The Soret driven thermoconvective instability in multicomponent fluids has wide applications in heat and mass transfer. This paper deals with the theoretical investigation of the effect of dust particles on a Soret-driven ferro thermohaline convection heated and soluted from below subjected to a transverse uniform magnetic field in a porous medium. The Brinkmann model is used. An exact solution is obtained for the case of two free boundaries. Both stationary and oscillatory instabilities are investigated using the linear stability analysis and normal mode technique. It is found that the system stabilizes only through stationary mode. The non-buoyancy magnetization parameter, the dust particle parameter and large values of permeability of the porous medium are found to destabilize the system. The Soret coefficient and the stable solute gradient stabilize the system. The results are presented graphically.
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In ferrofluids three components namely, the core, surfactant and carrier fluids coexist. Thermal convection in a multicomponent fluid has wide applications in industrial, ionospheric and geothermal systems. In this paper the effect of dust particles on a Soret-driven ferrothermohaline convection in a rotating system heated and soluted from below subjected to a transverse uniform magnetic field is examined using linear stability analysis. An exact solution is obtained for the case of two free boundaries. Both stationary and oscillatory instabilities are investigated. The oscillatory modes are introduced due to the presence of dust particles, the stable solute gradient and rotation and the oscillatory modes are not allowed in their absence. In the case of stationary convection, the non-buoyancy magnetization parameter, the dust particle parameter destabilize the system. The Soret-coefficient, rotation and the stable solute gradient stabilize the system. The results are presented graphically.
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This paper deals with the theoretical investigation of the combined effect of magnetic field dependent (MFD) viscosity and rotation on ferrothermohaline convection in the presence of dust particles subjected to a transverse uniform magnetic field. For a flat fluid layer contained between two free boundaries, an exact solution is obtained using a linearized stability theory and normal mode analysis method. The cases of stationary convection and oscillatory modes have been discussed. In this paper, an attempt is also made to obtain the sufficient conditions for the non-existence of overstability.
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Soret driven thermoconvective instability in multicomponent fluids has wide applications in heat and mass transfer. This paper deals with the theoretical investigation of the effect of dust particles on Soret-driven thermohaline convection in a ferrofluid, heated and soluted from below subjected to a transverse uniform magnetic field. An exact solution is obtained for the case of two free boundaries. A linear stability analysis is used. A normal mode technique is applied. Both stationary and oscillatory instabilities are investigated. It is found that the system stabilizes through stationary mode. The non-buoyancy magnetization parameter and the dust particle parameter are found to destabilize the system. The Soret coefficient and the stable solute gradient tend to stabilize the system. The results are presented graphically.
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