The Effect of Non-uniform magnetic field on the fluid flow over a moving and permeable plate with using self-similar method

In this paper, the effect of non-uniform magnetic field on temperature and velocity profile for a boundary layer flow over a moving and horizontal flat plate by using of a self-similar method is studied. A variable and non-uniform magnetic field is considered and it is assumed that there is suction by the wall with a variable velocity.It is assumed that The velocity out of boundary layer is varying with x. For solving, governing partial differential equations by help of similarity parameter and similarity solution were changed into ordinary differential equations and then by using of shooting method and forth-order range-Kutta method, all equations are solved. At the end, the effect of dimensionless parameters on the velocity and temperature profiles, are given. It is revealed that by increasing the magnetic field parameter, the velocity inside the boundary layer decreases and the temperature increased since the fluid particles in the boundary layer are ionized.