Numerical analyses of the effect of Lorentz force on electrically conducting fluid flow around an obstacle
by Hassen Abbassi
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 12, No. 6, 2012

Abstract: The laminar flow of a viscous incompressible electrically conducting fluid in a plane channel with a built-in square cylinder is investigated under the usual Magnetohydrodynamic (MHD) hypothesis. Numerical simulations are performed for Reynolds numbers less then Re = 200 in the range of 0 ≤ Ha ≤ 8. The magnetic and electric induced forces are compared to verify the validity of neglecting the induced electric field, as in many MHD studies. It is found through the calculation of reattachment length that an external magnetic field acts to decrease the size of the recirculation zone until its disappearance; when the Hartmann number exceeds a critical value Hac, a correlation between Re and Hac is proposed. Velocity profiles show that out of the recirculation zone, the basic flow is damped by the magnetic induced force, whereas flow near the walls channel is accelerated. Heat transfer is significantly enhanced by the magnetic field when the working fluid is of high Prandtl number.

Online publication date: Tue, 25-Nov-2014

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