The effect of weak inertia on flow through a porous medium

By Chiang C. Mei, J. Auriault. 1991

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Citations in the corpus

Physics-Constrained Deep Learning for High-dimensional Surrogate Modeling and Uncertainty Quantification without Labeled Data (2019, background): “It has been shown both theoretically [74] and experimentally [75, 76] that the constitutive relation undergoes”
Comparison of Quadratic and Power Law for Nonlinear Flow through Porous Media (2008, background): “Some theoretical attempts have been devoted to associate the nonlinear drag with inertial and/or turbulent effects of viscous flow; relevant pioneering references includes Mei and Auriault (1991), Skjetne and Auriault”
3-D image-based numerical computations of snow permeability: links to specific surface area, density, and microstructural anisotropy (2012, background): “WhenRel O(1), the macroscopic flow is described by Darcy’s law, otherwise non-linearities appear at the macroscopic scale (Mei and Auriault, 1991).”
Modeling Turbulent Flows in Porous Media (2020, methodology): “…for averaging the Navier–Stokes equations in porous materials, including hybrid mixture theory (Bennethum & Giorgi 1997), homogenization methods (Mei & Auriault 1991, Panfilov & Fourar 2006), thermodynamically constrained averaging theory (Gray & Miller 2014), and VAT (Breugem & Boersma 2005;…”
The first effects of fluid inertia on flows in ordered and random arrays of spheres (2001, methodology): “The theory of Mei & Auriault (1991) predicts that this scaling is independent of the solid volume fraction, provided that the Reynolds number is sufficiently small.”
On the non-linear behavior of a laminar single-phase flow through two and three-dimensional porous media (2004, methodology): “This equation was obtained by numerical simulations in a two-dimensional periodic porous medium [14–16], and also by using the homogenization technique for an isotropic homogeneous porous medium [17,18].”