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On predicting receptivity to surface roughness in a compressible infinite swept wing boundary layer

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Title: On predicting receptivity to surface roughness in a compressible infinite swept wing boundary layer
Authors: Thomas, C
Mughal
Ashworth, R
Item Type: Journal Article
Abstract: The receptivity of crossflow disturbances on an infinite swept wing is investigated using solutions of the adjoint linearised Navier-Stokes equations. The adjoint based method for predicting the magnitude of stationary disturbances generated by randomly distributed surface roughness is described, with the analysis extended to include both surface curvature and compressible flow effects. Receptivity is predicted for a broad spectrum of spanwise wavenumbers, variable freestream Reynolds numbers, and subsonic Mach numbers. Curvature is found to play a significant role in the receptivity calculations, while compressible flow effects are only found to marginally affect the initial size of the crossflow instability. A Monte Carlo type analysis is undertaken to establish the mean amplitude and variance of crossflow disturbances generated by the randomly distributed surface roughness. Mean amplitudes are determined for a range of flow parameters that are maximised for roughness distributions containing a broad spectrum of roughness wavelengths, including those that are most effective in generating stationary crossflow disturbances. A control mechanism is then developed where the short scale roughness wavelengths are damped, leading to significant reductions in the receptivity amplitude.
Issue Date: 3-Mar-2017
Date of Acceptance: 9-Feb-2017
URI: http://hdl.handle.net/10044/1/44434
DOI: https://dx.doi.org/10.1063/1.4977092
ISSN: 1089-7666
Publisher: AIP Publishing
Journal / Book Title: Physics of Fluids
Volume: 29
Issue: 3
Copyright Statement: © 2017 AIP Publishing LLC.
Sponsor/Funder: Engineering and Physical Sciences Research Council
Innovate UK
Engineering and Physical Sciences Research Council
Funder's Grant Number: EP/I037946/1
113022
EP/I037946/1
Keywords: Science & Technology
Technology
Physical Sciences
Mechanics
Physics, Fluids & Plasmas
Physics
CROSS-FLOW VORTICES
TURBULENT FLOWS
LEADING-EDGE
TRANSITION
OPTIMIZATION
MECHANISMS
STABILITY
Fluids & Plasmas
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Publication Status: Published
Article Number: 034102
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences



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