Effect of small surface deformations on the stability of Tollmien–Schlichting disturbances

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Title: Effect of small surface deformations on the stability of Tollmien–Schlichting disturbances
Authors: Thomas, C
Mughal, MS
Roland, H
Ashworth, R
Martinex-Cava, A
Item Type: Journal Article
Abstract: The effect of a small Gaussian shaped deformation on the development and growth of Tollmien–Schlichting disturbances on an unswept airfoil is investigated. A broad range of gap depths and widths is modeled that can be sufficient to generate localized pockets of reverse flow. Boundary-layer profiles are computed using a Navier–Stokes solver, permitting a thorough investigation of all configurations considered. The linear stability of Tollmien–Schlichting waves is then examined using parabolized stability equations and linearized Navier–Stokes formulations, with the former method giving excellent agreement with the latter for all disturbances studied, including within separated boundary layers. Tollmien–Schlichting disturbances are amplified by deeper and wider gaps, with a correlation derived by relating the increase in the N factor with the gap dimensions and freestream Reynolds number.
Issue Date: 29-Apr-2018
Date of Acceptance: 19-Feb-2018
URI: http://hdl.handle.net/10044/1/58804
DOI: https://doi.org/10.2514/1.J056821
ISSN: 0001-1452
Publisher: American Institute of Aeronautics and Astronautics
Start Page: 2157
End Page: 2165
Journal / Book Title: AIAA Journal
Volume: 56
Issue: 6
Copyright Statement: © 2018 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the ISSN 0001-1452 (print) or 1533-385X (online) to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp.
Sponsor/Funder: Engineering and Physical Sciences Research Council
Innovate UK
Funder's Grant Number: EP/I037946/1
Keywords: 0901 Aerospace Engineering
0913 Mechanical Engineering
Aerospace & Aeronautics
Publication Status: Published
Online Publication Date: 2018-04-29
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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