Numerical Solution of Electromagnetic Problem(MHD) in Cartesian Coordinate

In this research we studied flow of fluid in an cross section under the effect of electromagnetic field , we build a mathematical model which is represented by system of two dimensional non-linear partial differential equations and we solve that system by using alternating directions implicit method (ADI) which is one of the finite differences methods after we get the numerical solution and we explain the behavior of temperature distribution inside the cross section, we studied the influence ofRayleigh number and the Prandtl number and also the influence of Eckert number uponthe behavior of temperature distribution and all this done through the energy equation,we arrived to steady state from unsteady state, we found the behavior of fluid flow inside the cross section and we studied the influence of Hartmann number upon the behavior of fluid flow in cross sectionand all this done through the motion equation.