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Bifurcation analysis of the travelling waves on a falling power-law fluid film |
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| Institution: | 1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow 119992, Russia;2. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B.T. Road, Calcutta 700108, India;1. Department of Mathematics, Ryerson University, Toronto, Ontario, Canada M5B 2K3;2. Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1;1. College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China;2. College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China |
| Abstract: | Non-linear waves on the surface of a falling film of power-law fluid on a vertical plane are investigated. The waves are described by evolution equations previously derived as a generalization of the model for the Newtonian liquid. This paper presents a numerical bifurcation analysis of the steady travelling waves on a falling film described by an equation containing three parameters. It is shown that the wave regimes are sensitive to the power-law index as well as to the film parameter and the wavenumber that is typical for the Newtonian liquid. |
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