Natural convection in a rectangular region with radiation
Case directory
$FOAM_TUTORIALS/heatTransfer/buoyantSimpleFoam/hotRadiationRoom
Summary
We calculate the steady flow around a heating body (region "box") with a temperature of 500 K placed in a rectangular region. The bottom (region "floor") and the top (region "ceilling") are assumed to have a temperature of 300 K. The sides (region "fixedWalls") are assumed to be thermally opened to allow heat to escape. And no fluid flow into or out of the analysis domain.
Model geometry
We consider radiation's effect in the analysis. The radiation settings is specified in the file constant/radiationProperties as follows.
radiation on;
radiationModel P1;
solverFreq 1;
absorptionEmissionModel constantAbsorptionEmission;
constantAbsorptionEmissionCoeffs
{
absorptivity absorptivity [0 -1 0 0 0 0 0] 0.5;
emissivity emissivity [0 -1 0 0 0 0 0] 0.5;
E E [1 -1 -3 0 0 0 0] 0;
}
scatterModel none;
sootModel none;
The magnitude and direction of the gravity acceleration is specified in the file constant/g as follows, and the direction is the negative direction of the Z-axis.
dimensions [0 1 -2 0 0 0 0]; value (0 0 -9.81);
The meshes are as follows, and the number of mesh is 104000.
Meshes
Meshes (around the heating body)
The calculation result is as follows.
Temperature (T)
Flow velocity on XZ-plane (Y=1) (U)
Temperature on XZ-plane (Y=1) (T)
Flow velocity on XY-plane (Z=0.25) (U)
Temperature on XY-plane (Z=0.25) (T)
The calculation results show that upward airflow occurs around the heating body and natural convection is generated.
Commands
cd hotRadiationRoom
blockMesh
buoyantSimpleFoam
paraFoam
Calculation time
8 minutes 52.11 seconds *Single, Inter(R) Core(TM) i7-2600 CPU @ 3.40GHz 3.40GHz