from Technological Applications to the Flute

1
from Technological Applications to the Flute
Pulsation amplitude in the mouth
0.4
15o-labium
0.3
W
h
0.2
0.1
0
0.1
0.2
0.3
0.4
0.5
Strouhal number S
fW / U
r
0
2
from Technological Applications to the Flute
Pulsation amplitude in the mouth
maxima
h 2 mm
0.4
h 4 mm
h 6 mm
h 10 mm
0.3
h 30 mm
0.2
0.1
0
0.1
0.2
0.3
0.4
0.5
Strouhal number S
fW / U
r
0
3
from Technological Applications to the Flute
Maximum of the pulsation amplitudes
0.6
0.5
0.4
labium15
(dx /dt / U0)max
(sharp)
0.3
labium15
(chamfered)
0.2
labium60
(sharp)
0.1
labium60
0
(chamfered)
0
2
4
6
8
10
12
14
Mouth width / jet thickness (W/h)
4
from Technological Applications to the Flute
Qout(t)
Jet-drive model (Verge 1995)
Qin(t)
Qj
Qj/2
0 T 2T
t
5
from Technological Applications to the Flute
Discrete-vortex model (Holger 1977)
h0
h0
W
W
6
from Technological Applications to the Flute
0.8
0.6
Experimental data
Discrete-vortex model
0.4
Jet-drive model
0.2
0
0
5
10
15
Mouth width / jet thickness (W/h)
7
DUCT AEROACOUSTICS from Technological
Applications to the Flute
Main results ? Test of numerical code (Euler
code developed by S. Hulshoff, Flodac project)
? Analytical models for bends, cross-junction,
Helmholtz resonator ? Study of the effect of the
flute mouth geometry thesis manuscript
available on http//alexandria.tue.nl/extra2/2001
42207.pdf