An asymptotic solution for transpired incompressible turbulent boundary layers
type: Item
instance of: scholarly article
title: An asymptotic solution for transpired incompressible turbulent boundary layers
zbMATH Open document ID: 0665.76051
DOI: 10.1016/0017-9310(88)90090-7
published in: International Journal of Heat and Mass Transfer
publication date: 1988-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/11422/9065
review text: In this work perturbation techniques are used to study the equations of mean motion for transpired incompressible turbulent boundary layers. One of the features of this approach is the use of multiple scales. Indeed, the solution of this problem requires the use of three distinct scales associated with the three flow regions: the inviscid region, the defect layer and the wall layer. In the construction of the wall and defect solutions, a new law of the wake is determined by comparison of these two solutions in an interval of common domain of validity. The matching conditions also yield a skin-friction equation for transpired turbulent boundary layers. The velocity profiles obtained from the law of the wake expression, and the values of the skin-friction coefficient predicted by the skin-friction equation for flows with both injection and suction of fluid, are compared with experimental data showing good agreement.
Mathematics Subject Classification ID: 76F99
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76D25
zbMATH DE Number: 4089150
zbMATH Keywords: perturbation techniques
zbMATH Keywords: equations of mean motion
zbMATH Keywords: transpired incompressible turbulent boundary layers
zbMATH Keywords: inviscid region
zbMATH Keywords: defect layer
zbMATH Keywords: wall layer
zbMATH Keywords: law of the wake
author: Atila P. Silva Freire
MaRDI profile type: Publication
OpenAlex ID: W2026593124
description: scientific article; zbMATH DE number 4089150