The effect of magnetic 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.
The effect of Coriolis force on the Soret driven ferrothermohaline convection in a densely packed porous medium has been studied. A linear stability analysis is carried out using normal mode technique. It is found that stationary convection is favorable for the Darcy model, therefore oscillatory instability is studied. A small thermal perturbation is applied to the basic state and linear stability analysis is used for which the normal mode technique is applied. It is found that the presence of a porous medium favours the onset of convection. The porous medium is assumed to be variable and the effect of the permeable parameter is to destabilize the system. The present work has been carried out both for oscillatory as well as stationary instabilities. The results are depicted graphically.
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.
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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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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 rotation on a Soret-driven ferrothermohaline convection heated and soluted from below subjected to a transverse uniform magnetic field in the presence of dust particles saturating a porous medium. 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. 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. For the case of stationary convection, the non-buoyancy magnetization parameter, the dust particle parameter and large values of permeability of the porous medium destabilize the system. The soret coefficient, rotation and the stable solute gradient stabilize the system. The results are presented graphically.
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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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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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