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Entropy Generation Analysis of the MHD Flow of Couple Stress Fluid between Two Concentric Rotating Cylinders with Porous Lining
Authors:G. Nagaraju  J. Srinivas  J.V. Ramana Murthy  A.M. Rashad
Affiliation:1. Department of Mathematics, GITAM University, Telangana, India;2. Department of Mathematics, National Institute of Technology Meghalaya, Shillong, India;3. Department of Mathematics, National Institute of Technology Warangal, Telangana, India;4. Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt
Abstract:An attempt has been made to study the entropy generation analysis of couple stress fluid flow in an annulus between two concentric rotating vertical cylinders. There is a porous lining attached to the inside of an outer cylinder. The flow is under the influence of a radial magnetic field. The flow in the annular gap is caused by rotation of the cylinders. The Stokes couple stress flow model is employed. The flow in the porous sleeve is governed by Darcy's law. The velocity, temperature, entropy generation number, Bejan number, wall shear stress and heat transfer rate at the inner and outer cylinders are obtained numerically by employing a finite difference scheme with vanishing of couple stresses on the boundary. The effect of relevant parameters on the flow and entropy generation rate are discussed and depicted through graphs.
Keywords:MHD flow  couple stress fluid  Darcy law  Beavers and Joseph condition
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