Analytical solution of unsteady three-dimensional MHD boundary layer flow and heat transfer due to impulsively stretched plane surface |
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| Authors: | M. Kumari G. Nath |
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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, 80203, Jeddah 21589, Saudi Arabia;1. College of Engineering, Haïl University, Haïl City, Saudi Arabia;2. Unité de Recherche de Métrologie et des Systèmes Energétiques, Ecole Nationale d''Ingénieurs, 5000 Monastir, University of Monastir, Tunisia;3. Department of Mechanical Engineering, Technology Faculty, Firat University, Elazig, Turkey;4. Department of Mechanical Engineering, King Abdulaziz University, Jeddah, Saudi Arabia;1. Mechanical Engineering Department, Faculty of Engineering, Lorestan University, Khorramabad, Iran;2. School of Engineering, Damghan University, Damghan, P.O. Box: 3671641167, Iran;3. Faculty of Engineering, University of Bojnord, Bojnord 945 3155111, Iran |
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| Abstract: | ![]()
The unsteady magnetohydrodynamic viscous flow and heat transfer of Newtonian fluids induced by an impulsively stretched plane surface in two lateral directions are studied by using an analytic technique, namely, the homotopy method. The analytic series solution presented here is highly accurate and uniformly valid for all time in the entire region. The effects of the stretching ratio and the magnetic field on the surface shear stresses and heat transfer are studied. The surface shear stresses in x- and y-directions and the surface heat transfer are enchanced by increasing stretching ratio for a fixed value of the magnetic parameter. For a fixed stretching ratio, the surface shear stresses increase with the magnetic parameter, but the heat transfer decreases. The Nusselt number takes longer time to reach the steady state than the skin friction coefficients. There is a smooth transition from the initial unsteady state to the steady state. |
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