Skip to main content
SpringerLink
Log in

A Through Method for Solving Problems of Heat and Mass Transfer in Vapor–Liquid Systems That Takes Account of Many-Particle Interactions

  • KINETIC THEORY OF TRANSFER PROCESSES
  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

The paper demonstrates a further development of the approach, which makes it possible to take into account many-particle interactions inside of the condensed phase. This method is applied to the study of the problem of heat conduction for argon and xenon. The values of thermal conductivity coefficient for different numbers of interacting particles are obtained. Next, using the proposed approach, a one-dimensional problem of evaporation–condensation of argon between two layers of liquid is solved. Distributions of macroparameters along the coordinate and their evolution in time are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. S. I. Anisimov, Evaporation of metal under the action of laser radiation, Zh. Éxp. Teor. Fiz., 54, No. 1, 339 (1968).

  2. M. N. Kogan and N. K. Makashev, On the role of the Knudsen layer in the theory of heterogeneous reactions and in flows with reactions on the surface, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 3–11 (1971).

  3. F. G. Cheremisin, The movement of a rarefied gas between infinite plane-parallel emitting and absorbing surfaces, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 176–178 (1972).

  4. S. M. Yen, Numerical solutions of non-linear kinetic equations for a one-dimensional evaporation condensation problem, Comput. Fluids, 1, 367–377 (1973).

    Article  Google Scholar 

  5. M. Murakami and K. Oshima, Kinetic approach to the transient evaporation and condensation problem, in: M. Becker and M. Fiebig (Eds.), Rarefied Gas Dynamics, DFVLR Press, Pors-Wahn (1974).

  6. J. Fischer, Distribution of pure vapor between two parallel plates under the influence of strong evaporation and condensation, Phys. Fluids, 19, 1305–1311 (1976).

    Article  Google Scholar 

  7. T. Ytrehus, Theory and experiments on gas kinetics in evaporation, in: Rarefied Gas Dynamics, Part 2, AIAA, New York (1977), pp. 1197–1212.

  8. D. A. Labuntsov and A. P. Kryukov, Analysis of intensive evaporation and condensation, Int. J. Heat Mass Transf., 22, 989–1002 (1979).

    Article  Google Scholar 

  9. S. J. Knight, Theoretical modeling of rapid surface vaporization with back pressure, AIAA J., 17, Issue 5, 519–523 (1979).

    Article  Google Scholar 

  10. C. Cercignani, Strong evaporation of a polyatomic gas, in: S. S. Fisher (Ed.), RarefiGas Dynamics, Part 1, AIAA, New York (1981), pp. 305–310.

  11. K. Aoki and C. Cercignani, Evaporation and condensation on two parallel plates at finite Reynolds numbers, Phys. Fluids, 26, No. 5, 1163–1164 (1983).

    Article  Google Scholar 

  12. A. Frezzotti, Boundary conditions at the vapor–liquid interface, Phys. Fluids, 23, No. 3, Article ID 030609 (2011).

  13. M. Kon, K. Kobayashi, and M. Watanabe, Kinetic boundary condition in vapor–liquid two-phase system during unsteady net evaporation/condensation, Europ. J. Mech. — B/Fluids, 64, 81–92 (2017).

  14. I. N. Shishkova, A. P. Kryukov, and V. Yu. Levashov, Study of evaporation–condensation problems: From liquid through interface surface to vapor, Int. J. Heat Mass Transf., 112, 926–932 (2017).

    Article  Google Scholar 

  15. I. N. Shishkova, A. P. Kryukov, and V. Yu. Levashov, Vapour–liquid jointed solution for the evaporation–condensation problem, Int. J. Heat Mass Transf., 141, 9–19 (2019).

    Article  Google Scholar 

  16. V. Ya. Rudyak, Statistical Theory of Dissipative Process in Gases and Liquids [in Russian], Nauka, Novosibirsk (1987).

  17. A. A. Tsykalo and M. M. Kontsov, Eff ect of three-particle nonadditive interactions on the thermodynamic properties of dense gases and liquids, Zh. Tekh. Fiz., 47, No. 12, 2601–2607 (1977).

    Google Scholar 

  18. M. N. Kogan, Dynamics of the Rarified Gas [in Russian], Nauka, Moscow (1967).

  19. I. N. Shishkova, S. S. Sazhin, and J.-F. Xie, A solution of the Boltzmann equation in the presence of inelastic collisions, J. Comput. Phys., 232, 87–99 (2013).

    Article  Google Scholar 

  20. M. P. Malkov (Ed.), I. B. Danilov, A. G. Zeldovich, and A. B. Fradkov, Handbook of Physical and Technical Fundamentals of Cryogenics [in Russian], Énergoatomizdat, Moscow, 1985.

  21. I. Shishkova and A. Kryukov, Development of a unified numerical kinetic approach, taking into account many-particle interactions in liquid–vapor systems, Am. J. Phys. Appl., 9, Issue 5, 116–120 (2021).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Research University “MPEI”, 17 Krasnokazarmennaya Str, Moscow, 111250, Russia

    I. N. Shishkova & A. P. Kryukov

Authors
  1. I. N. Shishkova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. P. Kryukov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. N. Shishkova.

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 96, No. 7, pp. 1926–1936, November–December, 2023.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shishkova, I.N., Kryukov, A.P. A Through Method for Solving Problems of Heat and Mass Transfer in Vapor–Liquid Systems That Takes Account of Many-Particle Interactions. J Eng Phys Thermophy 96, 1891–1901 (2023). https://doi.org/10.1007/s10891-023-02860-4

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-023-02860-4

Keywords

Search

Navigation