Fluid Motion in Finite Length Tubes in Peristaltic Pumps

摘要

We considered the flow of an incompressible Newtonian fluid within a finite tube, which is driven by multiple train waves or a single peristaltic wave. The solutions of the governing equations were taken as a pertubation series with pertubation parameter being the wave number. These infinite series were truncated at the first corrective term. Expressions for the axial and transverse conponents of the velocity, the pressure, the shear stress at the walls as well as the volume flow rate were obtained. From this study, the effects of the wave number, the occlusion of the tube, the wave amplitude, as well as the wave type were analyzed. It was observed that the pressure distribution is affected by the wave type, the time-averaged volume flow is slightly affected non-integral number of waves and is independent of the axial position for the case of multiple train waves. However, in the case of single wave, the time-averaged volume flow depends on the axial position and we saw reflux at the entrance of the tube even for co-pumping conditions. Also, changes in the wave number resulted in tranformations of the plots of the results which became more obvious for highly occluded tubes.