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Roll-waves in bi-layer flows

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.

preprint2011arXivOpen access
Marc BoutounetPascal NobleJean-Paul Vila
physics.flu-dyn
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Marc BoutounetPascal NobleJean-Paul Vila

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