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Homotopy analysis of a self-similar boundary-flow driven by a power-law shear

Authors:	Hang Xu

Institution:	(1) School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200030, China

Abstract:	The boundary-layer flow driven over a semi-infinite permeable flat plate by a power-law shear with asymptotic velocity profile $\hat{U}_\infty(\hat{y})=\hat{\beta} \hat{y}^\alpha$ is studied, where α and β are two constants. By means of the homotopy analysis method, a family of series solutions are obtained explicitly, which agree well with the analytic solutions or the numerical results. Especially, solutions in the range −1 < α < −2/3 seem to be overlooked in all previous publications.

Keywords:	Boundary layers Algebraic decay Permeable Series solutions
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