Effects of variable viscosity in a third grade fluid with porous medium: An analytic solution |
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| Authors: | R Ellahi S Afzal |
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| Institution: | 1. Department of Mechanical Engineering, University of Mazandaran, Babolsar, Islamic Republic of Iran;2. Department of Mechanical Engineering, Babol University of Technology, P.O. Box 484, Babol, Islamic Republic of Iran;3. Esfarayen University, Engineering and Technical College, Department of Mechanical Engineering, Esfarayen, North Khorasan, Islamic Republic of Iran;1. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;2. Department of Electrical Engineering, Bahria University, Islamabad Campus, Islamabad 44000, Pakistan |
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| Abstract: | This study extends the analysis of ref. Hayat T, Ellahi R, Asghar S. The influence of variable viscosity and viscous dissipation on the non-Newtonian flow: An analytic solution, Commun Nonlinear Sci Numer Simul 2007;12:300–313] in a porous medium by employing modified Darcy’s law. Beside this Reynolds and Vogels models of temperature dependent viscosity are considered. The problem is solved using homotopy analysis method (HAM). Expressions of velocity and temperature profiles are constructed analytically and explained with the help of graphs. |
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