|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'585
Articles rated: 2609
24 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
A model for the erosion onset of a granular bed sheared by a viscous fluid | | Le Yan
; Antoine Barizien
; Matthieu Wyart
; | | Date: |
12 May 2015 | | Abstract: | We study theoretically the erosion threshold of a granular bed forced by a
viscous fluid. We first introduce a novel model of interacting particles driven
on a rough substrate. It predicts a continuous transition at some threshold
forcing $ heta_c$, beyond which the particle current grows linearly $Jsim
heta- heta_c$, in agreement with experiments. The stationary state is
reached after a transient time $t_{
m conv}$ which diverges near the
transition as $t_{
m conv}sim | heta- heta_c|^{-z}$ with $zapprox 2.5$.
The model also makes quantitative testable predictions for the drainage
pattern: the distribution $P(sigma)$ of local current is found to be extremely
broad with $P(sigma)sim J/sigma$, spatial correlations for the current are
negligible in the direction transverse to forcing, but long-range parallel to
it. We explain some of these features using a scaling argument and a mean-field
approximation that builds an analogy with $q$-models. We discuss the
relationship between our erosion model and models for the depinning transition
of vortex lattices in dirty superconductors, where our results may also apply. | | Source: | arXiv, 1505.3029 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER