1. Reference problem#

1.1. Geometry#

_images/10000000000004560000017749F3A2EF98E3C48C.png

The system represented in the diagram above is composed of two coaxial cylinders and a fluid flowing at the speed u in the annular space between the two cylinders. The dimensions are:

  • inner radius: \({R}_{i}=1m\);

  • outer radius: \({R}_{e}=1.05m\);

  • length: \(L=100m\).

1.2. Material properties#

Structure:

Young’s modulus: \(E\mathrm{=}{2.10}^{11}\mathit{Pa}\);

Poisson’s ratio: \(\nu =0.3\);

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

Fluid:

density: \(\rho =1000\mathrm{kg}/{m}^{3}\).

1.3. Boundary conditions and loads#

Structure:

blocking the nodes of the inner cylinder;

ball joint at points \(A\) and \(B\) of the external cylinder.

Fluid:

different speeds are imposed at the entrance to the fluid domain with normal heat fluxes equal to \(4m/s\), \(0.5m/s\), \(1.5m/s\), \(2m/s\), \(2.2m/s\) and \(2.688m\mathrm{/}s\) (critical speed).

1.4. Initial conditions#

Not applicable.