Computational study of no-slip and rarefied slip flows in infinite structured porous media

Abstract

No-slip and rarefied slip flows in infinite structured porous media are numerically investigated in this study using hybrid FE/FV methods. The hybrid FE/FV flow solver methodology is based on the pressure correction method which involves a fractional step approach to first obtain an intermediate velocity by solving the momentum equations with the matrix-free, implicit, cell-centered finite volume method. The poisson equation resulting from the fractional step approach is then solved by node based Galerkin finite element method for an auxiliary variable which is closely related to pressure and is used to update the velocity and pressure fields.Three dimensional numerical simulations are conducted using our hybrid FE/FV flow solver for analyzing fluid flow in infinite structured porous media. In this study, structured porous media is represented by packed beds of spherical particles in different packing configurations including Simple (SC), Body Centered Cubic (BCC), and FCC (Face Centered Cubic) arrangements. Finite contact spacing's (2% of particle diameter) are maintained between the spherical particles to avoid highly skewed elements during the grid generation process. Our results are compared with available experimental and numerical data for both continuum no-slip and also rarefied slip flows. For continuum no-slip flows, packing form of structured beds had a considerable influence on the pressure drop, particularly at higher Reynolds numbers. However, for rarefied flows, the influence of packing form seemed to be negligible. It was also observed that infinite random porous media correlations are unsuitable for predicting the friction factors and/or pressure drop in structured porous media for

Comprehensive assessment of bioactive glass and glass-ceramic scaffold permeability: experimental measurements by pressure wave drop, modelling and computed tomography-based analysis

“…(iii) No-slip condition at airflow/pore walls interface. As a matter of fact, unlike the liquid fluid flows having no-slip boundary conditions at the solid wall, gases may slip along the solid walls because of the small scale of the pore cross-section [61]. On the other hand, when the mean free path  of gas is considerably smaller compared to the pore diameter, no-slip conditions can be assumed: namely, the mean free path of air, at the atmospheric pressure, is   0.07 m, which is greatly smaller than scaffold pore diameters here measured [62].…”

Computational analysis of gas permeability of slip flow through microannulus replete by based‐circular Sierpinski porous medium

“…Comparison of K slip / K nonslip between our model and that of R 16 [Color figure can be viewed at wileyonlinelibrary.com]…”

“…Flow in porous media was studied theoretically and experimentally in the slip flow regime by several scholars 14‐24 . The analytical solution was feasible with only a simple and specific porous structure.…”

“…Considerable efforts have been made in studying the gaseous flow in porous media 14,15 . In their study, Palle and Aliabadi 16 analyzed spherical particles as 3D porous structures numerically, the study showed that the factor friction equation in the continuum regime cannot be used in the slip regime due to the Knudsen number effect.…”