A New Approach for the Solution of Three-Dimensional Magnetohydrodynamic Rotating Flow over a Shrinking Sheet
Author(s) -
S. S. Motsa,
Stanford Shateyi
Publication year - 2010
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2010/586340
Subject(s) - magnetohydrodynamic drive , homotopy analysis method , matrix similarity , ordinary differential equation , mechanics , mathematics , magnetohydrodynamics , flow (mathematics) , momentum (technical analysis) , shear stress , mathematical analysis , homotopy , partial differential equation , matlab , physics , classical mechanics , differential equation , computer science , magnetic field , finance , quantum mechanics , pure mathematics , economics , operating system
The numerical solution of magnetohydrodynamic (MHD) and rotating flow over a porous shrinking sheet is obtained by the new approach known as spectral homotopy analysis method (SHAM). Using a similarity transformation, the governing equations for the momentum are reduced to a set of ordinary differential equations and are solved by the SHAM approach to determine velocity distributions and shear stress variations for different governing parameters. The SHAM results are analysed and validated against numerical results obtained using MATLAB's built-in bvp4c routine, and good agreement is observed
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