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Numerical bifurcation analysis of the travelling waves on a falling liquid film

✍ Scribed by Victor Ya. Shkadov; Grigori M. Sisoev


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
532 KB
Volume
34
Category
Article
ISSN
0045-7930

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✦ Synopsis


Experiments for films flowing down a vertical substrate demonstrate a wide spectrum of wave regimes which are strongly dependent on flow conditions and liquid properties. This paper presents a comprehensive numerical bifurcation analysis of the steady travelling waves on a falling film described by an equation containing two parameters. It is shown that the sensitivity of observed wave regimes to physical parameters is related to a set of bifurcations associated with the variation of these parameters.


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The stability of periodic two-dimensional waves on a liquid film falling down a vertical oscillating plate was studied experimentally using the aqueous solutions of carboxymethylcellulose. A set of capacitance probes was used to measure the instantaneous film thickness. Artificial flow fluctuations