1. Reference problem#

1.1. Geometry#

_images/10000200000002CE0000030A07113369475393B3.png _images/100002010000004C0000006024835E5C6E561CDB.png

The figure above shows the lyre in question. The pipe has a radius of 0.2 m and a thickness of 0.04 m. The radii of curvature are 0.2 m.

1.2. Material properties#

Steel :

Stiffness

\(E=190{10}^{9}\mathit{Pa}\) \(\mathrm{\nu }=0.3\)

Density

\(\mathrm{\rho }=7800\mathit{kg}/{m}^{3}\)

Water :

Celerity

\(c=970m/s\)

Density

\(\mathrm{\rho }=732\mathit{kg}/{m}^{3}\)

1.3. Boundary conditions and loads#

The pipe is embedded at both ends. Zero pressure is applied to the fluid at its 2 ends.

1.4. Initial conditions#

Not applicable.