The aim of this test case is to validate the following functions:
Steady state heat transfer
Radiation boundary condition
Convective heat flux
The simulation results of SimScale were compared to the results presented in [TPNV01]. The meshes used in (A) and (B) were created locally and uploaded to SimScale platform whereas, meshes used in (C) and (D) were created with the automatic-tetrahedralization-tool on the SimScale platform.
Only a portion of a hollow sphere with an internal and external radius of 0.3 and 0.392 meters was used for the analysis, as shown in the picture above. Face ABCD is the external face and face EFGH is the internal face.
Analysis type and Domain
Tool Type : Calculix
Analysis Type : Steady-state heat transfer
Mesh and Element types :
Number of nodes
Number of 3D elements
= 1 kg/m³, κ
= 40 W/(m K), Specific heat c
= 1 J/(kg K)
Initial Temperature Tinitial
= 293.15 K
Convective heat flux on face ABCD with a temperature Touter
= 293.15 K and a convection coefficient h
= 133.5 W/(m² K)
Radiation boundary condition on face EFGH with a temperature Tinner
= 773.15 K and an emissivity ϵ
Comparison of average temperature on internal edge (EH) and external edge (AD) obtained with SimScale with the results presented in Case A of [TPNV01]. The Error was calculated with respect to [VPCS].
Comparison of average temperature on internal edge (EH) and external edge (AD)¶