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Nonlinear instability of viscous modes in hypersonic flow past a wedge

journal contribution
posted on 2023-05-18, 19:08 authored by Seddougui, SO, Andrew BassomAndrew Bassom
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.

History

Publication title

Quarterly Journal of Mechanics and Applied Mathematics

Volume

47

Issue

4

Pagination

557-582

ISSN

0033-5614

Department/School

School of Natural Sciences

Publisher

Oxford Univ Press

Place of publication

Great Clarendon St, Oxford, England, Ox2 6Dp

Rights statement

Copyright 1994 Oxford University Press

Repository Status

  • Restricted

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Expanding knowledge in the mathematical sciences

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