Radiation effects on MHD flow in a porous space |
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| Authors: | Zaheer Abbas Tasawar Hayat |
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| Affiliation: | 1. Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad 44000, Pakistan;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80257, Jeddah 21589, Saudi Arabia;3. Department of Mechanical Engineering, Imperial College London, London SW7 2AZ, United Kingdom;4. Department of Mechanical Engineering, University of Engineering & Technology Peshawar, Pakistan;1. Department of Mechanical Engineering, Islamic Azad University, Central Tehran Branch, Tehran, Iran;2. Department of Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania;3. Laboratory on Convective Heat and Mass Transfer, Tomsk State University, 634050 Tomsk, Russian Federation;1. Department of PG Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, India;2. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;3. Department of Mechanical Engineering, Technology Faculty, F?rat University, 23119 Elaz??, Turkey |
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| Abstract: | This paper deals with the study of the radiation effects on the magnetohydrodynamic (MHD) flow of an incompressible viscous fluid in a porous space. The flow is induced due to a non-linear stretching sheet. Two cases of heat transfer analysis are discussed. These are: (i) the sheet with constant surface temperature (CST case) and (ii) the sheet with prescribed surface temperature (PST case). By means of similarity transformation, the governing partial differential equations are reduced into highly non-linear ordinary differential equations. The resulting non-linear system has been solved analytically using a very efficient technique namely homotopy analysis method (HAM). Expressions for velocity and temperature fields are developed in series form. Convergence of the series solution is shown explicitly. The influence of various pertinent parameters is also seen on the velocity and temperature fields. The tabulated values of the wall shear stress and the Nusselt number show good agreement with the existing results. |
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