1. Reference problem#

1.1. Geometry#

_images/Object_1.svg

Rectangular tube:

length:

\(L={l}_{x}=1.0m\)

height:

\(h={l}_{y}=0.1m\)

width:

\(l={l}_{z}=0.2m\)

Coordinates of the points (in \(m\)):

\(A\)

\(B\)

\(C\)

\(D\)

\(x\)

1.00

1.00

\(y\)

0.05

0.05

\(z\)

0.20

0.10

0.10

0.20

0.10

1.2. Material properties#

Air:

\({\rho }_{c}=1.3\mathrm{kg.}{m}^{-3}\)

\({c}_{0}=343.{\mathrm{m.s}}^{-1}\)

1.3. Boundary conditions and loading#

Normal input speed

\(V\mathrm{=}{V}_{n}\mathrm{\times }\mathrm{exp}(i\omega t)\) with \({V}_{n}=0.014{\mathrm{m.s}}^{-1}\)

\(f=500\mathrm{Hz}\)

Impedance at the end \(\mathrm{CD}\)

\(Z={\rho }_{0}\mathrm{.}{c}_{0}=445.9{\mathrm{kg.m}}^{-2}{s}^{-1}\)