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arXiv · 1104.5154

Roll-waves in bi-layer flows

Marc Boutounet·Pascal Noble·Jean-Paul Vila
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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.

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Marc Boutounet, Pascal Noble, Jean-Paul Vila. 2011-02-23. Roll-waves in bi-layer flows. https://arxiv.org/abs/1104.5154

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