Streamline analysis of MHD flow in a double lid-driven cavity

Abstract

The magnetohydrodynamic flow of an incompressible, steady and electrically conducting fluid is considered in double lid-driven square cavity under an inclined magnetic field. The non-dimensional governing equations are solved numerically using a radial basis function (RBF) approximation meshless method in order to obtain the flow patterns. Hartmann number (Formula presented.) and the inclination angle of magnetic field (Formula presented.) are taken as a problem variables that produce various flow transformations by their variation for (Formula presented.). Streamlines are examined topologically, and it has been observed that the inclination angle and strength of magnetic field have different influence on the bifurcation of flow structures.