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3 International Journal of Applied Mechanics and Engineering

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Effect of soret and temperature dependent viscosity on thermohaline convection in a ferrofluid saturating a porous medium

Sekar R., Raju K.

International Journal of Applied Mechanics and Engineering

2014

Vol. 19, no. 2

321--336

Soret driven ferrothermoconvective instability in multi-component fluids has a wide range of applications in heat and mass transfer. This paper deals with the theoretical investigation of the effect of temperature dependent viscosity on a Soret driven ferrothermohaline convection heated from below and salted from above subjected to a transverse uniform magnetic field in the presence of a porous medium. The Brinkman model is used in the study. It is found that the stationary mode of instability is preferred. For a horizontal fluid layer contained between two free boundaries an exact solution is examined using the normal mode technique for a linear stability analysis. The effect of salinity has been included in magnetization and density of the fluid. The critical thermal magnetic Rayleigh number for the onset of instability is obtained numerically for sufficiently large values of the buoyancy magnetization parameter M1 using the method of numerical Galerkin technique. It is found that magnetization and permeability of the porous medium destabilize the system. The effect of temperature dependent viscosity stabilizes the system on the onset of convection.

Double diffusive convection in a high porosity anisotropic porous medium with externally regulated darcy and brinkman frictions

Siddheshwar P. G., Vanishree R. K.

International Journal of Applied Mechanics and Engineering

2011

Vol. 16, no 4

1147-1168

A linear stability analysis is performed on the double diffusive porous system using the Rayleigh-Ritz technique. The condition for direct and Hopf bifurcations is obtained as a function of the parameters of the problem. A unique feature in this problem is that Darcy and Brinkman friction are temperature-dependent and hence are amenable to regulation. The study reveals that this external regulation of convection results in a preference for stationary convection over oscillatory mode. A low-porosity medium results for "finger" and "diffusive" instabilities are also discussed in the case of constant viscosity liquids.

Flow of a magneto-micropolar fluid with temperature dependent viscosity and thermal conductivity past a continuously moving plate

Modather M., Abdou M.

International Journal of Applied Mechanics and Engineering

2009

Vol. 14, no 2

461-471

A boundary layer analysis has been presented to study heat transfer with the effects of temperature dependent viscosity and thermal conductivity in the laminar, viscous, incompressible, electrically conducting, micropolar fluid past a continuously moving plate in the presence of a transverse magnetic field. The governing equations are transformed to dimensionless similarity boundary layer equations. Numerical solutions are given for the governing momentum, angular momentum and energy equations using the shooting method. The effects of the magnetic field parameter, the viscosity variation parameter, thermal conductivity variation parameter and micropolar parameter on the skin friction, wall couple stress and rate of heat transfer are discussed.