On the exact solution for peristaltic flow of couple-stress fluid with wall properties

This communication reports the peristaltic motion of an electrically conducting couple-stress fluid in a channel with complaint walls. Mathematical model subjected to long wavelength and low Reynolds number approximations is presented. A closed form exact solution for the dimensionless stream function is derived. Behaviors of different physical parameters including Hartman number (M ), couple-stress fluid parameter (γ ), elastic parameters (E1, E2, E3, E4,E5) and amplitude ratio (ϵ ) are thoroughly examined through the graphical results for velocity and stream function. The study reveals that fluid velocity significantly increases with an increase in the couple-stress fluid parameter and decreases with an increase in the magnetic field strength.