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

Sekar, R.; Murugan, D.

doi:10.18280/ti-ijes.620214

Cited by 3 publications

(3 citation statements)

References 37 publications

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“…Sekar et al [23] performed a linear analytical study of Soret-driven ferrothermohaline convection in an anisotropic porous medium. Sekar and Murugan [25] studied the stability analysis of ferrothermohaline convection in a Darcy porous medium with Soret and magnetic field-dependent viscosity effects.…”

Section: Introductionmentioning

confidence: 99%

Upper Bounds for the Complex Growth Rate of a Disturbance in Ferrothermohaline Convection

Ram

Prakash

Kumari

et al. 2022

Studia Geotechnica Et Mechanica

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It is proved analytically that the complex growth rate σ= σr +iσi (σr and σi are the real and imaginary parts of σ, respectively) of an arbitrary oscillatory motion of neutral or growing amplitude in ferrothermohaline convection in a ferrofluid layer for the case of free boundaries is located inside a semicircle in the right half of the σrσi -plane, whose center is at the origin and radius = R s [ 1 − M 1 ′ ( 1 − 1 M 5 ) ] P r ′ , {\rm{radius}}\, = \,\sqrt {{{{R_s}\left[{1 - M_1^{'}\left({1 - {1 \over {{M_5}}}} \right)} \right]} \over {P_r^{'}}}}, where Rs is the concentration Rayleigh number, Pr ′ is the solutal Prandtl number, M 1 ′ is the ratio of magnetic flux due to concentration fluctuation to the gravitational force, and M 5 is the ratio of concentration effect on magnetic field to pyromagnetic coefficient. Further, bounds for the case of rigid boundaries are also derived separately.

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Section: Introductionmentioning

confidence: 99%

Upper Bounds for the Complex Growth Rate of a Disturbance in Ferrothermohaline Convection

Ram

Prakash

Kumari

et al. 2022

Studia Geotechnica Et Mechanica

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“…Raju [24] investigated the effect of a temperature dependent viscosity on ferrothermohaline convection saturating an anisotropic porous medium with the Soret effect using the Galerkin technique. 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.…”

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

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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.

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“…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

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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.

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

Cited by 3 publications

References 37 publications

Upper Bounds for the Complex Growth Rate of a Disturbance in Ferrothermohaline Convection

Upper Bounds for the Complex Growth Rate of a Disturbance in Ferrothermohaline Convection

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

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