WIAS Preprint No. 681, (2001)

Experimental and numerical investigation of edge tones



Authors

  • Bamberger, Andreas
  • Bänsch, Eberhard
  • Siebert, Kunibert G.

2010 Mathematics Subject Classification

  • 65N30

Keywords

  • Edge tones, experimental investigation, numerical methods, Navier-Stokes equations, adaptive finite elements

Abstract

We study both, by experimental and numerical means the fluid dynamical phenomenon of so-called edge tones. Of particular interest is the clarification of certain scaling laws relating the frequency ƒ to geometrical quantities, namely 𝑑, the height of the jet, 𝑤, the stand-off distance and the velocity of the jet. We conclude that the Strouhal number S𝑑 is given by S𝑑 = C · (𝑑/𝑤)𝑛 with 𝑛 ≈ 1 in our case. Moreover, the constant C of the experiment agrees within 10-15% with the result of the simulation. As for the frequency dependence on the geometry and on the jet velocity there is a very good agreement of experimental and numerical results.

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