Homogenisation of flow through periodic networks

Journal article

Using a discrete version of the method of multiple scales, the problem of fluid flow through an arbitrary periodic network of one-dimensional channels is homogenized to give Darcy flow. A simple, low-dimensional, linear algebra problem gives the effective permeability in terms of the channel conductances. The results are illustrated with an investigation of the statistical properties of effective permeability for a variety of random networks, as well as an evaluation of the correlation between permeability and network tortuosity.

Authors: Chapman, SJ; Wilmott, ZM

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Society for Industrial and Applied Mathematics Publisher's website
• Journal: SIAM Journal on Applied Mathematics Journal website
• Volume: 81
• Issue: 3
• Pages: 1034–1051
• Publication date: 2021-06-01
• Acceptance date: 2021-01-29
• DOI: 10.1137/20M1368513
• EISSN: 1095-712X
• ISSN: 0036-1399
• Language: English
• Keywords: FFR; porous medium; multiple scales; conductivity; effective material; tortuosity; permeability