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Analytic homotopy solution of generalized three-dimensional channel flow due to uniform stretching of the plate

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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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  1. Department of Mathematics, Quaid-i-Azam University, 45320, Islamabad, 44000, Pakistan

    Ahmer Mehmood & Asif Ali

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  1. Ahmer Mehmood
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  2. Asif Ali
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Correspondence to Ahmer Mehmood.

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Mehmood, A., Ali, A. Analytic homotopy solution of generalized three-dimensional channel flow due to uniform stretching of the plate. Acta Mech Sin 23, 503–510 (2007). https://doi.org/10.1007/s10409-007-0106-1

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  • DOI: https://doi.org/10.1007/s10409-007-0106-1

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