EFFECTS OF POISEUILLE FLOW ON PERISTALTIC TRANSPORT OF A PARTICULATE SUSPENSION

The problem of peristaltic transport induced by sinusoidal waves of a particle-fluid mixture in the presence of a Poiseuille flow, is analys ed. The governing equations of motion resulting from the Navier-Stokes equations for both the fluid and particle phases are solved and close d form solutions are obtained for limiting values of Reynolds number, wave number and the Poiseuille flow parameter while the method of Frob enius series solution is used for the general case. It is found that t he mean flow is strongly dependent on the Poiseuille flow parameter. T he effects of particle concentration in the fluid is well discharged t hroughout the analysis and the results are compared with the other stu dies in the literature.