Stability of the flow due to a linear stretching sheet


In this article, we consider the linear stability of the two-dimensional flow induced by the linear stretching of a surface in the streamwise direction. The basic flow is a rare example of an exact analytical solution of the Navier–Stokes equations. Using results from a large Reynolds number asymptotic study and a highly accurate spectral numerical method, we show that this flow is linearly unstable to disturbances in the form of Tollmien–Schlichting waves. Previous studies have shown that this flow is linearly stable. However, our results show that this is only true for Görtler-type disturbances.

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Divisions: College of Engineering & Physical Sciences
Additional Information: © 2021 Author(s). This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Griffiths, P, Stephen, S & Khan, M 2021, 'Stability of the flow due to a linear stretching sheet', Physics of Fluids, vol. 33, 084106 and may be found at
Publication ISSN: 1089-7666
Last Modified: 29 May 2024 17:06
Date Deposited: 28 Sep 2022 11:15
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Related URLs: https://aip.sci ... .1063/5.0060645 (Publisher URL)
PURE Output Type: Article
Published Date: 2021-08-31
Published Online Date: 2021-08-06
Accepted Date: 2021-07-20
Authors: Griffiths, Paul (ORCID Profile 0000-0002-2078-0118)
Stephen, Sharon
Khan, Mair



Version: Accepted Version

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