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Tollmien-Schlichting wave amplitudes on a semi-infinite flat plate and a parabolic body: comparison of a parabolized stability equation method and direct numerical simulations

Turner, MR (2012) Tollmien-Schlichting wave amplitudes on a semi-infinite flat plate and a parabolic body: comparison of a parabolized stability equation method and direct numerical simulations Quarterly Journal of Mechanics & Applied Maths, 65 (2). 183 - 210. ISSN 0033-5614

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Abstract

In this paper, the interaction of free-stream acoustic waves with the leading edge of an aerodynamic body is investigated and two different methods for analysing this interaction are considered. Results are compared for a method which incorporates Orr–Sommerfeld calculations using the parabolized stability equation to those of direct numerical simulations. By comparing the streamwise amplitude of the Tollmien–Schlichting wave, it is found that non-modal components of the boundary layer response to an acoustic wave can persist some distance downstream of the lower branch. The effect of nose curvature on the persisting non-modal eigenmodes is also considered, with a larger nose radius allowing the non-modal eigenmodes to persist farther downstream.

Item Type: Article
Additional Information: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Quarterly Journal of Mechanics & Applied Maths following peer review. The definitive publisher-authenticated version Q J Mechanics Appl Math 2012 65: 183-210 is available online at the Quarterly Journal of Mechanics & Applied Maths website.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Symplectic Elements
Date Deposited: 20 Jun 2012 13:27
Last Modified: 23 Sep 2013 18:51
URI: http://epubs.surrey.ac.uk/id/eprint/7775

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