A nonlinear stability analysis for thermoconvective magnetized ferrofluid with magnetic field dependent viscosity

2008 ◽  
Vol 35 (10) ◽  
pp. 1281-1287 ◽  
Author(s):  
Sunil ◽  
Poonam Sharma ◽  
Amit Mahajan
Keyword(s):  
Magnetic Field ◽  
Stability Analysis ◽  
Nonlinear Stability ◽  
Nonlinear Stability Analysis ◽  
Field Dependent ◽  
Magnetized Ferrofluid ◽  
Magnetic Field Dependent Viscosity ◽  
Dependent Viscosity

A nonlinear stability analysis in a double-diffusive magnetized ferrofluid with magnetic-field-dependent viscosity saturating a porous medium

2009 ◽  
Vol 87 (6) ◽  
pp. 659-673 ◽  
Author(s):  
Sunil ◽  
Amit Mahajan
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Nonlinear Stability ◽  
Stability Result ◽  
Darcy Number ◽  
Linear Instability ◽  
Nonlinear Stability Analysis ◽  
Field Dependent ◽  
Magnetized Ferrofluid ◽  
Mfd Viscosity

A rigorous nonlinear stability result is derived by introducing a suitable generalized energy functional for a magnetized ferrofluid layer heated and soluted from below with magnetic-field-dependent (MFD) viscosity saturating a porous medium, in the stress-free boundary case. The mathematical emphasis is on how to control the nonlinear terms caused by the magnetic-body and inertia forces. For ferrofluids, we find that there is possibility of existence of subcritical instabilities, however, it is noted that, in case of a non-ferrofluid, the global nonlinear stability Rayleigh number is exactly the same as that for linear instability. For lower values of magnetic parameters, this coincidence is immediately lost. The effect of the magnetic parameter, M3; solute gradient, Sf; Darcy number, Da; and MFD viscosity parameter, δ; on the subcritical instability region has also been analyzed.

scholarly journals Study of magnetic field dependent viscosity on a soret driven ferrothermohaline convection in a rotating porous medium

2014 ◽  
Vol 19 (1) ◽  
pp. 61-77
Author(s):  
R. Hemalatha
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Taylor Number ◽  
Thermohaline Convection ◽  
Wide Range ◽  
Field Dependent ◽  
Magnetic Field Dependent Viscosity ◽  
Dependent Viscosity ◽  
The Magnetic Field ◽  
Oscillatory Instabilities

Abstract The effect of a magnetic field dependent viscosity on a Soret driven ferro thermohaline convection in a rotating porous medium has been investigated using the linear stability analysis. The normal mode technique is applied. A wide range of values of the Soret parameter, magnetization parameter, the magnetic field dependent viscosity, Taylor number and the permeability of porous medium have been considered. A Brinkman model is used. Both stationary and oscillatory instabilities have been obtained. It is found that the system stabilizes only through oscillatory mode of instability. It is found that the magnetization parameter and the permeability of the porous medium destabilize the system and the Soret parameter, the magnetic field dependent viscosity and the Taylor number tend to stabilize the system. The results are presented numerically and graphically

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