Theoretical Study of Oscillating Squeezing Flow through a Porous Medium*

In this paper, we report a theoretical study of a transient squeezing flow through a thin porous gap driven by an oscillating boundary. The process is governed by the viscous, inertial, and Darcy effects. It shows that when the squeezing depth increases, the alternating dominance of the viscous and inertial effects would increase the oscillation of the velocity profiles. The existence of the porous media effectively stabilizes the fluid field. The study presented herein, revealing the fundamental physics of an oscillating squeezing flow, has significant potential for biomedical and industrial applications, such as the cerebrospinal fluid flow under concussion and the oil film lubrication in journal bearings.