MHD Two Phase Flow Model and Co-ordinate system

Two-fluid flows and two-phase flows are the most popular areas of research, have received much attention in the literature by various investigators due to their abundant applications in several fields, such as geophysical, astronomical, industrial and technological fields. Numerical calculations of the resulting solutions are performed and by varying the various physical parameters Hartmann number, Hall parameter, and represented graphically to discuss interesting features of the solutions. We observed that an increase thermal conductivity ratio increases the primary and secondary velocity distributions for fixed values of the remaining governing parameters.