Journal of Applied Mechanics and Technical Physics

, Volume 23, Issue 5, pp 652–658 | Cite as

Use of single-point velocity probability distributions in describing turbulent flows

  • V. A. Sabel'nikov
Article

Keywords

Mathematical Modeling Mechanical Engineer Probability Distribution Industrial Mathematic Velocity Probability 

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Literature cited

  1. 1.
    A. S. Monin, “Equations of turbulent motion,” Prikl. Mat. Mekh.,31, No. 6 (1967).Google Scholar
  2. 2.
    T. S. Lundgren, “Distribution function in the statistical theory of turbulence,” Phys. Fluids,10, No. 5 (1967).Google Scholar
  3. 3.
    V. R. Kuznetsov, “The probability density of velocity differences at two points of homogeneous isotropic flow,” Prikl. Mat. Mekh.,31, No. 6 (1967).Google Scholar
  4. 4.
    F. R. Ulinich and B. Ya. Lyubimov, “Statistical theory of turbulence of an incompressible liquid for large Reynolds numbers,” Zh. Eksp. Teor. Fiz.,55, No. 3(9) (1968).Google Scholar
  5. 5.
    T. S. Lundgren, “Model equation for nonhomogeneous turbulence,” Phys. Fluids,12, No. 3 (1969).Google Scholar
  6. 6.
    P. M. Chung, “A simplified statistical model of turbulent chemically reacting shear flows,” AIAA J.,7, No. 10 (1969).Google Scholar
  7. 7.
    A. T. Onufriev, “Model equations for the probability density in the semiempirical theory of turbulent transport,” in: Turbulent Flows [in Russian], Nauka, Moscow (1977).Google Scholar
  8. 8.
    V. M. Ievlev, Turbulent Motion of High-Temperature Media [in Russian], Nauka, Moscow (1975).Google Scholar
  9. 9.
    V. R. Kuznetsov and V. I. Rasshchupkin, “Probability distributions and conditional averaging in turbulent flows,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6 (1977).Google Scholar
  10. 10.
    V. A. Sabel'nikov, “Equations for the velocity and concentration probability distributions in the turbulent and nonturbulent regions of free flows,” Uchn. Zap. TsAGI,XI, No. 6 (1980).Google Scholar
  11. 11.
    A. A. Townsend, The Structure of Turbulent Shear Flow, 2nd edn., Cambridge Univ. Press (1976).Google Scholar
  12. 12.
    V. R. Kuznetsov, “Probability distribution of the velocity difference in the inertia interval of the turbulence spectrum,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1976).Google Scholar
  13. 13.
    W. C. Reynolds, “Computation of turbulent flows,” Ann. Rev. Fluid Mech., Vol. 8, Palo Alto (1976).Google Scholar
  14. 14.
    J. Conte-Bello, Turbulent Flow in a Channel with Parallel Walls [Russian translation], Mir, Moscow (1968).Google Scholar
  15. 15.
    V. I. Bukreev, V. V. Zykov, and V. A. Kostomakha, “Probability distribution of velocity fluctuations in free and induced turbulent flows,” in: Turbulent Flows [in Russian], Nauka, Moscow (1977).Google Scholar
  16. 16.
    E. M. Shakhov, Methods of Studying the Motion of a Rarefied Gas [in Russian], Nauka, Moscow (1974).Google Scholar
  17. 17.
    R. Srinivassan, D. P. Giddens, L. H. Bangert, and J. S. Wu, “Turbulent plane Couette flow using probability distribution functions,” Phys. Fluids,20, No. 4 (1977).Google Scholar
  18. 18.
    N. V. Kislov, “Boundary-value problems for an equation of mixed type in a rectangular region,” Dokl. Akad. Nauk SSSR,255, No. 1 (1980).Google Scholar
  19. 19.
    V. A. Sabel'nikov, “The concentration probability distribution in a turbulent diffuse jet,” in: Gas Combustion and Natural Fuels [in Russian], Proc. Sixth All-Union Symp. Combustion and Detonation, Chernogolovka (1980).Google Scholar
  20. 20.
    M. S. Uberoi, “Equipartition of energy and local isotropy in turbulent flows,” J. Appl. Phys.,28, No. 10 (1957).Google Scholar
  21. 21.
    K. Hanjalic and B. E. Launder, “A Reynolds stress model of turbulence and its application to thin shear flow,” J. Fluid Mech.,52, Pt. 4 (1972).Google Scholar
  22. 22.
    K. Hanjalic and B. E. Launder, “Fully developed asymmetric flow in aplane channel,” J. Fluid Mech.,51, Pt. 2 (1972).Google Scholar

Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • V. A. Sabel'nikov
    • 1
  1. 1.Moscow

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