Effects of Poiseuille flow on peristaltic transport of a particulate suspension (Q1905420)

The problem of peristaltic transport induced by sinusoidal waves of a particle-fluid mixture in the presence of a Poiseuille flow is analysed. The governing equations of motion resulting from the Navier-Stokes equations for both the fluid and particle phases are solved, and closed form solutions are obtained for limiting values of Reynolds number, wave number, and the Poiseuille flow parameter while the method of Frobenius series is used for the general case.