Comparison of Lam-Rott and Brown-Stewartson eigensolutions of the boundary-layer equations

Hammerton, PW (1999) Comparison of Lam-Rott and Brown-Stewartson eigensolutions of the boundary-layer equations. Quarterly Journal of Mechanics and Applied Mathematics, 52 (3). pp. 373-385. ISSN 0033-5614

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Abstract

In studies of the boundary layer on a flat plate, two very different sets of asymptotic eigenfunctions of the linearized unsteady boundary-layer equation have been analysed. One set, usually known as Lam-Rott eigenfunctions, decay exponentially with a shortening wavelength, while the other set, known as Brown-Stewartson modes, decay more slowly. Lam-Rott eigenfunctions have been extensively studied, and the presence of these eigenfunctions in the boundary-layer solution is important when studying the receptivity of the boundary layer to free-stream disturbances. In contrast, the Brown-Stewartson modes have been largely ignored. In this paper the two sets of eigensolutions are compared, and the presence of both Lam-Rott and Brown-Stewartson modes in numerical solutions of the boundary-layer equation is demonstrated.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Related URLs:
Depositing User: Vishal Gautam
Date Deposited: 12 Sep 2011 09:20
Last Modified: 24 Jul 2019 17:56
URI: https://ueaeprints.uea.ac.uk/id/eprint/26742
DOI: 10.1093/qjmam/52.3.373

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