
Dimension (mm) |
Cell #1 |
Cell #2 |
Lch (Length of the main volume) |
80 |
20 |
a (Length of the side of the main volume) |
10 |
2.5 |
Lca (Length of the capillaries) |
100 |
25 |
Rca (Radius of the capillaries) |
2 |
0.5 |
Table 1: Main dimensions of the designed cells.
|
Value |
Unit |
Heat capacity at constant pressure Cp |
1005.42 |
J/(kg K) |
The ratio of specific heats γ |
1.4 |
|
Dynamic viscosity μ |
1.81e-5 |
Pa s |
Bulk viscosity l |
1.09e-5 |
Pa s |
Speed of sound c |
343.11 |
m/s |
Thermal conductivity κ |
2.58e-2 |
W/(m K) |
Density ρ |
1.205 |
kg/m3 |
Table 2: Physical properties of air at 293 K and 101,325 Pa
Mesh quality |
9 |
8 |
7 |
6 |
5 |
4 |
3 |
2 |
1 |
max |
9.33 |
5.66 |
3.68 |
2.83 |
1.90 |
1.50 |
1.05 |
0.651 |
0.368 |
min |
1.98 |
1.41 |
1.13 |
0.85 |
0.57 |
0.28 |
0.11 |
0.042 |
0.006 |
Table 3: Maximum (max) and minimum (min) element size in mm versus mesh quality, where the lowest value represents the finest mesh.
Figure 3: Block diagram of the experimental setup
Figure 4: Resonance frequency, Q-factor and cell #1 response in function of the mesh quality (‘1’ = Extremely fine and ‘9’ = Extremely coarse)
Figure 5: Microphones A and B responses for cell #1 in the function of the excitation frequency. Experimental data are represented by dots whereas modeling results are in solid line.
Figure 6: Cell #1 response in function of the excitation frequency. Experimental data are represented by dots whereas modeling results are in solid line.
Figure 7: Resonance frequency, Q-factor and cell #2 response in function of the mesh quality (‘1’ = Extremely fine and ‘9’ = Extremely coarse)
Figure 8: Microphones A and B responses for cell #2 in function of the excitation frequency. Experimental data are represented by dots whereas modeling results are in dashed line for PAM, in solid line for TAM-BL and in dotted line for TAM-BL with model including leaks.
Figure 9: Cell #2 response in function of the excitation frequency. Experimental data are represented by dots whereas modeling results are in dashed line for PAM, in solid line for TAM-BL and in dotted line for TAM-BL with a model including leaks.
Figures at a glance