Advertisement

Russian Aeronautics

, Volume 61, Issue 2, pp 236–243 | Cite as

Numerical Simulation of High-Speed Flows Using the Algebraic Reynolds Stress Model

  • A. M. MolchanovEmail author
  • A. S. Myakochin
Aero- and Gas-Dynamics of Flight Vehicles and Their Engines
  • 9 Downloads

Abstract

A turbulence model for high-speed compressible flows is developed. It is based on modeling the rapid and slow parts of pressure-strain correlation depending on gradient Mach number and on the assumption that the velocity fluctuations normal to streamlines play a key role in turbulent mixing process. It is shown that an increase in the flow velocity leads to a slowing of turbulent mixing and an increase in the anisotropy of the flow. Comparison of the calculation results with the available experimental data showed good agreement.

Keywords

turbulence supersonic flows pressure-strain correlation strain rate tensor 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Mingazov, B.G. and Davletshin, I.S., On Choice of Turbulence Models and Grid Parameters for Computation of Flows in Diffuser Ducts, Izv. Vuz. Av. Tekhnika, 2011, vol. 54, no.4, pp. 24–28 [Russian Aeronautics (Engl. Transl.), vol. 54, no. 4, pp. 359–366].Google Scholar
  2. 2.
    Glebov, G.A. and Molchanov, A.M., Model of Turbulence for Supersonic Reacting Jets, Issledovanie teploobmena v letatelnykh apparatakh (Investigation of Heat Transfer in Flying Vehicles), Moscow: MAI, 1982, pp. 6–11.Google Scholar
  3. 3.
    Sarkar, S., Erlebacher, G., and Hussaini, M.Y., Compressible Homogeneous Shear: Simulation and Modeling, NASA Contractor Report 189611, ICASE Report no. 92–6 /NASA, Washington, 1992.zbMATHGoogle Scholar
  4. 4.
    Vreman, A.W., Sandham, N.D., and Luo, K.H., Compressible Mixing Layer Growth Rate and Turbulence Characteristics, Journal of Fluid Mechanics, 1996, vol. 320, pp. 235–258.CrossRefzbMATHGoogle Scholar
  5. 5.
    Goebel, S.G. and Dutton, J.C. Experimental Study of Compressible Turbulent Mixing Layers, AIAA Journal, 1991, vol. 29, no. 4, pp. 538–546.CrossRefGoogle Scholar
  6. 6.
    Simone, A., Coleman, G.N., and Cambon, C., The Effect of Compressibility on Turbulent Shear Flow: a Rapid-Distortion-Theory and Direct-Numerical-Simulation Study, Journal of Fluid Mechanics, 1997, vol. 330, pp. 307–338.CrossRefzbMATHGoogle Scholar
  7. 7.
    Launder, B.E., Reece, G.J., and Rodi, W., Progress in the Developments of a Reynolds-Stress Turbulence Closure, Journal of Fluid Mechanics, 1975, vol. 68, no. 3, pp. 537–566.CrossRefzbMATHGoogle Scholar
  8. 8.
    Gomez, C.A. and Girimaji, S.S., Explicit Algebraic Reynolds Stress Model (EARSM) for Compressible Shear Flows, Theoretical and Computational Fluid Dynamics, 2014, vol. 28, no. 2, pp. 171–196.CrossRefGoogle Scholar
  9. 9.
    Eisfeld, B., Rumsey, C., and Togiti, V., Verification and Validation of a Second-Moment-Closure Model, AIAA Journal, 2016, vol. 54, no. 5, pp. 1524–1541.CrossRefGoogle Scholar
  10. 10.
    Lau, J.C., Morris, P.J., and Fisher, M.J., Measurements in Subsonic and Supersonic Free Jets Using a Laser Velocimeter, Journal of Fluid Mechanics, 1979, vol. 93, no. 1, pp. 1–27.CrossRefGoogle Scholar
  11. 11.
    Krasotkin, V.S., Myshanov, A.I., Shalaev, S.P., Shirokov, N.N. and Yudelovich, M.Ya., Investigation of Supersonic Isobaric Submerged Turbulent Jets, Izv. AN SSSR. Mekhanika Zhikosti i Gaza, 1988, no. 4, pp. 56–62 [Fluid Dynamics, 1988, vol. 23, no. 4, pp. 529–534].Google Scholar
  12. 12.
    Safronov, A.V. and Khotulev, V.A., Results of Experimental Researches of the Supersonic Cold and Hot Jet, Fiziko-Khimicheskaya Kinetika v Gazovoi Dinamike [Electronic journal], 2008, vol. 6, URL: http://chemphys.edu.ru/issues/2008-6/articles/280/.Google Scholar

Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Moscow Aviation Institute (National Research University)MoscowRussia

Personalised recommendations