Tables at a glance

Table 1

Table 2

Table 3

Figures at a glance

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Figure 8

Figure 9

Table 1

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.

Table 2

	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

Table 3

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 1

Figure 1: Mesh of the cell volume (on the left) and repartition of the first calculated mode (on the right) for a standard Helmholtz resonator. In this Helmholtz resonance, both signals are opposite in phase. A differential measurement aims to subtract environmental noises as the signal of interest is doubled. The intensity repartition of the laser beam is also represented in the left chamber of the cell.

FIGURE 2

Figure 2: Photograph of the compact glass cell #2 especially designed for this study.

FIGURE 3

Figure 3: Block diagram of the experimental setup

FIGURE 4

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

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

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

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

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

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.