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

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Abstract

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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References

  1. Goldstein, S.: Quart. J. Mech. Appl. Math, 1, 1948.

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  2. Yajnik, K.S.: J. Fluid Mech, 42, 1970.

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  3. Mellor, G.L.: Int. J. Engng Sci., 10, 1972.

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  4. Melnik, R.E.: Grumman Corp. Res. Cent. Report RE-722, 1986.

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  5. Cebeci, T.; Smith, A.M.O.: Analysis of TurbulentBoundary Layers, 1974.

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  6. Edwards, D.E.; Carter, J.E.: AIAA Paper 85–0371, 1985.

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  7. Townsend, A.A.: The Structure of Turbulent Shear Flows, second ed., 1976.

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  8. Mellor, G.L.; Gibson, D.M.: J. Fluid Mech., 24, 1966.

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© 1987 Springer-Verlag Berlin, Heidelberg

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Melnik, R.E. (1987). A new Asymptotic Theory of Turbulent Boundary Layers and the Turbulent Goldstein Problem. In: Smith, F.T., Brown, S.N. (eds) Boundary-Layer Separation. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83000-6_13

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  • DOI: https://doi.org/10.1007/978-3-642-83000-6_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83002-0

  • Online ISBN: 978-3-642-83000-6

  • eBook Packages: Springer Book Archive

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