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Analytic homotopy solution of generalized three-dimensional channel flow due to uniform stretching of the plate 被引量:2

Analytic homotopy solution of generalized three-dimensional channel flow due to uniform stretching of the plate
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摘要 In this communication a generalized three- dimensional 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. In this communication a generalized three- dimensional 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.
出处 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2007年第5期503-510,共8页 力学学报(英文版)
关键词 Generalized three-dimensional flow Viscous fluid Stretching sheet Channel flow Homotopy analysis method Generalized three-dimensional flow Viscous fluid Stretching sheet Channel flow Homotopy analysis method
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