Analytic homotopy solution of generalized three-dimensional channel flow due to uniform stretching of the plate |
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Authors: | Ahmer Mehmood Asif Ali |
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Affiliation: | (1) Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan |
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Abstract: | In this communication a generalized threedimensional steady flow of a viscous fluid between two infinite parallel plates is considered. The flow is generated due to uniform stretching of the lower plate in x- and y-directions. It is assumed that the upper plate is uniformly porous and is subjected to constant injection. The governing system is fully coupled and nonlinear in nature. A complete analytic solution which is uniformly valid for all values of the dimensionless parameters β, Re and λ is obtained by using a purely analytic technique, namely the homotopy analysis method. Also the effects of the parameters β, Re and λ on the velocity field are discussed through graphs. |
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Keywords: | Generalized three-dimensional flow Viscous fluid Stretching sheet Channel flow Homotopy analysis method |
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