viscosity effects.…”

Section: Introductionmentioning

confidence: 99%

A numerical technique and effect of magnetic field dependent (MFD) viscosity on thermal instability in a ferrofluid pores with Coriolis force for Darcy model

Murugan

Sekar

2021

WJE

Self Cite

View full text Add to dashboard Cite

Purpose The effect of magnetic field dependent (MFD) viscosity on the onset of convection in a ferromagnetic fluid layer heated from below saturating rotating porous medium in the presence of vertical magnetic field is investigated theoretically by using Darcy model. The resulting eigen value problem is solved using the regular perturbation technique. Both stationary and oscillatory instabilities have been obtained. It is found that increase in MFD viscosity and increase in magnetic Rayleigh number is to delay the onset of ferroconvection, while the nonlinearity of fluid magnetization has no influence on the stability of the system. Design/methodology/approach The thermal perturbation method is employed for analytical solution. A theory of linear stability analysis and normal mode technique have been carried out to analyze the onset of convection for a fluid layer contained between two impermeable boundaries for which an exact solution is obtained. Findings The conditions for the system to stabilize both by stationary and oscillatory modes are studied. Even for the oscillatory system of particular frequency dictated by physical conditions, the critical Rayleigh numbers for oscillatory mode of the system were found to be greater than for the stationary mode. The system gets destabilized for various physical parameters only through stationary mode. Hence, the analysis is restricted to the stationary mode. To the Coriolis force, the Taylor number Ta is calculated to discuss the results. It is found that the system stabilizes through stationary mode for values of and for oscillatory instability is favored for Ta > 104. Therefore the Taylor number Ta leads to stability of the system. For larger rotation, magnetization leads to destabilization of the system. The MFD viscosity is found to stabilize the system. Originality/value This research paper is new and original.

show abstract

“…Currently, a significant body of literature exists devoted to ferroconvection. For a broad overview of the subject one may be referred to Shliomis [5], Odenbach [6], Suslov [7], Rahman and Suslov [8] and Sekar and Murugan [9].…”

Section: Introductionmentioning

confidence: 99%

The Effect of Magnetic Field Dependent Viscosity on Ferromagnetic Convection in a Rotating Sparsely Distributed Porous Medium - Revisited

Prakash

Kumar

Manan³

et al. 2020

International Journal of Applied Mechanics and Engineering

View full text Add to dashboard Cite

The effect of magnetic field dependent (MFD) viscosity on the thermal convection in a ferrofluid layer saturating a sparsely distributed porous medium has been investigated by using the Darcy-Brinkman model in the simultaneous presence of a uniform vertical magnetic field and a uniform vertical rotation. A correction is applied to the study of Vaidyanathan et al. [11] which is very important in order to predict the correct behavior of MFD viscosity. A linear stability analysis has been carried out for stationary modes and oscillatory modes separately. The critical wave number and critical Rayleigh number for the onset of instability, for the case of free boundaries, are determined numerically for sufficiently large values of the magnetic parameter M1. Numerical results are obtained and are illustrated graphically. It is shown that magnetic field dependent viscosity has a destabilizing effect on the system for the case of stationary mode and a stabilizing effect for the case of oscillatory mode, whereas magnetization has a destabilizing effect.

show abstract

Linear Stability Effect of Densely Distributed Porous Medium and Coriolis Force on Soret Driven Ferrothermohaline Convection

Cited by 3 publications

References 20 publications

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

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

A numerical technique and effect of magnetic field dependent (MFD) viscosity on thermal instability in a ferrofluid pores with Coriolis force for Darcy model

The Effect of Magnetic Field Dependent Viscosity on Ferromagnetic Convection in a Rotating Sparsely Distributed Porous Medium - Revisited

Contact Info

Product

Resources

About