On the Inertial Single Phase Flow in 2D Model Porous Media: Role of Microscopic Structural Disorder

• Published in: Transport in porous media Vol. 128; no. 1; pp. 201 - 220
• Main Authors: Wang, Yibiao, Ahmadi, Azita, Lasseux, Didier
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.05.2019; Springer Nature B.V; Springer Verlag
• Subjects: Barriers; Civil Engineering; Classical and Continuum Physics; Computational fluid dynamics; Computer simulation; Cylinders; Earth and Environmental Science; Earth Sciences; Engineering Sciences; Fluid flow; Geotechnical Engineering & Applied Earth Sciences; Hopf bifurcation; Hydrogeology; Hydrology/Water Resources; Inclination; Incompressible flow; Industrial Chemistry/Chemical Engineering; Inertia; Laminar flow; Mathematical models; Porosity; Porous media; Reactive fluid environment; Reynolds number; Single-phase flow; Size distribution; Two dimensional flow; Two dimensional models; Darcy–Forchheimer; Non-Darcy flow; Flow regimes; Inertial one-phase flow; General Chemical Engineering; Catalysis
• ISSN: 0169-3913; 1573-1634
• DOI: 10.1007/s11242-019-01241-x

In this work, single-phase incompressible laminar flow in 2D model porous media is studied and the influence of microscopic structural disorder on the flow is thoroughly investigated. Emphasis is laid upon the onset of the deviation from Darcy’s law and the identification of different inertia regimes observed before the flow becomes unsteady. For this purpose, six globally disordered pore structures were generated and the values of the critical Reynolds number at which the flow becomes unsteady corresponding to the first Hopf bifurcation were determined. Numerical simulations of steady laminar single-phase flow were then carried out to investigate the effects of the microstructures on the inertial correction to Darcy’s law. Different flow regimes, namely weak inertia, strong inertia and the regime beyond strong inertia, are identified. Comparisons are made with results presented in the literature which were restricted to ordered and locally disordered structures. The critical Reynolds number decreases and inertia intensity increases as more disorder is introduced into the pore structure. Results on flow inertia widely extend some previous studies on the subject and show that it is mainly influenced by the shape of the obstacles (either circular or square), slightly affected by the inclination of the square cylinders and hardly disturbed by the size distribution of the obstacles.