Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2603.16224 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912970805608448 |
|---|---|
| author | Abitbol, Nathan Hansen, Alex Rosso, Alberto Talon, Laurent |
| author_facet | Abitbol, Nathan Hansen, Alex Rosso, Alberto Talon, Laurent |
| contents | We study the flow of a Bingham yield-stress fluid in a pore network model where the throats have radii drawn from a uniform distribution. We consider the case in which a fraction of the largest radii is blocked. The fluid can flow only through the percolating cluster that exists when the fraction is above the percolation threshold. Two distinct flow regimes are identified: above the percolation threshold the flow curve can be characterized by deterministic values of the critical pressure drop, permeability, and other observables, with subleading fluctuations that we quantify. At the percolation threshold these quantities become non-self-averaging, and their scaling is governed exclusively by the critical percolation backbone, independent of the specific realization of the radii. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16224 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Flow of yield stress fluid in a percolating network Abitbol, Nathan Hansen, Alex Rosso, Alberto Talon, Laurent Fluid Dynamics Disordered Systems and Neural Networks We study the flow of a Bingham yield-stress fluid in a pore network model where the throats have radii drawn from a uniform distribution. We consider the case in which a fraction of the largest radii is blocked. The fluid can flow only through the percolating cluster that exists when the fraction is above the percolation threshold. Two distinct flow regimes are identified: above the percolation threshold the flow curve can be characterized by deterministic values of the critical pressure drop, permeability, and other observables, with subleading fluctuations that we quantify. At the percolation threshold these quantities become non-self-averaging, and their scaling is governed exclusively by the critical percolation backbone, independent of the specific realization of the radii. |
| title | Flow of yield stress fluid in a percolating network |
| topic | Fluid Dynamics Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2603.16224 |