There exist two very simple classical models for separated flow behind a bluff body - Helmholtz/Kirchhoff and Prandtl/Batchelor. These both have a pleasant simplicity but agreement with experiment is only qualitative. A simple combination of these two is presented for flow down a step which gives better quantitative results. The techniques of thin airfoil theory are applied when the aspect ratio of the separated region is large.


Shear Layer Separate Region Separate Flow Laminar Boundary Layer Step Height 
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  1. 1.
    O’Malley, K., Fitt, A.D., Jones, T.V., Ockendon, J. R. and Wilmott, P. Models for high Reynolds number flow down a step. Submitted to J. Fluid Mech.Google Scholar
  2. 2.
    Moore, T.W.F. (1960) Some experiments on the reattachment of a laminar boundary layer separating from a rearward facing step on a flat plate aerofoil. J. Royal Aeron. Soc. 64 668–672.Google Scholar
  3. 3.
    Moss, W. D., Baker, S. (1980) Recirculating flows associated with two-dimensional steps. Aero.Q. 31 151–172.Google Scholar
  4. 4.
    Naranyanan, M. A. B., Khadgi, Y.N. and Visvanath, P. R. (1974) Similarities in pressure distribution in separated flow behind backward facing steps. Aero.Q. 25 305–312.Google Scholar
  5. 5.
    Roshko, A., Lau, J.C. (1965) Some observations on transition and reattachment of a free shear layer in incompressible flow. Proc. 1965 Heat Transfer and Fluid Mechanics Institute, Stanford University Press.Google Scholar
  6. 6.
    Tani, I., Iuchi.M. and Komoda, H. (1961) Experimental investigation of flow separation associated with a step or a groove. Aero. Res. Inst., Univ. of Tokyo, rept. 364.Google Scholar
  7. 7.
    Childress, S. (1966) Solutions of Euler’s equations containing finite eddies. Phys. Fluids 9 860–872.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© B.G. Teubner Stuttgart and Kluwer Academic Publishers 1991

Authors and Affiliations

  • Paul Wilmott
    • 1
  1. 1.Mathematical InstituteUniversity of OxfordOxfordUK

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