1. Reference problem#

1.1. Geometry#

Circular cross section pipe:

Outside diameter: \(0.1m\)

Thickness: \(3\mathrm{mm}\)

The gravity field is not taken into account.

Young’s modulus of the pipe:	\(E=2.1E+11N\)
Pipe compressibility coefficient:	\(\nu =0.3\)
Pipe density:	\(\rho =7800\mathrm{kg}/{m}^{3}\)
Fluid density:	\({\rho }_{f}=8.3\mathrm{kg}/{m}^{3}\)
Fluid speed:	\(c=495m/s\)

Degrees of freedom \(\mathrm{dy},\mathrm{dz},\mathrm{drx},\mathrm{dry},\mathrm{drz}\) are locked for the entire pipe.

On the acoustic section, DX is also blocked and the only free degrees of freedom are \(\mathrm{PRES}\) and \(\mathrm{PHI}\).

At the end of the tank side: \(\mathrm{PRES}=0.\) \(\mathrm{PHI}=0.\)