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Fractals in EngineeringTurbulent κ — ε model of flute-like musical instrument sound production

Fractals in Engineering: Turbulent κ — ε model of flute-like musical instrument sound production [The sound production of flute-like musical instruments like the transvers flute is governed by the coupling between the mouth or embouchure hole in which the flute player blows and the flute tube. Here the flute tubes eigenfrequencies forces the self-sustained oscillation of the generator region at the blowing hole into the tubes resonance frequencies. This paper supposes an explanation for this behaviour. Experiments show a very small amount of energy supplied by the players blowing actually getting into the tube of about 3.5%. So most of the air flow is blown into the room outside the flute. The modelling of the flutes presented here shows a turbulent description of the process as consistent with the experimental findings. The flute tube, which forces the flow in its direction leads to a large directional change of the flow, which results in a strong turbulent viscous damping of the system. So there is strong evidence, that in the nonlinear coupled flute system of blowing and tube the tube forces the blowing system in the tubes eigenfrequencies because the tubes air column is much less damped than the generator region at the soundhole.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Fractals in EngineeringTurbulent κ — ε model of flute-like musical instrument sound production

Editors: Lévy-Véhel, Jacques; Lutton, Evelyne
Fractals in Engineering — Jan 1, 2005

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References (14)

Publisher
Springer London
Copyright
© Springer-Verlag London Limited 2005
ISBN
978-1-84628-047-4
Pages
109 –121
DOI
10.1007/1-84628-048-6_8
Publisher site
See Chapter on Publisher Site

Abstract

[The sound production of flute-like musical instruments like the transvers flute is governed by the coupling between the mouth or embouchure hole in which the flute player blows and the flute tube. Here the flute tubes eigenfrequencies forces the self-sustained oscillation of the generator region at the blowing hole into the tubes resonance frequencies. This paper supposes an explanation for this behaviour. Experiments show a very small amount of energy supplied by the players blowing actually getting into the tube of about 3.5%. So most of the air flow is blown into the room outside the flute. The modelling of the flutes presented here shows a turbulent description of the process as consistent with the experimental findings. The flute tube, which forces the flow in its direction leads to a large directional change of the flow, which results in a strong turbulent viscous damping of the system. So there is strong evidence, that in the nonlinear coupled flute system of blowing and tube the tube forces the blowing system in the tubes eigenfrequencies because the tubes air column is much less damped than the generator region at the soundhole.]

Published: Jan 1, 2005

Keywords: Acoustical Society; Turbulent Energy; Turbulent Viscosity; Sound Production; Small Eddy

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