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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 2, Pages 89–97 (Mi pmtf1887)  

Wave regimes on a nonisothermal film of a viscous liquid flowing down a vertical plane

O. Yu. Tsvelodub

Kutateladze Institute of Thermophysics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
Abstract: A thin film flow of a viscous liquid flowing down a vertical wall in the field of the gravity force is studied. The values of temperatures on the solid wall and on the free surface are constant. The viscosity and thermal diffusivity are functions of temperature. An equation that describes the evolution of surface disturbances is derived for small flow rates in the long-wave approximation.
Keywords: nonisothermal film flow, evolution equation, soliton solutions.
Received: 28.04.2007
English version:
Journal of Applied Mechanics and Technical Physics, 2008, Volume 49, Issue 2, Pages 231–238
DOI: https://doi.org/10.1007/s10808-008-0033-3
Bibliographic databases:
Document Type: Article
UDC: 532.51
Language: Russian
Citation: O. Yu. Tsvelodub, “Wave regimes on a nonisothermal film of a viscous liquid flowing down a vertical plane”, Prikl. Mekh. Tekh. Fiz., 49:2 (2008), 89–97; J. Appl. Mech. Tech. Phys., 49:2 (2008), 231–238
Citation in format AMSBIB
\Bibitem{Tsv08}
\by O.~Yu.~Tsvelodub
\paper Wave regimes on a nonisothermal film of a viscous liquid flowing down a vertical plane
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2008
\vol 49
\issue 2
\pages 89--97
\mathnet{http://mi.mathnet.ru/pmtf1887}
\elib{https://elibrary.ru/item.asp?id=11665467}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2008
\vol 49
\issue 2
\pages 231--238
\crossref{https://doi.org/10.1007/s10808-008-0033-3}
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