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Fluid DynamicsPart 3 Boundary Layers$
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Anatoly I. Ruban

Print publication date: 2017

Print ISBN-13: 9780199681754

Published to Oxford Scholarship Online: January 2018

DOI: 10.1093/oso/9780199681754.001.0001

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Classical Boundary-Layer Theory

Classical Boundary-Layer Theory

(p.4) 1 Classical Boundary-Layer Theory
Fluid Dynamics

Anatoly I. Ruban

Oxford University Press

Chapter 1 discusses the flows that can be described in the framework of Prandtl’s 1904 classical boundary-layer theory, including the Blasius boundary layer on a flat plate and the Falkner–Skan solutions for the boundary layer on a wedge surface. It presents Schlichting’s solution for the laminar jet and Tollmien’s solution for the viscous wake. These are followed by analysis of Chapman’s shear layer performed with the help of Prandtl’s transposition theorem. It also considers the boundary layer on the surface of a fast rotating cylinder with the purpose of linking the circulation around the cylinder with the speed of its rotation. It concludes discussion of the classical boundary-layer theory with analysis of compressible boundary layers, including the interactive boundary layers in hypersonic flows.

Keywords:   Blasius solution, Falkner–Skan solution, Schlichting’s laminar jet, Prandtl’s transposition theorem, Chapman’s shear layer, Tollmien’s solution

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