Abstract:
Equations of a thin-film flow with linear dependences of viscosity and surface tension of the liquid on temperature are derived. The impact of various factors on the shape of the free boundary of the film are numerically analyzed.
Citation:
Yu. O. Kabova, V. V. Kuznetsov, “Downward flow of a nonisothermal thin liquid film with variable viscosity”, Prikl. Mekh. Tekh. Fiz., 43:6 (2002), 134–141; J. Appl. Mech. Tech. Phys., 43:6 (2002), 895–901
\Bibitem{KabKuz02}
\by Yu.~O.~Kabova, V.~V.~Kuznetsov
\paper Downward flow of a nonisothermal thin liquid film with variable viscosity
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2002
\vol 43
\issue 6
\pages 134--141
\mathnet{http://mi.mathnet.ru/pmtf2698}
\elib{https://elibrary.ru/item.asp?id=17274738}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2002
\vol 43
\issue 6
\pages 895--901
\crossref{https://doi.org/10.1023/A:1020772706082}
Linking options:
https://www.mathnet.ru/eng/pmtf2698
https://www.mathnet.ru/eng/pmtf/v43/i6/p134
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S. J. D. D'Alessio, C. J. M. P. Seth, J. P. Pascal, “The effects of variable fluid properties on thin film stability”, Physics of Fluids, 26:12 (2014)
V. V. Kuznetsov, V. K. Andreev, “Liquid film and gas flow motion in a microchannel with evaporation”, Thermophys. Aeromech., 20:1 (2013), 17
J.P. Pascal, N. Gonputh, S.J.D. D'Alessio, “Long-wave instability of flow with temperature dependent fluid properties down a heated incline”, International Journal of Engineering Science, 70 (2013), 73
K. A. Ogden, S. J. D. D'Alessio, J. P. Pascal, “Gravity-driven flow over heated, porous, wavy surfaces”, Physics of Fluids, 23:12 (2011)
G. A. Leslie, S. K. Wilson, B. R. Duffy, “Non-isothermal flow of a thin film of fluid with temperature-dependent viscosity on a stationary horizontal cylinder”, Physics of Fluids, 23:6 (2011)
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Feng Zhang, You-Ting Wu, Jiao Geng, Zhi-Bing Zhang, “An investigation of falling liquid films on a vertical heated/cooled plate”, International Journal of Multiphase Flow, 34:1 (2008), 13
A. A. Korzhavin, A. V. Vyun, N. A. Kakutkina, I. G. Namyatov, V. S. Babkin, “Free-convective regime of flame spread over a fuel film on a substrate”, Combustion, Explosion and Shock Waves, 43:5 (2007), 509–517
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