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Unsteady MHD Couette Flow Between Two Parallel Plates with Uniform Suction


Affiliations
1 Department of Mathematics, JNTU University, Ananthapur, A.P, India
2 Department of Mathematics, GITAM University, Bangalore, Karnataka, India
     

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In the present paper analysis is carried out to study on an unsteady magnetohydrodynamic flow between two parallel plates with one in uniform motion and the other plate at rest. We also incorporated the uniform suction at stationary plate. The applications of magnetohydrodynamic cover a wide range of engineering areas as power generators, aerodynamics heating, petroleum industry, cooling system, purification of crude oil, separation of matter from fluid, fluid droplets and sprays. We also discussed the physical characteristics of longitudinal and transverse velocity and pressure distributions. The arising set of partial governing differential equations (PDEs) of the flow is solved by similarity transformation. Analytical expression is given for the velocity field and the effects of the various parameters entering into the problem are discussed with the help of graph.

Keywords

MHD, Parallel Plates, Pressure Gradient, Reynolds Number, Hartmann Number.
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  • Unsteady MHD Couette Flow Between Two Parallel Plates with Uniform Suction

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Authors

P. H. Nirmala
Department of Mathematics, JNTU University, Ananthapur, A.P, India
A. Saila Kumari
Department of Mathematics, JNTU University, Ananthapur, A.P, India
C. S. K. Raju
Department of Mathematics, GITAM University, Bangalore, Karnataka, India

Abstract


In the present paper analysis is carried out to study on an unsteady magnetohydrodynamic flow between two parallel plates with one in uniform motion and the other plate at rest. We also incorporated the uniform suction at stationary plate. The applications of magnetohydrodynamic cover a wide range of engineering areas as power generators, aerodynamics heating, petroleum industry, cooling system, purification of crude oil, separation of matter from fluid, fluid droplets and sprays. We also discussed the physical characteristics of longitudinal and transverse velocity and pressure distributions. The arising set of partial governing differential equations (PDEs) of the flow is solved by similarity transformation. Analytical expression is given for the velocity field and the effects of the various parameters entering into the problem are discussed with the help of graph.

Keywords


MHD, Parallel Plates, Pressure Gradient, Reynolds Number, Hartmann Number.

References