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Boundary element method solution of magnetohydrodynamic flow in a rectangular duct with conducting walls parallel to applied magnetic field
Date
2008-03-01
Author
Tezer, Münevver
Bozkaya, Canan
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The magnetohydrodynamic (MHD) flow of an incompressible, viscous, electrically conducting fluid in a rectangular duct with one conducting and one insulating pair of opposite walls under an external magnetic field parallel to the conducting walls, is investigated. The MHD equations are coupled in terms of velocity and magnetic field and cannot be decoupled with conducting wall boundary conditions since then boundary conditions are coupled and involve an unknown function. The boundary element method (BEM) is applied here by using a fundamental solution which enables to treat the MHD equations in coupled form with the most general form of wall conductivities. Also, with this fundamental solution it is possible to obtain BEM solution for values of Hartmann number (M) up to 300 which was not available before. The equivelocity and induced magnetic field contours which show the well-known characteristics of MHD duct flow are presented for several values of M.
Subject Keywords
Mechanical Engineering
,
Computational Theory and Mathematics
,
Applied Mathematics
,
Ocean Engineering
,
Computational Mathematics
URI
https://hdl.handle.net/11511/46587
Journal
COMPUTATIONAL MECHANICS
DOI
https://doi.org/10.1007/s00466-006-0139-5
Collections
Department of Mathematics, Article
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M. Tezer and C. Bozkaya, “Boundary element method solution of magnetohydrodynamic flow in a rectangular duct with conducting walls parallel to applied magnetic field,”
COMPUTATIONAL MECHANICS
, pp. 769–775, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46587.