This validation case belongs to fluid dynamics. The aim of this test case is to validate the following parameter on the radiative surfaces of a ring:
The simulation results obtained from SimScale were compared to the results presented in the reference\(^1\).
Based on the reference literature \(^1\), the closed ring geometry is a simplified model of the vacuum vessel of a Fusion reactor.
In the figure below the different surfaces and the nomenclature of the different areas, from A1 – A7, are shown. The geometry contains a small surface (marked in red, A5) representing the upper surface of a specific component maintained at a lower temperature.
The dimensions of the geometry are:
Tool type: OpenFoam
Analysis type: Incompressible convective heat transfer with radiation
Turbulence model: k-ω SST turbulence model
Time dependency: Steady-state
Mesh and element types: The mesh was created using the standard mesher on the SimScale platform. It has 7.9 m cells and was created in 27 minutes.
The analytical solution for the net radiative heat flux \(Q_r\) makes use of the view factor method as mentioned under reference\(^1\).
While comparing the analytical results with SimScale results, the following points were taken into account:
The table below summarizes the results with different radiation resolutions along with the analytical results:
SimScale Coarse radiation resolution
SimScale Moderate radiation resolution
SimScale Fine radiation resolution
|Relative Error (for finest resolution) [(%)]|
Last updated: September 12th, 2022
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