Journal
NONLINEAR DYNAMICS
Volume 51, Issue 1-2, Pages 259-265Publisher
SPRINGER
DOI: 10.1007/s11071-007-9208-3
Keywords
rotating flow; viscous fluid; shrinking sheet; HAM solution
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This study is concerned with the magneto-hydrodynamic (MHD) rotating boundary layer flow of a viscous fluid caused by the shrinking surface. Homotopy analysis method (HAM) is employed for the analytic solution. The similarity transformations have been used for reducing the partial differential equations into a system of two coupled ordinary differential equations. The series solution of the obtained system is developed and convergence of the results are explicitly given. The effects of the parameters M, s and lambda on the velocity fields are presented graphically and discussed. It is worth mentioning here that for the shrinking surface the stable and convergent solutions are possible only for MHD flows.
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