Influence of the Induced Magnetic and Rotation on Mixed Convection Heat Transfer for the Peristaltic Transport of Bingham plastic Fluid in an Asymmetric Channel

Abstract

     In  this paper,  the peristaltic flow under the impact  of  heat transfer, rotation and induced magnetic field of a two dimensional for the Bingham plastic fluid is discussed. The coupling among of momentum with rotational, energy and the induced magnetic field equations are achieved by the perturbation approximation method and the mathematica software to solve  equations that are nonlinear partial differential equations. The fluid moves in an asymmetric channel, and assumption the long wavelength and low Reynolds number, approximation are used for deriving a solution of the flow.  Expression of the axial velocity, temperature, pressure gradient, induced magnetic field, magnetic force, current density are developed the effect of rotation, a stress on the lower and upper channel and stream function. The quantities flow have been tested for variant parameters. The impact of the Bingham, Brinkman, Hartman and Grashof numbers are also tested for different values to indicate the effect on the move of flow fluid. The applications  can be seen through many graphics.