On singular solutions of the incompressible boundary-layer equation including a point of vanishing skin friction

  • E. V. Bogdanova-Ryzhova
  • O. S. Ryzhov
Part of the Acta Mechanica book series (ACTA MECH.SUPP., volume 4)


Three different types of singularities of the Prandtl equation in the vicinity of a point where the skin friction becomes zero are under discussion. According to the weakest type singularity the skin friction varies as the square root of the cube of the local distance. The next type involves a sudden change in the skin friction derivative with respect to coordinate along the rigid surface. It is superseded by the famous Landau-Goldstein singularity with the skin friction being proportional to the square root of the distance. Then, a still more complicated flow pattern may be composed of the singularity with the sudden change in the skin friction derivative followed by the Landau-Goldstein singularity at some small distance downstream.


Wall Shear Stress Skin Friction Singular Solution Limit Regime Weak Singularity 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • E. V. Bogdanova-Ryzhova
    • 1
  • O. S. Ryzhov
    • 1
  1. 1.Department of MathematicsRensselaer Polytechnic InstituteTroyUSA

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