Skip to main content
×
×
Home

An explanation for the phase lag in supersonic jet impingement

  • Joel L. Weightman (a1), Omid Amili (a1) (a2), Damon Honnery (a1), Julio Soria (a1) (a3) and Daniel Edgington-Mitchell (a1)...
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.

Copyright
Corresponding author
Email address for correspondence: joel.weightman@monash.edu
References
Hide All
Adrian R. J., Christensen K. T. & Liu Z. C. 2000 Analysis and interpretation of instantaneous turbulent velocity fields. Exp. Fluids 29 (3), 275290.
Brown G. L. & Roshko A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64 (04), 775816.
Edgington-Mitchell D., Honnery D. R. & Soria J. 2014a The underexpanded jet Mach disk and its associated shear layer. Phys. Fluids 26 (9), 96101.
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, 822847.
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, 90115.
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, 115137.
Henderson B. & Powell A. 1993 Experiments concerning tones produced by an axisymmetric choked jet impinging on flat plates. J. Sound Vib. 168 (2), 307326.
Henderson L. F. 1966 Experiments on the impingement of a supersonic jet on a flat plate. Z. Angew. Math. Phys. 17 (5), 553569.
Ho C. M. & Nosseir N. S. 1981 Dynamics of an impinging jet. Part 1. The feedback phenomenon. J. Fluid Mech. 105, 119142.
Krothapalli A., Rajkuperan E., Alvi F. & Lourenco L. 1999 Flow field and noise characteristics of a supersonic impinging jet. J. Fluid Mech. 392, 155181.
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), 112.
Meyer K. E., Pedersen J. M. & Özcan O. 2007 A turbulent jet in crossflow analysed with proper orthogonal decomposition. J. Fluid Mech. 583, 199227.
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), 333341.
Nosseir N. S. & Ho C. M. 1982 Dynamics of an impinging jet. Part 2. The noise generation. J. Fluid Mech. 116, 379391.
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, 383414.
Powell A. 1988 The sound-producing oscillations of round underexpanded jets impinging on normal plates. J. Acoust. Soc. Am. 83 (2), 515533.
Sirovich L. 1987 Turbulence and the dynamics of coherent structures. Part I: coherent structures. Q. Appl. Maths 45 (3), 561571.
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), 221233.
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.
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, 353396.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords:

Type Description Title
VIDEO
Movies

Weightman et al. supplementary movie
PIV transverse velocity fluctuations, phase averaged using POD. One phase cycle is illustrated.

 Video (5.7 MB)
5.7 MB
VIDEO
Movies

Weightman et al. supplementary movie
High-speed schlieren visualisation of hemisphere impingement, illustrating the shocklet structure and sound production.

 Video (8.4 MB)
8.4 MB

Metrics

Full text views

Total number of HTML views: 18
Total number of PDF views: 270 *
Loading metrics...

Abstract views

Total abstract views: 561 *
Loading metrics...

* Views captured on Cambridge Core between 14th February 2017 - 17th January 2018. This data will be updated every 24 hours.