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Solution of magnetohydrodynamic flow in a rectangular duct by Chebyshev collocation method
Author(s) -
Çelik İbrahim
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2316
Subject(s) - magnetohydrodynamic drive , magnetohydrodynamics , mathematics , collocation method , magnetic field , hartmann number , chebyshev filter , partial differential equation , chebyshev polynomials , mathematical analysis , mechanics , physics , differential equation , ordinary differential equation , quantum mechanics
In this study, matrix representation of the Chebyshev collocation method for partial differential equation has been represented and applied to solve magnetohydrodynamic (MHD) flow equations in a rectangular duct in the presence of transverse external oblique magnetic field. Numerical solution of velocity and induced magnetic field is obtained for steady‐state, fully developed, incompressible flow for a conducting fluid inside the duct. The Chebyshev collocation method is used with a reasonable number of collocations points, which gives accurate numerical solutions of the MHD flow problem. The results for velocity and induced magnetic field are visualized in terms of graphics for values of Hartmann number H ≤1000. Copyright © 2010 John Wiley & Sons, Ltd.