Browsing by Author "Aiswarya S"
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Item EFFECT OF HALL CURRENT ON THERMAL STABILITY OF SUPERPOSED FLUID AND POROUS LAYER(Journal of Computer and Mathematical Sciences, (An International Research Journal), 2018) Sumathi K; Arunachalam T; Aiswarya SA linear stability analysis of a viscous incompressible fluid saturated porous medium under the influence of vertical magnetic field in the presence of Hall current has been investigated. Asymptotic solutions of velocity, temperature, fluid vorticity, current density and magnetic field in terms of wave number as perturbation parameter are obtained. The influence of various non-dimensional parameters such as Hall current, Chandrasekhar number, magnetic Prandtl number, Prandtl number, Darcy number, porosity and wave number on stability characteristics of flow field are represented numericallyItem EFFECT OF ROTATION ON THERMAL STABILITY OF SUPERPOSED FLUID AND POROUS LAYER(International Journal of Engineering Research and Technology, 2018) Aiswarya S; Arunachalam T; Sumathi KIn this paper linear stability of a viscous incompressible fluid saturated porous medium under the influence of rotation is investigated. Closed form solutions of velocity, temperature and fluid vorticity in terms of wave number as perturbation parameter have been obtained. The influence of various nondimensional parameters such as Taylor number, Grashof number, Prandtl number, Darcy number, porosity and wave number on stability characteristics of flow field are discussed numerically.Item HEAT AND MASS TRANSFER OF MHD FREE CONVECTIVE FLOW THROUGH A POROUS MEDIUM WITH PERIODIC PERMEABILITY(International Journal of Mathematical Sciences, 2011) Sumathi K; Aiswarya S; Arunachalam TThe effect of transverse periodic variation of permeability on the heat and mass transfer and the free convective flow of viscous electrically conducting incompressible fluid through a highly porous medium bounded by an infinite vertical porous plate is investigated. Approximate analytical solutions are found to determine velocity, temperature and concentration distributions. The effects of various non-dimensional parameters Permeability Parameter (K0), Buoyancy ratio (N), Reynolds number (Re) and Schmidt number (Sc) on velocity, temperature and concentration profiles, the skin friction, the Nusselt number and the Sherwood number are studied numericallyItem LINEAR STABILITY OF FREE CONVECTIVE SUPERPOSED FLUID AND POROUS LAYER(International Journal of Applied Mathematical Analysis And Applications, 2017) Sumathi K; Arunachalam T; Aiswarya SA stability analysis of an unsteady natural convection of saturated incompressible fluid/porous interface is carried out using one domain approach. The momentum transfer in porous medium has been described by the Brinkman-extended Darcy model. Using normal mode analysis the resulting eigenvalue problem is solved by applying method of small oscillations with wave number as a perturbation parameter to get a closed form solution. The influence of various parameters like Grashof number, Prandtl number, Darcy number, depth ratio and porosity on stability characteristics of the flow is analyzed numericallyItem LINEAR STABILITY OF ROTATING VISCOELASTIC FLUID SATURATED POROUS LAYER(International Journal of Computational and Applied Mathematics, 2017) Sumathi K; Aiswarya SA stability analysis of thermal convection of a saturated rotating, viscoelasticporous layer is carried out by employing normal mode approach to linear stability. The fluid is assumed to be heated from below. To arrive at the closed form solutions, we have adopted method of small oscillations. The modified Darcy law is used to describe the fluid motion. The influence of dimensionless parameters such as relaxation, retardation, Taylor Darcy number, Rayleigh Darcy number on the stability characteristics of the flow is analyzed numerically. The analysis is restricted to long wave approximations.Item LINEAR STABILITY OF THERMO CONVECTION IN A NANOFLUID THROUGH A POROUS MEDIUM(2021-05-28) Aiswarya SThis paper aims to investigate the thermal stability of unsteady incompressible nanofluid enclosed within a porous medium using linear stability analysis. The governing equation of nanofluid is framed based on Buongiorno’s model and Darcy law is incorporated to represent flow through a porous substrate. The resulting Eigen value problem is solved by applying normal mode analysis and method of small oscillation is employed to find closed form solutions. Stability characteristics of flow fields have been discussed numericallyItem MAGNETOHYDRODYNAMIC STABILITY OF SUPERPOSED FLUID AND POROUS LAYER(International Journal of Mechanical Engineering and Technology (IJMET), 2018) Sumathi K; Aiswarya S; Arunachalam TA linear stability of a viscous incompressible fluid bounded by a saturated porous layer underlying a fluid layer in the presence of vertical magnetic field along the z direction has been investigated. The governing equations are solved by applying normal mode analysis. Eigen values and eigen functions corresponding to small oscillations with wave number as the perturbation pasrameter were determined in closed form. The effects of various non-dimensional parameters such as Chandrasekhar number, Magnetic Prandtl number, Grashof number, Darcy number, Prandtl number, porosity, wave number and depth ratio on the flow characteristics has been discussed numericallyItem STABILITY OF THERMOSOLUTAL FREE CONVECTION ON ELECTRICALLY CONDUCTING SUPERPOSED FLUID AND POROUS LAYER(International Journal of Applied Engineering Research, 2018) Sumathi K; Arunachalam T; Aiswarya SThe effect of thermosolutal convection on linear stability of an incompressible fluid in a horizontal fluid/porous interface in the presence of a vertical magnetic field has been analyzed. Asymptotic solution is obtained for rigid boundaries using normal mode analysis and the analysis is restricted to long wave approximations. The influence of various non-dimensional parameters such as Chandrasekhar number, magnetic Prandtl number, Schmidt number, Prandtl number, porosity, wave number and depth ratio on stability characteristics of flow field are represented numerically