Thomas, Christian, Hall, Philip and Davies, Christopher  ORCID: https://orcid.org/0000-0002-5592-9541
2015.
Nonlinear effects on the receptivity of cross-flow 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: | 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 (CUP) |
| ISSN: | 0022-1120 |
| Date of First Compliant Deposit: | 30 March 2016 |
| Date of Acceptance: | 24 November 2014 |
| Last Modified: | 06 Jan 2024 04:53 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/67890 |
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