Two dimensional foam rheology with viscous drag

TL;DR

This paper develops a continuum model for two-dimensional foam rheology that captures elasticity, yield stress, plasticity, and viscous drag, successfully reproducing key experimental features like velocity decay and strain localization.

Contribution

It introduces a comprehensive continuum model that integrates multiple rheological behaviors to explain experimental foam flow phenomena.

Findings

Reproduces exponential velocity decay observed in experiments

Captures strain localization in foam flows

Identifies transient effects in foam rheology

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.