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Oscillations in cylinder wakes at Mach 4

Published online by Cambridge University Press:  23 November 2015

B. E. Schmidt Open the ORCID record for B. E. Schmidt [Opens in a new window]  and
J. E. Shepherd
B. E. Schmidt*
Affiliation:
Department of Aerospace Engineering, California Institute of Technology, Pasadena, CA 91101, USA
J. E. Shepherd
Affiliation:
Department of Aerospace Engineering, California Institute of Technology, Pasadena, CA 91101, USA
*
†Email address for correspondence: bryan.e.schmidt@gmail.com
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Abstract

The wake behind a circular cylinder in Mach 4 flow is examined experimentally in the Reynolds number range $2\times 10^{4}$ to $5\times 10^{5}$. Periodic oscillations of the sliplines in the wake are observed. The Strouhal number of the oscillations based on the diameter of the cylinder is found to increase monotonically from 0.30 to 0.50 with increasing Reynolds number. If the Strouhal number is formed using the length of the sliplines, however, it has a constant value of approximately 0.48 for all Reynolds numbers studied. This scaling indicates that the oscillations in supersonic flow are likely driven by acoustic signals propagating back and forth through the subsonic region between the separation points on the cylinder and the neck where the sliplines converge, unlike in subsonic flow where oscillations are caused by vortices shed from the cylinder surface.

JFM classification

Aerodynamics: Aerodynamics Aerodynamics: High-speed flow Wakes/Jets: Wakes
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 785 , 25 December 2015 , R3
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Copyright
© 2015 Cambridge University Press 

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References

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Schmidt supplementary movie

Pseudo-schlieren movie of the Euler computation performed in AMRITA. The cylinder is shown in blue and sonic lines are shown in white.

Download Schmidt supplementary movie(Video)
Video 27 MB

Schmidt supplementary movie

Pseudo-schlieren movie of the Euler computation performed in AMRITA. The cylinder is shown in blue and sonic lines are shown in white.

Download Schmidt supplementary movie(Video)
Video 18.8 MB

Schmidt supplementary movie

Short excerpt of a shadowgraph movie from the experiments. Images were recorded at 200 000 frames per second and are played back at 30 frames per second.

Download Schmidt supplementary movie(Video)
Video 35.5 MB

Schmidt supplementary movie

Short excerpt of a shadowgraph movie from the experiments. Images were recorded at 200 000 frames per second and are played back at 30 frames per second.

Download Schmidt supplementary movie(Video)
Video 49.1 MB