Effect of Magnetohydrodynamic on Flow of Field of Oldroyd-B Fluid

The aim of this paper is to study the effects of magnetohydrodynamic (MHD) on flow of field of Oldroyd-B fluid between two side walls parallel to the plate . The continuity and motion equations, for the problem under consideration are obtained. It is found that the motion equation contains fraction derivative of different order and the magnetohydrodynamic (MHD) parameter M .The effect of M upon the velocity field is analyzed ,many types of fractional models are also considered through taken different values of the fraction derivative order . This has been done through plotting the velocity field by using Mathemitca package . Close form for the stress tensor was obtained in many cases, which have been studied before, are covered from our solution.