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Simple Solutions of Boundary Layer Equations

  • Kolumban HutterEmail author
  • Yongqi Wang
Chapter
Part of the Advances in Geophysical and Environmental Mechanics and Mathematics book series (AGEM)

Abstract

In this chapter two- and three-dimensional boundary layer flows in the vicinity of a stagnation point are studied as are flows around wedges and along wedge sidewalls. The flow, induced in the half plane above a rotating plane, is also analyzed. The technique of the boundary layer approach is commenced with the Blasius flow, but more importantly, the boundary layer solution technique for the Navier-Stokes equations is explained by use of the method of matched asymptotic expansions. Moreover, the global laws of the steady boundary layer theory are explained with the aid of the Holstein-Bohlen procedure. The chapter ends with a brief study of non-stationary boundary layers, in which e.g. an impulsive start from rest, flow in the vicinity of a pulsating body, oscillation induced drift current and non-stationary plate boundary layers are studied.

Keywords

Stagnation point flow Flows around wedges and along wedge side walls Flow on top of a rotating plane Blasius flows Boundary layer solutions of the Navier-Stokes equations by matched asymptotic expansions Holstein-Bohlen procedure based on global laws Nonsteady boundary layers 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Versuchsanstalt für Wasserbau, Hydrologie und GlaziologieETH ZürichZürichSwitzerland
  2. 2.Department of Mechanical EngineeringTechnische Universität DarmstadtDarmstadtGermany

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