Transport in Porous Media, Vol.96, No.1, 83-95, 2013
Hydrodynamic Boundary Condition at Open-Porous Interface: A Pore-Level Lattice Boltzmann Study
In this paper, we follow the pore-level simulation approach to investigate fluid flow over an open-porous interface using the lattice Boltzmann method. As this approach does not require any specific treatment for the interface, the predicted pore-level velocity field is averaged and used to evaluate the available macroscopic boundary conditions for the interface. Two most common interface boundary conditions are evaluated, and the unknown fitting parameters in them are calculated as a function of porosity of the porous region. Analytical solutions of the velocity profile in the close vicinity of the interface are used to validate the numerical methodology. It is shown that the predicted numerical results for penetration depth in the porous region, flow rate in open channel, and velocity profile in the open and porous regions are in excellent agreement with the predictions of the two available models, if the proposed values of their fitting parameters are used.
Keywords:Open-porous interface;Macroscopic boundary condition;Pore-level analysis;Lattice Boltzmann method