1. Reference problem#

1.1. Geometry#

_images/100017D400002CDB000017FAC289F932EB18ED55.svg

Length:

\(L=4m\)

width:

\(l=2m\)

height:

\(h=2m\)

Shell thickness:

\(e={10}^{-3}m\)

Radius of the spheres:

\(R=0.5m\)

1.2. Material properties#

Structure: steel - elastic material

\(E={2.10}^{11}\mathrm{Pa}\)

\(\nu =0.3\)

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

The springs have the following stiffness:

\(\mathrm{K1}={10}^{6}N/m\)

\(\mathrm{K2}={10}^{5}N/m\)

\(\mathrm{K3}={10}^{7}N/m\)

Fluid: water - equivalent thermal material

\(\lambda =1.\)

the specific heat plays the role of the density of the fluid: \({\rho }_{f}=1000\mathrm{kg}/{m}^{3}\)

1.3. Boundary conditions and loads#

On the structure side: the degrees of freedom of rotation \(\mathrm{DRX}\), \(\mathrm{DRY}\), \(\mathrm{DRZ}\) of sphere 1 are blocked:

On the fluid side: zero pressure (i.e. temperature) is imposed on a node of the fluid mesh.