Publicado 4 números por año
ISSN Imprimir: 2169-2785
ISSN En Línea: 2167-857X
Indexed in
NON-LINEAR WAVES IN FILMS AT LOW KAPITSA NUMBERS
SINOPSIS
Methods and results of mathematical modeling of nonlinear waves excited by hydrodynamic instability in moving capillary films of a viscous fluid are discussed. Two model systems of differential equations for local values of the layer thickness and fluid flow are considered. One-parameter Kapitsa-Shkadov model is widely used in the world literature on the films hydrodynamics. The two-parameter model expands the possibilities for the direct calculation of nonlinear waves in films of high viscosity liquids. The scenarios of instability and bifurcations are discussed, and the results of calculations of wave structures are presented.
-
Alekseenko, S.,Nakoryakov, V., andPokusaev, B., Wave Flow of Liquid Films, New York, NY: Begell House, 1994.
-
Bunov, A., Demekhin, E., Epikhin, V., Filyand, L., and Shkadov, V., Institute of Mechanics, Lomonosov Moscow State University, Moscow, Russia, Tech. Rep. 2564,1981.
-
Bunov, A., Demekhin, E., and Shkadov, V., On the Non-Uniqueness of Non-Linear Wave Solutions in a Viscous Layer, J. Appl. Math. Mech., vol. 48, no. 4, pp. 495-499,1984.
-
Demekhin, E., Tokarev, G., and Shkadov, V., Hierarchy of Bifurcation of Space-Periodic Structures in a Non-Linear Model of Active Dissipative Media, Phys. D, pp. 338-361,1991.
-
Kalliadasis, S., Ruyer-Quil, C., Scheid, B., and Velarde, M., Falling Liquid Films, London, UK: Springer, 2011.
-
Kapitsa, P. and Kapitsa, S., Wave Flows of Thin Viscous-Liquid Layers, Zh. Eksp. Teor. Fiz, vol. 19, no. 2, pp. 105-120,1949.
-
Koulago, A. and Parseghian, D., A Propos D'une Equation de la Dynamique Ondulatoire dans les Films Liquids, J. Phis. III, France, vol. 5, no. 3, pp. 309-312,1995.
-
Mendez, M., Scheid, B., and Buchlin, J.M., Low Kapitsa Falling Liquid Films, Chem. Eng. Sci., vol. 170, pp. 122-138,2017.
-
Meza, C. and Balakotaiah, V., Modeling and Experimental Studies of Large Amplitude Waves on Vertically Falling Films, Chem. Eng. Sci., vol. 63, pp. 4704-4734,2008.
-
Nepomnyashchy, A., On the Stability of Wavy Motions in a Film Flowing down an Inclined Plane, Izv. Acad. Nauk. SSSR Mech. Zidk. Gaza, no. 3, pp. 28-34,1974.
-
Nguyen, L. and Balakotaiah, V., Modeling and Experimental Studies of Wave Evolution on Free Falling Viscous Films, Phys. Fluids, vol. 12, no. 9, pp. 2236-2256,2000.
-
Shkadov, V., Wave Flow Regimes of a Thin Layer of Viscous Fluid Subject to Gravity, Fluid Dyn., vol. 2, no. 1, pp. 29-34,1967.
-
Shkadov, V., Nonlinear Hydrodynamic Stability of Viscous Liquid Layers, Capillary Jets and Inner Flows, PhD, Deptartment of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia, 1973.
-
Shkadov, V., Solitary Waves in a Layer of Viscous Liquid, Fluid Dyn., vol. 12, no. 1, pp. 52-55,1977.
-
Shkadov, V., A Two-Parameter Model of Wave Regimes for Viscous Liquid Film Flows, Moscow Univ. Mechan. Bull., vol. 68, no. 4, pp. 86-93,2013.
-
Shkadov, V. and Demekhin, E., Wave Motions of Liquid Films along a Vertical Surface (Theory for Interpreting Experiments), Usp. Mekh, vol. 4, no. 2, pp. 3-65,2006.
-
Shkadov, V. and Sisoev, G., Wavy Falling Liquid Films: Theory and Computations Instead of Physical Experiment, Proc. ofIUTAM Symposium on Nonlinear Waves in Multi-Phase Flow, Notre Dame, IL, July 7-9, 1999.
-
Shkadov, V. and Sisoev, G., Wavy Falling Liquid Films: Theory and Computations Instead of Physical Experiment, in IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow. Fluid Mechanics and Its Applications, H.C. Chang, Ed., vol. 57, Dordrecht, Netherlands: Kluwer Academic Publishers, pp. 1-10,2000.
-
Sisoev, G. and Shkadov, V., Development of Dominating Waves from Small Disturbances in Falling Viscous-Liquid Films, Fluid Dyn., vol. 32, no. 6, pp. 784-792,1997.