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Homotopy analysis solutions for the asymmetric laminar flow in a porous channel with expanding or contracting walls |
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| Authors: | Xin-Hui Si Lian-Cun Zheng Xin-Xin Zhang Ying Chao |
| Institution: | (1) Theoretical Plasma Physics Division, PINSTECH, P.O. Nilore, Islamabad, 44000, Pakistan;(2) Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad, 44000, Pakistan;(3) Department of Mathematics, COMSATS Institute of Information Technology, H-8, Islamabad, 44000, Pakistan;(4) Department of Mathematics, University of Central Florida, 32816 Orlando, FL, USA |
| Abstract: | In this paper, the asymmetric laminar flow in a porous channel with expanding or contracting walls is investigated. The governing equations are reduced to ordinary ones by using suitable similar transformations. Homotopy analysis method (HAM) is employed to obtain the expressions for velocity fields. Graphs are sketched for values of parameters and associated dynamic characteristics, especially the expansion ratio, are analyzed in detail. |
| Keywords: | Homotopy analysis method · Expanding or contracting wall · Asymmetric laminar flow · Porous channel · Expansion ratio |
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