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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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Trailing-Edge Flow

Trailing-Edge Flow

Chapter:
(p.242) 3 Trailing-Edge Flow
Source:
Fluid Dynamics
Author(s):

Anatoly I. Ruban

Publisher:
Oxford University Press
DOI:10.1093/oso/9780199681754.003.0004

Chapter 3 focuses on the high-Reynolds number flow of an incompressible fluid near the trailing edge of a flat plate. It begins with Goldstein’s (1930) solution for a viscous wake behind the plate, and shows that the displacement effect of the wake produces a singular pressure gradient near the trailing edge. It further shows that this singularity leads to a formation triple-deck viscous-inviscid interaction region that occupies a small vicinity of the trailing edge. A detailed analysis of the flow in each tier of the triple-deck structure is conducted based on the asymptotic analysis of the Navier–Stokes equations. As a result, the so-called ‘interaction problem’ is formulated. It concludes with the numerical solution of so-called ‘interaction problem’.

Keywords:   Goldstein’s wake, Messiter–Stewartson trailing edge theory, interaction problem, Navier–Stokes equations, high-Reynolds number flow, viscous-inviscid interaction region

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