Flows induced by power-law stretching surface motion modulated by transverse or orthogonal surface shear
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- 作者：Patrick Weidman <sup>weidman@colorado.edusup>
- 关键词：Boundary-layer flow ; Power-law stretching ; Transverse shearing motion ; Orthogonal shearing motion ; General solutions
- 刊名：Comptes Rendus Mécanique
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：345
- 期：2
- 页码：169-176
- 全文大小：311 K
- 卷排序：345
文摘
Boundary-layer solutions to Banks' problem for the flow induced by power-law stretching of a plate are obtained for two generalizations that include arbitrary transverse plate shearing motion. In one extension an arbitrary transverse shearing motion is the product of the power-law stretching. In the other extension the streamwise stretching coordinate is added to an arbitrary transverse shearing and together raised to the power of stretching. In addition we find that Banks' power law stretching may be accompanied by orthogonal power-law shear. In all cases, the original boundary-value problem of Banks [1] is recovered. Results are illustrated with velocity profiles both at the plate and at fixed height in the fluid above the plate.