Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-04-30T15:30:27.771Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 815 , 25 March 2017 , R1
Check for updates
Copyright
© 2017 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adrian, R. J., Christensen, K. T. & Liu, Z. C. 2000 Analysis and interpretation of instantaneous turbulent velocity fields. Exp. Fluids 29 (3), 275–290.CrossRefGoogle Scholar
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64 (04), 775–816.CrossRefGoogle Scholar
Edgington-Mitchell, D., Honnery, D. R. & Soria, J. 2014a The underexpanded jet Mach disk and its associated shear layer. Phys. Fluids 26 (9), 96–101.CrossRefGoogle Scholar
Edgington-Mitchell, D., Oberleithner, K., Honnery, D. R. & Soria, J. 2014b Coherent structure and sound production in the helical mode of a screeching axisymmetric jet. J. Fluid Mech. 748, 822–847.CrossRefGoogle Scholar
Gojon, R., Bogey, C. & Marsden, O. 2016 Investigation of tone generation in ideally expanded supersonic planar impinging jets using large-eddy simulation. J. Fluid Mech. 808, 90–115.Google Scholar
Henderson, B., Bridges, J. & Wernet, M. 2005 An experimental study of the oscillatory flow structure of tone-producing supersonic impinging jets. J. Fluid Mech. 542, 115–137.Google Scholar
Henderson, B. & Powell, A. 1993 Experiments concerning tones produced by an axisymmetric choked jet impinging on flat plates. J. Sound Vib. 168 (2), 307–326.Google Scholar
Henderson, L. F. 1966 Experiments on the impingement of a supersonic jet on a flat plate. Z. Angew. Math. Phys. 17 (5), 553–569.Google Scholar
Ho, C. M. & Nosseir, N. S. 1981 Dynamics of an impinging jet. Part 1. The feedback phenomenon. J. Fluid Mech. 105, 119–142.Google Scholar
Krothapalli, A., Rajkuperan, E., Alvi, F. & Lourenco, L. 1999 Flow field and noise characteristics of a supersonic impinging jet. J. Fluid Mech. 392, 155–181.Google Scholar
Mason-Smith, N., Edgington-Mitchell, D., Buchmann, N. A., Honnery, D. R. & Soria, J. 2015 Shock structures and instabilities formed in an underexpanded jet impinging on to cylindrical sections. Shock Waves 25 (6), 1–12.CrossRefGoogle Scholar
Meyer, K. E., Pedersen, J. M. & Özcan, O. 2007 A turbulent jet in crossflow analysed with proper orthogonal decomposition. J. Fluid Mech. 583, 199–227.CrossRefGoogle Scholar
Mitchell, D. M., Honnery, D. R. & Soria, J. 2012 The visualization of the acoustic feedback loop in impinging underexpanded supersonic jet flows using ultra-high frame rate schlieren. J. Vis. 15 (4), 333–341.Google Scholar
Nosseir, N. S. & Ho, C. M. 1982 Dynamics of an impinging jet. Part 2. The noise generation. J. Fluid Mech. 116, 379–391.CrossRefGoogle Scholar
Oberleithner, K., Sieber, M., Nayeri, C. N., Paschereit, C. O., Petz, C., Hege, H. C., Noack, B. R. & Wygnanski, I. 2011 Three-dimensional coherent structures in a swirling jet undergoing vortex breakdown: stability analysis and empirical mode construction. J. Fluid Mech. 679, 383–414.CrossRefGoogle Scholar
Powell, A. 1988 The sound-producing oscillations of round underexpanded jets impinging on normal plates. J. Acoust. Soc. Am. 83 (2), 515–533.Google Scholar
Sirovich, L. 1987 Turbulence and the dynamics of coherent structures. Part I: coherent structures. Q. Appl. Maths 45 (3), 561–571.Google Scholar
Soria, J. 1996 An investigation of the near wake of a circular cylinder using a video-based digital cross-correlation particle image velocimetry technique. Exp. Therm. Fluid Sci. 12 (2), 221–233.Google Scholar
Weightman, J. L., Amili, O., Honnery, D., Soria, J. & Edgington-Mitchell, D.2016 Supersonic jet impingement on a cylindrical surface. In 22nd AIAA/CEAS Aeroacoustics Conference. AIAA Paper 2016-2800.Google Scholar
Zhou, J., Adrian, R. J., Balachandar, S. & Kendall, T. M. 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353–396.CrossRefGoogle Scholar

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