Roll-waves in bi-layer flows
Fluid Dynamics
2011-04-28 v1
Abstract
In this paper, we derive consistent shallow water equations for bi-layer flows of Newtonian fluids flowing down a ramp. We carry out a complete spectral analysis of steady flows in the low frequency regime and show the occurence of hydrodynamic instabilities, so called roll-waves, when steady flows are unstable.
Cite
@article{arxiv.1104.5154,
title = {Roll-waves in bi-layer flows},
author = {Marc Boutounet and Pascal Noble and Jean-Paul Vila},
journal= {arXiv preprint arXiv:1104.5154},
year = {2011}
}