A numerical study for steady MHD flow of liquid metal through a square duct with slip walls has been carried out. An intense external magnetic field is acting normal to two walls of the square duct which are considered as slip walls. The numerical solutions for velocity and induced magnetic field have been obtained by using a 5 point stencil central difference scheme. Solutions for velocity and...

A nonlinear streamwise traveling-wave solution is obtained by homotopy for square duct flow. For a particular symmetry of the perturbations, this wave comes into existence at about Re(b)=600 (based on half-duct width and bulk speed) for a streamwise wave number alpha=0.85 . The resulting four-vortex mean flow resembles the transitional flow structures observed in previous simulations.