Stability of the flow due to a linear stretching sheet
Fluid Dynamics
2021-08-10 v1
Abstract
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 this flow is linearly stable. However, our results show that this is only true for G\"{o}rtler-type disturbances.
Keywords
Cite
@article{arxiv.2108.04043,
title = {Stability of the flow due to a linear stretching sheet},
author = {P. T. Griffiths and S. O. Stephen and M. Khan},
journal= {arXiv preprint arXiv:2108.04043},
year = {2021}
}
Comments
18 pages, 10 figures