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

Abstract

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.