Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects
Peristaltic motion of an incompressible micropolar fluid in a
two-dimensional channel with wall effects is studied. Assuming
that the wave length of the peristaltic wave is large in comparison
to the mean half width of the channel, a perturbation method of
solution is obtained in terms of wall slope parameter, under dynamic
boundary conditions. Closed form expressions are derived for the
stream function and average velocity and the effects of pertinent
parameters on these flow variables have been studied. It has been
observed that the time average velocity increases numerically with
micropolar parameter. Further, the time average velocity also
increases with stiffness in the wall.