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physics.flu-dyn2012★ 48 cited
Thin power law film flow down an inclined plane: consistent shallow water models and stability under large scale perturbations
Pascal Noble, Jean Paul Vila
In this paper we derive consistent shallow water equations for thin films of power law fluids down an incline. These models account for the streamwise diffusion of momentum which i…
physics.flu-dyn2011
Roll-waves in bi-layer flows
Marc Boutounet, Pascal Noble, Jean-Paul Vila
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…