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Magnetohydrodynamic Flow in a Rectangular Duct

The magnetohydrodynamic (MHD) flow of an incompressible, viscous and electrically conducting fluid in a rectangular duct with insulated and perfectly conducting walls is investigated numerically in the presence of hydrodynamic slip. The flow is fully developed and driven by a constant pressure gradient in the axial direction under the effect of an externally applied uniform and inclined magnetic field. A direct boundary element method (BEM) using a fundamental solution which enables to treat the governing MHD flow equations in their original coupled form is employed and the validity of the code is also ascertained. The numerical simulations are carried out for several values of slip length, Hartmann number and the inclination angle of the external magnetic field. It is well-observed from the equivelocity and induced current lines that the velocity increases through the duct and the Hartmann layers weaken while the side layers become thicker with an increase in slip length especially at low values of Hartmann number irrespective of the conductivity of the walls.