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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)...

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.

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Type Description Title

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

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


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