Peristaltic flow of a magnetohydrodynamic Johnson-Segalman fluid

The problem of peristaltic transport of non-Newtonian fluid represented by the constitutive equation for a Johnson-Segalman fluid is analyzed for the case of a planar channel. The fluid is electrically conducting. The walls of the channel are electrically insulated and are transversely displaced by an infinite, harmonic travelling wave of long wavelength. The general solution of the non-linear equation resulting from the momentum equation is constructed for all values of Weissenberg number. The perturbation solution is also obtained. Some graphs are plotted for interesting physical parameters and discussed.