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Simulation of nonlinear waves on the surface of a thin fluid film moving under the action of turbulent gas flow

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Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

This paper derives a new system of equations for the simulation of the long-wave perturbation dynamics on the surface of a thin horizontal layer of heavy viscous fluid moving under the action of turbulent gas flow. In the case of small Reynolds numbers of the fluid, this system of equations is used to derive an evolution equation for the value of deviation of the film thickness from the unperturbed level. Some solutions of this equation are given.

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References

  1. P. I. Geshev and B. S. Ezdin, “The Calculation of the Velocity Profile and Shape of the Wave on a Flowing-Down Fluid Film,” in Hydrodynamics and Heat and Mass Transfer of Liquid Flows with a Free Surface: Collection of Papers (Kutateladze Inst. of Thermal Physics, Siberian Branch, USSR Acad. of Sci., Novosibirsk, 1985).

    Google Scholar 

  2. S. B. Alekseenko, D. G. Arkhipov, and O. Yu. Tsvelodub, “Divergent System of Equations for a Fluid Film Flowing Down along a Vertical Surface,” Dokl. Akad. Nauk 436 (1), 43–46 (2011).

    Google Scholar 

  3. I. C. Vozhakov, D. D. Arkhipov, O. Yu. Tsvelodub, “Simulation of Nonlinear Waves on the Surface of a Thin Fluid Film Entrained by Turbulent Gas Flow,” Teplofiz. Aeromekh. 22 (2), 201–212 (2015).

    Google Scholar 

  4. O. Yu. Tsvelodub and D. G. Arkhipov, “Nonlinear Wave Simulation on a Surface of Liquid Film Entrained by Turbulent Gas Flow at Weightlessness,” Microgravity Sci. Technol. 25 (3), 179–186 (2013).

    Article  ADS  Google Scholar 

  5. O. Yu. Tsvelodub, “Simulation of Wave Regimes on a Viscous Liquid Film Flowing Down along a Vertical Surface,” Teplofiz. Aeromekh. 19 (2), 183–192 (2012).

    Google Scholar 

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Authors and Affiliations

  1. Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    O. Yu. Tsvelodub & D. G. Arkhipov

  2. Novosibirsk State University, Novosibirsk, 630090, Russia

    O. Yu. Tsvelodub & D. G. Arkhipov

Authors
  1. O. Yu. Tsvelodub
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  2. D. G. Arkhipov
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Corresponding author

Correspondence to O. Yu. Tsvelodub.

Additional information

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 58, No. 4, pp. 56–67, July–August, 2017.

Original Russian Text © O.Yu. Tsvelodub, D.G. Arkhipov.

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Tsvelodub, O.Y., Arkhipov, D.G. Simulation of nonlinear waves on the surface of a thin fluid film moving under the action of turbulent gas flow. J Appl Mech Tech Phy 58, 619–628 (2017). https://doi.org/10.1134/S0021894417040058

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  • DOI: https://doi.org/10.1134/S0021894417040058

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