Peristaltic motion of a Newtonian fluid through a porous medium

Abstract EN

In this paper, peristaltic motion of an incompressible Newtonian fluid rough a porous medium is studied in a two-dimensional uniform channel with sinusoidal wave on its wall.

The problem is formulated and analyzed using a rturbation expansion in terms of a variant of the wave number as a parameter. This analysis can model the pathological situation of urine movement in ^ ureter when some stones are formed in its lumen.

An analytic forms for ial velocity component and pressure gradient have been obtained.

Moreover, s pressure rise and the friction force are computed numerically.

It has been own that the pressure rise increases as the permeability decreases.

Further, it noted that both pressure rise and friction force don’t depend on permeability rameter at a certain value of flow rate.

The results are studied for various lues of the physical parameters of interes