Two dimensional foam rheology with viscous drag
Soft Condensed Matter
2009-11-11 v2
Abstract
We formulate and apply a continuum model that incorporates elasticity, yield stress, plasticity and viscous drag. It is motivated by the two-dimensional foam rheology experiments of Debregeas et al. [G. Debregeas, H. Tabuteau, and J.-M. di Meglio, Phys. Rev. Lett. 87, 178305 (2001)] and Wang et al [Y. Wang, K. Krishan, and M. Dennin, Phys. Rev. E 73, 031401 (2006)], and is successful in exhibiting their principal features an exponentially decaying velocity profile and strain localisation. Transient effects are also identified.
Cite
@article{arxiv.cond-mat/0602021,
title = {Two dimensional foam rheology with viscous drag},
author = {E. Janiaud and D. Weaire and S. Hutzler},
journal= {arXiv preprint arXiv:cond-mat/0602021},
year = {2009}
}
Comments
accepted version (to appear in PRL). Some parts of the paper have been rewritten (mainly introduction and final discussion)