2013 1(12)

Back to table of content

   Short abstract

 

Pages:

83 - 89

Language:

RU

Ref.:

7


Click to get extended abstract


Download paper: [RU]

2013_1(12)_15.pdf

 

 

THREE-DIMENSIONAL WAVES IN THE LIQUID FILM

Aktershev S.P., Alekseenko S.V.

Institute of Thermophysics SB RAS, Novosibirsk, Russia


Citation:

Aktershev, S.P. and Alekseenko, S.V., (2013) Three-dimensional waves in the liquid film, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(12), PP. 83 - 89.


Keywords:

liquid film; three-dimensional waves; stability; numerical simulation of non-linear waves


Abstracts:

Interest to the flows of a liquid film is caused both scientific significance and various applications of this type of flows. The important characteristic of such flows is their wave structure influencing both on transport processes, and on features of a flow. Problems of an intensification of heat transfer and mass transfer processes demand the further development and generalization the available models of wavy film flows. The general reason restraining development of theoretical models is not only the complexity of a problem, but also an insufficient study of three-dimensional waves in liquid films. At present time there are relatively a few experimental and theoretical works devoted to three-dimensional waves in thin liquid films. The goal of the presented paper is to develop the model describing three-dimensional waves in a film which takes into consideration the complex conditions on an interface without assuming self-similarity of velocity. The proposed model is based on an integral approach and an expansion of velocity into system of linearly independent basis functions (harmonics). This model, to a certain extent, is a generalization of the Shkadov’s IBL model, however, possesses a greater «degree of freedom» for the velocity profile shape. The proposed model allows describing in more details the dynamics of waves and the features of transport processes in wavy films of liquid. A linear analysis of flow stability concerning two-dimensional and three-dimensional perturbations is performed for the falling film and also a numerical simulation of non-linear waves is carried out. Results of calculations for two-dimensional waves agree well with available experimental data. As an example of three-dimensional waves the simulation of evolution of the localized perturbation of soliton type in vertical liquid film is carried out.


References:

  1. Актершев С.П. Волны в стекающей пленке жидкости / С.П. Актершев, С.В. Алексеенко // Современная наука: исследования, идеи, результаты, технологии. - Днепропетровск: НПВК "Триакон". - 2012. - Вып. 2(10). - С. 73 - 78.

  2. S.P. Aktershev and S.V. Alekseenko (2013), "Model of a wavy flow in a falling film of a viscous liquid" J. Applied Mechanics and Technical Physics, Vol. 54, No 2, pp. 185-194

  3. Капица П.Л. Волновое течение тонких слоев вязкой жидкости // ЖЭТФ. - 1948. -Т. 18. - № 1. - С.3-28.

  4. Шкадов В.Я. Волновые режимы течения тонкого слоя вязкой жидкости под действием силы тяжести // Изв. АН СССР. МЖГ. -1967. -№ 1. - С. 43-51.

  5. Trifonov Yu.Ya., Tsvelodub O.Yu. (1985), "Wave modes in the falling liquid films", in Hydrodynamics and Heat and Mass Transfer of Liquid Flows with a Free Surface, Institute of Thermophysics, SB Acad. Sci. USSR, Novosibirsk, pp. 82-102.

  6. S.V. Alekseenko, V.Ye. Nakoryakov, B.G. Pokusaev (1985), "Wave formation on a vertical falling liquid film", AIChE, Vol. 31, No. 9, pp. 1446-1460.

  7. Petviashvili V.I., Tsvelodub O.Yu. (1978), "Horseshoe-shaped solitons on a falling liquid film", Dokl. Akad. Nauk SSSR, Vol. 238, pp. 1321-1323.

 

 
     

© SPIC "Kappa", LLC 2009-2016