The optimal Stokes-Brinkman coupling for two-dimensional transverse flows in dual-scale fibrous porous media using the effective Navier slip approach

Abstract

Optimal values of the effective viscosity and the stress jump coefficient in the Stokes-Brinkman model with continuous and jump stress conditions, respectively, have been accurately characterized and then applied to solve various two-dimensional transverse dual-scale flows in fibrous porous media. In this work, the effective viscosity and the stress jump coefficient are determined such that the interfacial slip velocity can be identified to that in the effective Navier-slip description and therefore it naturally facilitates the accurate prediction of the slip velocity and its gradient (stress) at the fluid/porous interface along with the velocity fields in both the porous media and the pure fluid domain. With these optimal values of the effective viscosity and the stress jump coefficient, the Stokes-Brinkman coupling can be employed to accurately describe the dual-scale porous flow at low computational cost, which may provide an effective computational framework in investigating particle deposition/filtration and void transports within composites.