Supercritical Mixing of Flows with High Density Gradient

  • C. Huhn
  • W. Koschel
Conference paper
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM) book series (NNFM, volume 82)


To analyze the supercritical mixing behavior of a two-phase flow a coaxial flow of two gases with variable density gradient is investigated. The main item is the comparison of the core length development by varying the density ratio of the inner heavy gas jet to the annular light gas jet from 30 to 45. Thereby the velocity ratio between the slow heavy jet and the low density high speed flow is kept constant. The numerical simulation is carried out with a 2D Navier Stokes solver for compressible multi-species flows on an unstructured triangular grid. The mixing process, which is mainly determined by turbulent structures in the flow field is described with a k - ε model. The transport equations are integrated in time with a fifth order Runge-Kutta algorithm.


Turbulent Kinetic Energy Density Ratio Core Length Mesh Parameter Momentum Ratio 
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  1. [1]
    Mayer, W., Schik, A., Vieille, B. et al.: “Atomization and breakup of cryogenic propellants under high-pressure subcritical and supercritical conditions”. Journal of Propulsion and Power 14 (1998) pp. 835–842CrossRefGoogle Scholar
  2. [2]
    Koschel, W.: “Raumfahrtantriebe I”. lecture script, RWTH Aachen (2001)Google Scholar
  3. [3]
    Stoukov, A., Vandromme, D., Silvani, X., Ha Minh, H.: “Numerical simulation of turbulent high speed flows, Part II”. In Hirschel, E., ed.: Numerical Flow Simulation I. Springer Verlag (1999) pp. 278–297.Google Scholar
  4. [4]
    Sutherland, D.M.: “The viscosity of gases and molecular torce”. Phil. Mag. 36 (1893) p. 507 d .zbMATHGoogle Scholar
  5. [5]
    Bardina, J E., Huang, P.G., Coakley, T.J.: “Turbulence modeling validation, testing, and development”. Technical report, Ames Research Center, California (1997)Google Scholar
  6. [6]
    Launder, B.: “Mathematical Models of Turbulence”. Academic Press (1972)zbMATHGoogle Scholar
  7. [7]
    Bikker, S., Greza, H., Koschel, W.: “Parallel computing and multigrid solution on adaptive unstructured meshes”. Notes on Numerical Fluid Mechanics 47 (1994) pp. 9–16Google Scholar
  8. [8]
    Mavriplis, D.J., Venkatakrishan, V.: “Agglomeration multigrid for twodimensional viscous flows”. Computers & Fluids 24 (1995) pp. 553–570Google Scholar
  9. [9]
    Rick, W.: “Adaptive Galerkin Finite Elemente Verfahren zur numerischen Strömungssimulation auf unstrukturierten Netzen”. PhD thesis, Institut für Strahlantriebe, RWTH Aachen (1994)Google Scholar
  10. [10]
    Donea, J.: “A Taylor Galerkin method for convective transport problems”. Int. J. Num. Meth. Eng. 20 (1984) pp. 101–119zbMATHCrossRefGoogle Scholar
  11. [11]
    Morgan, K., Peraire, J.: “Finite element methods for compressible flows”. In: Lecture Series for Computational Fluid Dynamics, von Karman Institute for Fluid Dynamics, Rhode-Saint-Genese, Belgium (1987)Google Scholar
  12. [12]
    Villermaux, E.: “Mixing and spray formation in coaxial jets”. Journal of Propulsion and Power 14 (1998) pp. 807–817CrossRefGoogle Scholar
  13. [13]
    Lasheras, J.C., Villermaux, E., Hopfinger, E.J.: “Break-up and atomization of a round water jet by a high-speed annular air jet”. Journal of Fluid Mechanics 357 (1998) pp. 351–379CrossRefGoogle Scholar
  14. [14]
    Rehab, H., Villermaux, E., Hopfinger, E.J.: “Flow regimes of large-velocityratio coaxial jets”. Journal of Fluid Mechanics 345 (1997) pp. 357–381CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • C. Huhn
    • 1
  • W. Koschel
    • 1
  1. 1.Lehr- und Forschungsgebiet Betriebsverhalten der StrahlantriebeRWTH AachenAachenGermany

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