Boundary-Layer Flow

  • Günter BrennEmail author
Part of the Mathematical Engineering book series (MATHENGIN)


The present chapter discusses steady flows of boundary-layer type, which may be described analytically in simple geometries of the flow fields by solutions of the momentum equation in boundary-layer form. The boundary-layer character of the flows is brought about by the superimposition of convective momentum transport in the main flow direction and diffusive (or turbulent) transport in the direction transverse to it. This type of flow occurs not only due to the presence of solid walls, but also in the propagation of momentum by the two mechanisms in free shear layers, submerged free jets, and wakes. All the flows discussed here are treated by the concept of self-similarity. In [2] we find an extensive section by Yarin about self-similar flows, with a large table of solutions including temperature fields.


Flow Field Stream Function Momentum Transport Free Shear Layer Defect Velocity 
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  1. 1.
    Gampert, B.: Grenzschichttheoretische Probleme des aerodynamischen Schmelzspinnprozesses (Boundary layer flow problems in aerodynamic melt spinning, in German). Ph.D. Thesis Berlin University of Technology (1973)Google Scholar
  2. 2.
    Tropea, C., Yarin, A.L., Foss, J.F. (eds.): Handbook of Experimental Fluid Mechanics. Springer, Berlin Heidelberg (2007)Google Scholar
  3. 3.
    Schlichting, H.: Grenzschichttheorie (Boundary Layer Theory, in German), 8th edn. Braun, Karlsruhe (Germany) (1982)Google Scholar

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© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Institute of Fluid Mechanics and Heat TransferGraz University of TechnologyGrazAustria

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