Acoustic Wave Propagation in a Trifurcated Lined Waveguide

Table 1

Field intensity |Φ| versus the truncation number 𝑛 for different boundary conditions of the semi-infinite duct.

𝑛	𝑎=0.5, 𝑏=3𝑎, 𝑘=0.5, 𝑦=1, 𝜉=1.5, 𝜂=1 and 𝑥=−0.1
	|Φ| for hard boundary conditions	|Φ| for soft boundary conditions
10	1.809170	0.824323
20	1.853300	0.878547
30	1.883790	0.899716
40	1.905980	0.911027
50	1.922750	0.918070
60	1.935870	0.922877
70	1.946400	0.926369
80	1.955050	0.929019
90	1.962260	0.931100
100	1.968380	0.932777
110	1.973630	0.934157
120	1.978180	0.935313
130	1.982170	0.936295
140	1.985700	0.937140
150	1.988830	0.937874