Fig 1.
Physical configuration of the cylindrical waveguide.
Fig 2.
Membrane displacements and normal velocities at z = ±L.
Fig 3.
Elastic membrane conditions at z = ±L.
Table 1.
Convergence of energies when m,
m, and f = 300 Hz.
Fig 4.
Convergence of power components and transmission loss vs. truncation number N.
Fig 5.
Reflected power , transmitted power
and their sum
against frequency with different chamber conditions: (a) Rigid conditions and (b) Soft conditions, where
m,
m, and N = 31 terms.
Fig 6.
Power components and TL aginst frequency.
(a) Reflected power , transmitted power
and their sum
against frequency with different impedance chamber condition. (b) TL against frequency with rigid, soft and impedance chamber condition.
Fig 7.
Absolute value of fluid potential , for 0 < r < 0.2m, |z| < 16 when the duct is excited by single mode from
.
Fig 8.
Absolute value of normal velocity , for 0 < r < 0.2m, |z| < 16 when the duct is excited by single mode from
.
Fig 9.
For reacting liner condition and dissipating conditions:
(a) Reflected power against frequency, and (b) Transmitted power
against frequency, where
,
, and N = 31 terms.
Fig 10.
For reacting liner condition and dissipating conditions:
(a) Absorbed power (Eabs) against frequency, and (b) Transmission loss (TL) against frequency, where ,
, and N = 31 terms.
Fig 11.
For reacting condition, the absolute value of fluid potential and normal velocity with 0 < r < 0.2m and |z| < 16.
Fig 12.
Absolute value of fluid potential with 0 < r < 0.2m and |z| < 16 for dissipating conditions.
Fig 13.
Absolute value of velocity potential with 0 < r < 0.2m and |z| < 16 for dissipating conditions.
Fig 14.
Reflected and transmitted powers vs. for reacting liner condition and dissipating conditions.
Fig 15.
Absorbed power and transmission loss vs. for reacting liner condition and dissipating conditions.