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Nonlinear effects on the receptivity of crossflow in the swept Hiemenz flow

Thomas, Christian, Hall, Philip and Davies, Christopher 2015. Nonlinear effects on the receptivity of crossflow in the swept Hiemenz flow. Journal of Fluid Mechanics 763 , pp. 433-459. 10.1017/jfm.2014.688

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Abstract

Nonlinear effects on the receptivity of cross-flow in the swept Hiemenz boundary layer are investigated. Numerical simulations are generated using a vorticity form of the Navier–Stokes equations. Steady perturbations are established using surface suction and blowing distributed along the spanwise direction as either a periodic strip or a band of small holes. The method of excitation, the size and the location of the prescribed forcing are shown to have a significant influence on the receptivity of the boundary layer. Blowing holes are found to excite perturbations with considerably larger magnitudes than those generated using a periodic suction and blowing strip. A semi-logarithmic relationship is derived that relates the initial amplitude of the linear-only disturbances with the location at which the absolute magnitude of the chordwise primary Fourier harmonic attains a stationary point or a size of approximately one-tenth of the free-stream spanwise velocity. Furthermore, the size of the physical chordwise velocity perturbation about this position can be estimated directly from the linear-only solutions. This would suggest that, for sufficiently small initial amplitudes, the onset of some nonlinear flow development properties can be predicted directly from a linear receptivity analysis.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Boundary layer receptivity; Boundary layer stability; Nonlinear instability
Additional Information: Pdf uploaded in accordance with publisher's policy at http://www.sherpa.ac.uk/romeo/issn/0022-1120/ (accessed 16/03/2015)
Publisher: Cambridge University Press
ISSN: 0022-1120
Date of First Compliant Deposit: 30 March 2016
Date of Acceptance: 24 November 2014
Last Modified: 13 Mar 2019 12:17
URI: http://orca.cf.ac.uk/id/eprint/67890

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