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MHD flow and heat transfer for the upper-convected Maxwell fluid over a stretching sheet
Authors:M Subhas?Abel  Jagadish V Tawade  Mahantesh M Nandeppanavar
Institution:(1) Department of Mathematics, Bangalore University, Bangalore, 560001, India;(2) Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA;(3) Faculty of Mathematics, Babeş-Bolyai University, 400082 Cluj-Napoca, CP 253, Romania;
Abstract:In the present work, the effect of MHD flow and heat transfer within a boundary layer flow on an upper-convected Maxwell (UCM) fluid over a stretching sheet is examined. The governing boundary layer equations of motion and heat transfer are non-dimensionalized using suitable similarity variables and the resulting transformed, ordinary differential equations are then solved numerically by shooting technique with fourth order Runge–Kutta method. For a UCM fluid, a thinning of the boundary layer and a drop in wall skin friction coefficient is predicted to occur for higher the elastic number. The objective of the present work is to investigate the effect of Maxwell parameter β, magnetic parameter Mn and Prandtl number Pr on the temperature field above the sheet.
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