Abstract:
A new model is developed for describing long-wave perturbations in a falling film of a viscous liquid. The model is based on an integral approach and an expansion of the velocity profile into a series in linearly independent basis functions of a boundary-value problem. A linear analysis of film flow stability is performed, and dispersion dependences are obtained. Results predicted by the new model are demonstrated to be in good agreement with available experimental data on the film flow over a gently sloping surface.
Citation:
S. P. Aktershev, S. V. Alekseenko, “Model of a wavy flow in a falling film of a viscous liquid”, Prikl. Mekh. Tekh. Fiz., 54:2 (2013), 21–31; J. Appl. Mech. Tech. Phys., 54:2 (2013), 185–194
\Bibitem{AktAle13}
\by S.~P.~Aktershev, S.~V.~Alekseenko
\paper Model of a wavy flow in a falling film of a viscous liquid
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2013
\vol 54
\issue 2
\pages 21--31
\mathnet{http://mi.mathnet.ru/pmtf1194}
\elib{https://elibrary.ru/item.asp?id=20653868}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2013
\vol 54
\issue 2
\pages 185--194
\crossref{https://doi.org/10.1134/S0021894413020028}
Linking options:
https://www.mathnet.ru/eng/pmtf1194
https://www.mathnet.ru/eng/pmtf/v54/i2/p21
This publication is cited in the following 2 articles:
Liudmila Prokudina, PROCEEDINGS OF THE X ALL-RUSSIAN CONFERENCE “Actual Problems of Applied Mathematics and Mechanics” with International Participation, Dedicated to the Memory of Academician A.F. Sidorov and 100th Anniversary of UrFU: AFSID-2020, 2312, PROCEEDINGS OF THE X ALL-RUSSIAN CONFERENCE “Actual Problems of Applied Mathematics and Mechanics” with International Participation, Dedicated to the Memory of Academician A.F. Sidorov and 100th Anniversary of UrFU: AFSID-2020, 2020, 050019
L. A. Prokudina, “Nonlinear evolution of perturbations in a thin fluid layer during wave formation”, J. Exp. Theor. Phys., 118:3 (2014), 480
Citation in format AMSBIB
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