Improved two-equation model for thin layer fluid flowing down an inclined plane problem

We are presenting a substantial improvement to the two-equation model proposed by Usha and Uma [Phys. Fluids 16, 7 (2004)] for the thin film of fluid flowing down an inclined plane. Incorporating the shear stress in the parabolic velocity profile, we satisfy exactly a tangential dynamical condition...

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Bibliographic Details
Published in:Physics of fluids (1994) 2007-09, Vol.19 (9)
Main Authors: Abderrahmane, H. Ait, Vatistas, G. H.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Hydrodynamic stability
Hydrodynamic waves
Nonlinearity (including bifurcation theory)
Physics
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Summary:We are presenting a substantial improvement to the two-equation model proposed by Usha and Uma [Phys. Fluids 16, 7 (2004)] for the thin film of fluid flowing down an inclined plane. Incorporating the shear stress in the parabolic velocity profile, we satisfy exactly a tangential dynamical condition at the free surface. This correction has significant implications on the occurrence conditions for both heteroclinic and Hopf bifurcations of long stationary waves.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.2771660