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Upscaling the Poisson–Nernst–Planck equations for ion transport in weakly heterogeneous charged porous media

Abstract:

The Poisson-Nernst–Planck (PNP) equations govern the continuum level description of ions in electrolytes and especially the impact of charged surfaces. In numerous applications such surfaces are complex, varying on a small lengthscale compared to the overall scale of the system, often prohibiting the direct prediction of the osmotic swelling pressures induced by ion behaviours in Debye layers near surfaces. With periodicity, upscaling techniques can be readily used to determine the behaviour ...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.aml.2022.108482

Authors


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Role:
Author
ORCID:
0000-0001-6272-8396
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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Elsevier
Journal:
Applied Mathematics Letters More from this journal
Volume:
137
Article number:
108482
Publication date:
2022-11-12
Acceptance date:
2022-10-12
DOI:
ISSN:
0893-9659
Language:
English
Keywords:
Pubs id:
1288167
Local pid:
pubs:1288167
Deposit date:
2022-11-01

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