Chen, X orcid.org/0000-0002-2053-2448, Wang, M, Hicks, MA et al. (1 more author) (2018) A new matrix for multiphase couplings in a membrane porous medium. International Journal for Numerical and Analytical Methods in Geomechanics, 42 (10). pp. 1144-1153. ISSN 0363-9061
Abstract
The empirical Darcy's law of water transport in porous media, Fick's law of chemical diffusion, and Fourier's law of thermal transport have been widely used in geophysics/geochemistry for over 150 years. However, the strong couplings between water, temperature, and chemicals in a membrane porous medium have made these laws inapplicable and present a significant hurdle to the understanding of multiphase flow in such a material. Extensive experiments over the past century have observed chemical osmosis and thermal osmosis, but a model for understanding their underlying physicochemical basis has remained unavailable, because of the highly cross‐disciplinary and multiscale‐multiphase nature of the coupling. Based on the fundamental principles of nonequilibrium thermodynamics and mixture coupling theory, a rigorously theoretical and mathematical framework is proposed and a general model accounting for all of the coupled influences is developed. This leads to a simple and robust mathematical matrix for studying multiphase couplings in a membrane porous medium when all chemical components are electrically neutral.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 John Wiley & Sons, Ltd. This is the peer reviewed version of the following article: Chen, X, Wang, M, Hicks, MA et al. (2018) A new matrix for multiphase couplings in a membrane porous medium. International Journal for Numerical and Analytical Methods in Geomechanics. ISSN 0363-9061, which has been published in final form at https://doi.org/10.1002/nag.2783. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | coupling; membrane porous media; mixture coupling theory; multiphase |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Civil Engineering (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 12 Apr 2018 15:39 |
Last Modified: | 06 Apr 2019 00:40 |
Status: | Published |
Publisher: | Wiley |
Identification Number: | 10.1002/nag.2783 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:129548 |