Numerical study of the hole-tone feedback cycle based on an axisymmetric formulation

M. A. Langthjem, M. Nakano

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


A method for simulating the hole-tone feedback cycle (Rayleigh's bird-call), based on an axisymmetric discrete vortex method, is described. Evaluation of the sound generated by self-sustained flow oscillations is based on the Powell-Howe theory of vortex sound combined with a thin-plate boundary element theory, to account for scattering from the end plate. A model for acoustic feedback is developed. Several numerical examples are presented and discussed. These examples give an understanding of the relative strengths of contributions from monopole, dipole and quadrupole source terms. It is found that the contribution from monopole sources is largest, followed by the dipole contribution. The quadrupole contribution is quite small in comparison. The effect of acoustic feedback is carefully studied. The acoustic feedback velocity components are too small to alter the fundamental hole-tone dynamics. Still, their effect can be seen on the sound pressure frequency spectra. It is found that they do not alter the peak at the fundamental hole-tone frequency f 0, but reinforce the peaks at higher harmonics 2f0, 3f0, ⋯ , and certain combination frequency peaks.

Original languageEnglish
Article number015008
JournalFluid Dynamics Research
Issue number1
Publication statusPublished - 2010 Feb 19

ASJC Scopus subject areas

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes


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