Theoretical modeling of squeezing flow in porous media under arbitrary boundary velocity

Squeezing flow within a thin porous gap driven by a moving boundary is a fundamental phenomenon in industrial and biological systems but lacks accurate theoretical models. This study fills the gap by introducing a comprehensive solution using Fourier transforms, considering porous media effects, and handling arbitrary moving boundaries. The model explores the impact of Womersley and Brinkman numbers on velocity and pressure, providing a robust framework for various applications. By harmonizing the considerations of arbitrary moving boundaries with porous characteristics, this work not only deepens our theoretical understanding but also sets the stage for innovative research and development in the field of squeezing flow dynamics.