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An explanation for the phase lag in supersonic jet impingement

Published online by Cambridge University Press:  14 February 2017

Joel L. Weightman Open the ORCID record for Joel L. Weightman [Opens in a new window] ,
Omid Amili ,
Damon Honnery ,
Julio Soria Open the ORCID record for Julio Soria [Opens in a new window]  and
Daniel Edgington-Mitchell
Joel L. Weightman*
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia
Omid Amili
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA
Damon Honnery
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia
Julio Soria
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia Department of Aeronautical Engineering, King Abdulaziz University, Jeddah 23218, Saudi Arabia
Daniel Edgington-Mitchell
Affiliation:
Laboratory for Turbulence Research in Aerospace and Combustion, Department of Mechanical and Aerospace Engineering, Monash University, Clayton, VIC 3800, Australia
*
†Email address for correspondence: joel.weightman@monash.edu
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Abstract

For the first time, a physical mechanism is identified to explain the phase lag term in Powell’s impinging feedback loop equation (Powell, J. Acoust. Soc. Am., vol. 83 (2), 1988, pp. 515–533). Ultra-high-speed schlieren reveals a previously unseen periodic transient shock in the wall jet region of underexpanded impinging flows. The motion of this shock appears to be responsible for the production of the acoustic waves corresponding to the impingement tone. It is suggested that the delay between the inception of the shock and the formation of the acoustic wave explains the phase lag in the aeroacoustic feedback process. This suggestion is quantitatively supported through an assessment of Powell’s feedback equation, using high-resolution particle image velocimetry and acoustic measurements.

JFM classification

Acoustics: Aeroacoustics Acoustics: Jet noise

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Rapids
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Journal of Fluid Mechanics , Volume 815 , 25 March 2017 , R1
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Copyright
© 2017 Cambridge University Press 

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Weightman et al. supplementary movie

High-speed schlieren visualisation of hemisphere impingement, illustrating the shocklet structure and sound production.

Download Weightman et al. supplementary movie(Video)
Video 8.4 MB

Weightman et al. supplementary movie

PIV transverse velocity fluctuations, phase averaged using POD. One phase cycle is illustrated.

Download Weightman et al. supplementary movie(Video)
Video 5.7 MB