A new Asymptotic Theory of Turbulent Boundary Layers and the Turbulent Goldstein Problem

  • R. E. Melnik
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


In this paper we present a new asymptotic theory for the description of fully developed turbulent boundary layers and we apply it to determine the limiting behavior of solutions to the boundary layer equations near the point of zero skin friction in a prescribed adverse pressure gradient. In his classic paper, [1] Goldstein addressed this problem for laminar flow, while here we consider the corresponding problem for turbulent flow.


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  1. 1.
    Goldstein, S.: Quart. J. Mech. Appl. Math, 1, 1948.Google Scholar
  2. 2.
    Yajnik, K.S.: J. Fluid Mech, 42, 1970.Google Scholar
  3. 3.
    Mellor, G.L.: Int. J. Engng Sci., 10, 1972.Google Scholar
  4. 4.
    Melnik, R.E.: Grumman Corp. Res. Cent. Report RE-722, 1986.Google Scholar
  5. 5.
    Cebeci, T.; Smith, A.M.O.: Analysis of TurbulentBoundary Layers, 1974.Google Scholar
  6. 6.
    Edwards, D.E.; Carter, J.E.: AIAA Paper 85–0371, 1985.Google Scholar
  7. 7.
    Townsend, A.A.: The Structure of Turbulent Shear Flows, second ed., 1976.Google Scholar
  8. 8.
    Mellor, G.L.; Gibson, D.M.: J. Fluid Mech., 24, 1966.Google Scholar

Copyright information

© Springer-Verlag Berlin, Heidelberg 1987

Authors and Affiliations

  • R. E. Melnik
    • 1
  1. 1.Grumman Corporate Research CenterBethpageUSA

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