Abstract
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 solution is used for the general case. It is found that the mean flow is strongly dependent on the Poiseuille flow parameter. The effects of particle concentration in the fluid is well discharged throughout the analysis and the results are compared with the other studies in the literature.
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Srivastava, V.P., Srivastava, L.M. Effects of Poiseuille flow on peristaltic transport of a particulate suspension. Z. angew. Math. Phys. 46, 655–679 (1995). https://doi.org/10.1007/BF00949072
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DOI: https://doi.org/10.1007/BF00949072