Modified boundary integral method for pressure driven MHD duct flow
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1989-01-01
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Abstract
In this paper, we investigate the flow of a viscous, Incompressible,electrically conducting fluid through a rectangular duct in the presence of a magneticfield, when one of the boundaries perpedicular to the magnetic field is partlyconducting and partly Insulating, by a modified Boundary Integral Method.Three problems are considered (i) flow through an infinite channel, (ii) flowthrough a rectangular duct when the conducting part is symmetrically situated, and(iii) flow through a rectangular duct when the conducting part is arbltrarilypositioned.Such problems have been studied before by asymptotic means for large values of M,the Hartmann number. Hoverer, the present modification of the Boundary IntegralMethod renders the problem computationally efficient and provides a reliable numericalsolution for all values of M. For large M, our coputation time decreasessignificantly.
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B. D. Aggarwala and P. D. Ariel, “Modified boundary integral method for pressure driven MHD duct flow,” International Journal of Mathematics and Mathematical Sciences, vol. 12, no. 1, pp. 159-174, 1989. doi:10.1155/S0161171289000219