Excitation of Acoustic Modes by Tone Harmonics of a Hole in a Jet-Driven Helmholtz Oscillator

• Published in: Acoustical physics 2023-08, Vol.69 (4), p.471-477
• Main Authors: Abdrashitov, A. A., Marfin, E. A.
• Format: Article
• Language: English
• Subjects: Acoustic resonance; Acoustics; Air jets; Amplitudes; Cylindrical chambers; Excitation; Fluid flow; Frequency spectrum; Harmonics; Helmholtz resonators; Oscillators; Physical Acoustics; Physics; Physics and Astronomy; Reynolds number; Turbulent flow; Velocity
• ISSN: 1063-7710; 1562-6865
• DOI: 10.1134/S1063771023600559

Periodic pressure fluctuations were studied experimentally in the model of a jet-driven Helmholtz oscillator with a cylindrical chamber with a round air jet impinging on the sharp edge of the outlet. The evolution of the amplitude–frequency spectrum of the hole tone from its appearance at a jet velocity of about 2 m/s to excitation of the first acoustic resonance mode at the Helmholtz frequency was studied. The hole tone was a family of harmonics that progressively became more complex as the length and velocity of the jet increased. The successive occurrence of a family of acoustic modes on the harmonics of the jet tone with a further increase in jet velocity is studied. Modes at the Helmholtz frequency arose alternately on the harmonics of the hole tone in the gain band of the oscillator, starting from the highest harmonic. The first mode occurred at the highest harmonic; the second mode, at the previous harmonic; and so on. The final mode arose at the fundamental harmonic of the hole tone and had the maximum amplitude. With a further increase in the Reynolds number, periodic pressure fluctuations became disordered turbulent fluctuations. With a sufficient chamber size and jet velocity, azimuthal and half-wave resonances appeared at the highest harmonic of the hole tone. The largest Reynolds number at which resonance at the Helmholtz frequency was observed was 10 5 .