Effect of Heat Transfer on the Peristaltic Flow of Walters B Fluid in a Vertical Channel with an External Magnetic Field

Abstract

This article describes the effect of heat transfer on the magnetohydrodynamic peristaltic flow of Walters B fluid in a vertical symmetric channel. The flow is investigated in a wave frame of reference moving with the velocity of the wave. A perturbation method is used to obtain the approximate analytical solution for the stream function, temperature, and pressure gradient. The pressure difference and frictional force are obtained numerically. The variation of velocity, pressure gradient, temperature, stream function, pressure difference, and frictional force are sketched for various embedded parameters. The behavior of the Nusselt number and skin friction is presented in tables for the different parameters involved. Graphical results are also presented for four different wave shapes.