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Solution of magnetohydrodynamic flow in a rectangular duct by differential quadrature method
Date
2004-05-01
Author
Tezer, Münevver
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The polynomial based differential quadrature and the Fourier expansion based differential quadrature method are applied to solve magnetohydrodynamic (MHD) flow equations in a rectangular duct in the presence of a transverse external oblique magnetic field. Numerical solution for velocity and induced magnetic field is obtained for the steady-state, fully developed, incompressible flow of a conducting fluid inside of the duct. Equal and unequal grid point discretizations are both used in the domain and it is found that the polynomial based differential quadrature method with a reasonable number of unequally spaced grid points gives accurate numerical solution of the MHD flow problem. Some graphs are presented showing the behaviours of the velocity and the induced magnetic field for several values of Hartmann number, number of grid points and the direction of the applied magnetic field.
Subject Keywords
Boundary-element method
,
Finite-element
,
Mhd flow
,
Vibration
URI
https://hdl.handle.net/11511/36103
Journal
COMPUTERS & FLUIDS
DOI
https://doi.org/10.1016/s0045-7930(03)0072-0
Collections
Department of Mathematics, Article
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M. Tezer, “Solution of magnetohydrodynamic flow in a rectangular duct by differential quadrature method,”
COMPUTERS & FLUIDS
, pp. 533–547, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36103.