On the absolute instability of the attachment-line and swept-Hiemenz boundary layers
type: Item
instance of: scholarly article
title: On the absolute instability of the attachment-line and swept-Hiemenz boundary layers
zbMATH Open document ID: 0965.76024
published in: Theoretical and Computational Fluid Dynamics
publication date: 2001-07-25T00:00:00Z
review text: The authors investigate the absolute instability of swept-Hiemenz and attachement-line boundary-layer flows. The linearized stability equations are obtained, and the eigenvalues of dispersion relation are found by solving the full stability equations in Fourier transform space using a spectral method. No quasi-parallel approximation has been made, and all the terms appearing in the stability equations have been retained. For the swept-Hiemenz boundary layer the authors show that this flow becomes absolutely unstable. It is found that the retention of all the terms in the full equations leads to the flow characteristics which are more unstable, in terms of absolute instability, than those provided by the Orr-Sommerfeld system studied earlier by other authors.
Mathematics Subject Classification ID: 76E15
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76M22
zbMATH DE Number: 1342674
zbMATH Keywords: absolute instability
zbMATH Keywords: attachement-line boundary-layer flows
zbMATH Keywords: linearlized stability equations
zbMATH Keywords: eigenvalues
zbMATH Keywords: dispersion relation
zbMATH Keywords: Fourier transform space
zbMATH Keywords: spectral method
zbMATH Keywords: swept-Hiemenz boundary layer
author: Mustafa Turkyilmazoglu
author: J. S. B. Gajjar
MaRDI profile type: Publication
full work available at URL: s001620050004
OpenAlex ID: W2078378165
DOI: 10.1007/S001620050004
description: scientific article; zbMATH DE number 1342674