Biomedical Engineering Reference
In-Depth Information
Fig. 5.32
Streamlines at time instants t
D
36;37;39 ms
5.10.2
Interaction of Compressible Flow with a Model of
Elastic Vocal Folds
We consider the model of flow through a channel with two bumps which represent
time-dependent boundaries between the flow and a simplified model of vocal
folds (see Figs.
5.33
,
5.34
). The numerical experiments were carried out for the
following data: magnitude of the inlet velocity v
in
D 4 ms
1
, the viscosity
D 15 10
6
kg m
1
s
1
, the inlet fluid density
in
D 1:225 kg m
3
, the outlet
pressure p
out
D 97;611Pa, the Reynolds number Re D
in
v
in
H= D 5;227,
heat conduction coefficient k D 2:428 10
2
kg m s
2
K
1
, the specific heat
c
v
D 721:428 m
2
s
2
K
1
, the Poisson adiabatic constant D 1:4. The inlet
Mach number is M
in
D 0:012. The parameter of the computational accuracy of
the GMRES solver was 10
10
: The Young modulus and the Poisson ratio of the
structurehavethevaluesE
s
D 25;000Pa and
s
D 0:4, respectively, the structural
damping coefficient is equal to the constant C D 100s
1
and the material density
s
D 1;040 kg m
3
: The artificial Young modulus E
a
D 10;000 and the Poisson
ratio
a
D 0:45. The used time step was 8 10
6
s.
We present here the flow-induced deformations of the vocal folds model. The
character of the vocal folds vibrations can be indicated in Figs.
5.35
and
5.36
,
Search WWH ::
Custom Search