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Nonlinear instability of viscous modes in hypersonic flow past a wedge


Seddougui, SO and Bassom, AP, Nonlinear instability of viscous modes in hypersonic flow past a wedge, Quarterly Journal of Mechanics and Applied Mathematics, 47, (4) pp. 557-582. ISSN 0033-5614 (1994) [Refereed Article]

Copyright Statement

Copyright 1994 Oxford University Press

DOI: doi:10.1093/qjmam/47.4.557


The weakly nonlinear stability of a compressible flow past a wedge with an attached shock is investigated in the hypersonic limit. Interest is focused on Tollmien-Schlichting waves governed by a triple-deck structure and it is found that the attached shock, which occurs in the uppermost tier of the triple deck, can profoundly affect the stability characteristics of the flow. It is shown that nonlinearity tends to have a stabilizing influence on the flow and the nonlinear evolution of the Tollmien-Schlichting mode is described in a number of asymptotic limits. These results are compared with those for the shock-free problem.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:108553
Year Published:1994
Web of Science® Times Cited:5
Deposited By:Mathematics and Physics
Deposited On:2016-04-22
Last Modified:2016-07-08

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