Dispersion properties of waves on a surface of viscous fluid covered by an elastic film
Article
Article Title | Dispersion properties of waves on a surface of viscous fluid covered by an elastic film |
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ERA Journal ID | 36742 |
Article Category | Article |
Authors | Averbukh, E. L. (Author), Kurkin, A. A. (Author), Stepanyants, Y. A. (Author) and Talipova, T. G. (Author) |
Journal Title | Fluid Dynamics |
Journal Citation | 49 (6), pp. 796-803 |
Number of Pages | 8 |
Year | 2014 |
ISSN | 0015-4628 |
1573-8507 | |
Digital Object Identifier (DOI) | https://doi.org/10.1134/S0015462814060118 |
Web Address (URL) | http://link.springer.com/article/10.1134/S0015462814060118 |
Abstract | A linear dispersion relation is derived for waves on the free surface of an infinitely deep viscous fluid covered by an elastic surfactant film. The solutions of the dispersion relation are studied over a wide range of variations of the fluid viscosity and the film elasticity. Dynamics of the Marangoni mode associated with the presence of the elastic film is considered in detail. Values of the film elasticity modulus corresponding to both wave motions in fluid and motions damped monotonically with time are found. The elasticity and viscosity parameters at which the nature of the fluid motion changes qualitatively are determined. |
Keywords | dispersion relation; surface wave; surfactant; Marangoni mode |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
490109. Theoretical and applied mechanics | |
Public Notes | Original Russian Text © E.L. Averbukh, A.A. Kurkin, Yu.A. Stepanyants, T.G. Talipova, 2014, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2014, Vol. 49, No. 6, pp. 109–117. |
Byline Affiliations | Alekseev State Technical University, Russia |
Nizhny Novgorod State Technical University, Russia | |
School of Agricultural, Computational and Environmental Sciences | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q2wvw/dispersion-properties-of-waves-on-a-surface-of-viscous-fluid-covered-by-an-elastic-film
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