h) 2018 - 49 Documents
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Item 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 non-dimensional 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 MAGNETOHYDRODYNAMIC STABILITY OF SUPERPOSED FLUID AND POROUS LAYER(IAEME Publication, 2018-07) 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 numerically.Item STABILITY OF NON-PARALLEL STRATIFIED SHEAR FLOWS WITH HALL EFFECT(IAEME Publication, 2018-12) Sumathi, K; Arunachalam, T; Panneerselvi, RIn this paper, we study the effect of Hall current for the case of three-dimensional non-parallel stratified shear flow of an inviscid, incompressible perfectly conducting fluid. The non-linear equations of the flow and the magnetic induction equation are obtained with the uniform applied magnetic field. These equations are linearized by assuming the perturbation from the undisturbed flow to be small. Numerical computations are carried out for the non-dimensional parameters. The effect of different physical parameters such as Magnetic Reynolds number, Magnetic pressure number, Hall parameter, Richardson number, Brunt-Vaisala frequency, longitudinal and transverse wave number are discussed with the help of graphs.