Skip to main content
SpringerLink
Log in

Lagrangian Modelling of Dust Admixture in Gas Flows

  • Published:
Astrophysics and Space Science Aims and scope Submit manuscript

Abstract

A method of calculating the dispersed-phase concentration in dusty gas flow, based on using the Lagrange form of the particle continuity equation, is developed. The method makes it possible to calculate the particle concentration along a fixed particle trajectory and to investigate flow regions with multiple intersection of particle trajectories and particle accumulation zones. The use of the method is illustrated by numerical calculations of the near-symmetry-axis region in a hypersonic flow colliding with a two-phase supersonic flow from a point source (the model of evaporation of a comet nucleus). It is demonstrated that, between the bow and termination shock waves, the particle concentration distribution may have a multi-layer structure with alternating layers of high and low particle concentration and sharp particle accumulation near the envelops of the particle trajectories.

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

  • Baranov, V.B.: 1993, Gasdynamical structure of the heliosphere, Fluid Dyn. 3, 3–24.

    MATH  Google Scholar 

  • Bondarev, E.N., et al.: 1993, Aerohydromechanics, Mashinostroenie, Moscow (in Russian).

    Google Scholar 

  • Carlson, D.J. and Hoglund, R.F.: 1964, Particle drag and heat transfer in rocket nozzles, AIAA J. 2 (11), 1980–1984.

    Article  Google Scholar 

  • Chernyi, G.G.: 1959, Gas Flows at High Supersonic Velocity, Fizmatgiz, Moscow (in Russian).

  • Crowe, C.T.: 1982, Review – numerical models for dilute gas-particle flows, ASME J., Fluids Engin. 104, 297–303.

    Article  Google Scholar 

  • Hayes, W.D. and Probstein, R.F.: 1959, Hypersonic Flow Theory, Acad. Press, New York.

    MATH  Google Scholar 

  • Marble, F.: 1970, Dynamics of dusty gases, Ann.Rev.Fluid Mech. 2, 397–446.

    Article  ADS  Google Scholar 

  • Osiptsov, A.N.: 1984, Investigation of regions with unbounded growth of the particle concentration in disperse flows, Fluid Dyn. 3, 378–384.

    Article  MATH  Google Scholar 

  • Osiptsov, A.N.: 1997, Mathematical modeling of dusty-gas boundary layers, Appl.Mech.Rev. 50 (6), 357–370.

    Article  Google Scholar 

  • Osiptsov, A.N. and Teverovskii, M.A.: 1998, Hypersonic flow past a supersonic two-phase source, Fluid Dyn. N3, 407–418.

    Article  Google Scholar 

  • Sedov, L.I.: 1971, A Course in Continuum Mechanics, Wolters-Noordhoff Publishing, Groningen.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mechanics, Lomonosov Moscow State University, Michurinskii pr. 1, 119899, Moscow, Russia

    A.N. Osiptsov

Authors
  1. A.N. Osiptsov
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Osiptsov, A. Lagrangian Modelling of Dust Admixture in Gas Flows. Astrophysics and Space Science 274, 377–386 (2000). https://doi.org/10.1023/A:1026557603451

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1026557603451

Keywords

Search

Navigation