Skip to main content

Mathematical Modeling of Hydrodynamics of an Axisymmetric Two-Phase Flow Produced by a Nozzle

  • Chapter
  • First Online:
  • 484 Accesses

Abstract

Now, two approaches are known for simulating a two-phase flow of sprayed liquid in a gas by using an injector. These are a method of mutually penetrating continua and the method of turbulent jets. Taking into account the flow peculiarities revealed in the analysis of the experimental results, it turned out that none of the abovementioned approaches taken separately can be used to model the spray flow. But it is possible to use their combination.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Rychkov, A. D., & Shraiber, A. A. (1985). Axisymmetric polydisperse two-phase flow with coagulation and fragmentation of particles for an arbitrary fragment distribution by mass and velocity. Izvestiya AN SSSR. Mekh. Zhidkosti i Gaza (Mechanism of Fluid and Gas), (3), 73–79.

    Google Scholar 

  2. Sou, S. (1971). Hydrodynamics of multiphase systems (Russian Transl.). (Mir, Moscow).

    Google Scholar 

  3. Nigmatulin, R. I. (1978). Fundamentals of mechanics of heterogeneous media. Moscow: Nauka.

    Google Scholar 

  4. Belotserkovsky, O. M., & Davydov, Y. M. (1982). The method of large particles in gas dynamics. Moscow: Nauka.

    Google Scholar 

  5. Abramovich, G. N. (1960). The theory of turbulent jets. Moscow: Fizmatgiz.

    Google Scholar 

  6. Abramovich, G. N., et al. (1975). Turbulent currents under the influence of bulk forces and non-self-similarity. Moscow: Mashinostroyeniye.

    Google Scholar 

  7. Abramovich, G. N. (1970). On the influence of an admixture of solid particles or droplets on the structure of a turbulent gas jet. DAN SSSR (Reports of AS USSR), 190(5), 1052–1055.

    Google Scholar 

  8. Abramovich, G. N., et al. (1972). Turbulent jet with heavy impurities. Izvestiya AN SSSR. Mekh. Zhidkosti i Gaza (Mechanism of Fluid and Gas), (5), 41–49.

    Google Scholar 

  9. Abramovich, G. N., & Girshovich, T. A. (1972). The initial part of a turbulent jet containing heavy impurities in a spiral stream. In Investigations of two-phase, magneto-hydrodynamic and swirling turbulent jets (Proceedings of the MAI, Moscow), No. 40, pp. 5–24.

    Google Scholar 

  10. Abramovich, G. N., & Girshovich, T. A. (1973). On the diffusion of heavy particles in turbulent flows. DAN SSSR (Reports of AS USSR), 212(3), 573–576.

    Google Scholar 

  11. Potter, D. (1975). Computational methods in physics (Russian Transl.). (Mir, Moscow).

    Google Scholar 

  12. Roach, P. (1980). Computational hydrodynamics (Russian Transl.). (Mir, Moscow).

    Google Scholar 

  13. Dyachenko, V. F. (1977). Osnovnyye ponyatiya vychislitel’noy matematiki (basic concepts of computational mathematics). Moscow: Nauka.

    Google Scholar 

  14. Van Leer, B. (1969). Stabilization of difference schemes for the equation of inviscid transfer problems in thick layers. Journal of Computational Physics, 3, 291–306.

    Google Scholar 

  15. Loitsyansky, G. G. (1978). Mechanics of fluid and gas. Moscow: Nauka.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Simakov, N.N. (2020). Mathematical Modeling of Hydrodynamics of an Axisymmetric Two-Phase Flow Produced by a Nozzle. In: Liquid Spray from Nozzles. Innovation and Discovery in Russian Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-030-12446-5_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-12446-5_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-12445-8

  • Online ISBN: 978-3-030-12446-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics