Experimental and numerical investigation of edge tones
- Bamberger, Andreas
- Bänsch, Eberhard
- Siebert, Kunibert G.
2010 Mathematics Subject Classification
- Edge tones, experimental investigation, numerical methods, Navier-Stokes equations, adaptive finite elements
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.