期刊
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
卷 33, 期 3, 页码 289-302出版社
SHANGHAI UNIV
DOI: 10.1007/s10483-012-1550-9
关键词
three-dimensional flow; second grade fluid; stretching sheet; channel flow; rotating frame
An analysis is performed for the hydromagnetic second grade fluid flow between two horizontal plates in a rotating system in the presence of a magnetic field. The lower sheet is considered to be a stretching sheet, and the upper sheet is a porous solid plate. By suitable transformations, the equations of conservation of mass and momentum are reduced to a system of coupled non-linear ordinary differential equations. A series of solutions to this coupled non-linear system are obtained by a powerful analytic technique, i.e., the homotopy analysis method (HAM). The results are presented with graphs. The effects of non-dimensional parameters R,lambda,M (2), alpha, and K (2) on the velocity field are discussed in detail.
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