Analytical and numerical solution for viscous dissipation effect on the heat transfer in a deformable channel |
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| Authors: | Naeem Mustafa S Asghar T Hayat |
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| Institution: | 1. Department of Mathematics, COMSATS Institute of Information Technology, Islamabad, Pakistan;2. Department of Mathematics, Quaid‐i‐Azam University 45320, Islamabad, Pakistan;3. Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia |
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| Abstract: | In this paper, shooting method and homotopy perturbation technique are applied for the flow analysis of temporal energy transport in a deformation channel with isothermal walls. An incompressible viscous fluid fills the space inside the channel. Analytical and numerical solutions are developed for the momentum and energy equations. The viscous dissipation effects are taken into account. Graphs for pertinent flow parameters are sketched and discussed. Comparison between the analytical and numerical solutions indicates an excellent agreement. It is noticed that behaviors of Prandtl and Eckert numbers on the temperature are qualitatively similar. Copyright © 2011 John Wiley & Sons, Ltd. |
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| Keywords: | viscous dissipation shooting method homotopy perturbation method (HPM) |
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