Dynamics of an oscillating aerosol spherical particle within a permeable medium bounded by two rigid plates

Abstract

The flow field of a Brinkman model surrounding a linearly oscillating spherical solid particle confined between two rigid plates is analyzed under a low Reynolds number condition. The differential equations governing this system are resolved through a semi-analytical method coupled with a boundary collocation scheme. The in-phase and out-of-phase hydrodynamic drag exerted on the spherical particle are explored across various geometrical and physical parameter values, with the results illustrated through graphs and tables. A comparative analysis with existing literature is performed, particularly focusing on the scenario where the top plate is absent. The results show that the presence of the upper plate exerts a significant effect on the drag coefficients, as well as the porosity, frequency, and separation parameters. The investigation reveals a strong dependence of the drag force coefficients on the separation parameters of both the upper and lower plates. Furthermore, the study indicates that the oscillating parameter and the permeability parameter exert a less significant influence on the drag force coefficients. This research is driven by the need to advance the understanding of the fluid tapping mode utilized in atomic force microscopy devices, providing novel insights into the interplay between probe dynamics and the porous medium.