Stationary heat propagation along the radius of a hollow ball under mixed boundary conditions of the first and third kind (given temperature and convection)
Verification of the LIRA-FEM software / Stationary heat propagation along the radius of a hollow ball under mixed boundary conditions of the first and third kind (given temperature and convection) / Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité, Pan‘s, 1989.
Type of analysis: stationary thermal.
Source: Société Fançajse des Mécaniciens, Commission Validation des progiciels de calcul de Structures, groupe de travail Thermique (2D et 3D) et thermoélasticité, Pan‘s, 1989.
Geometry:
Ri=0.3м
Re=0.35м
Material characteristics:
convective heat transfer coefficient λ1=1 Вт/м ° C
Boundary conditions:
Internal radius of the sphere:
convective heat transfer coefficient hi=30,0 Вт/м2 ° C,
set temperature at the convection elements =100°С.
The outer radius of the sphere:
set temperature Te =20°С.
The calculation method used to obtain the reference solution:
CALCULATION RESULTS:
|
R(м) |
The desired value |
Analytical solution |
Calculation results (LIRA-SAPR) |
Uncertainty,% |
|
0.30 |
Т (0С) |
65.00 |
64.61 |
0.60 |
|
0.31 |
Т (0С) |
54.84 |
54.54 |
0.55 |
|
0.32 |
Т (0С) |
45.31 |
45.1 |
0.46 |
|
0.33 |
Т (0С) |
36.36 |
36.23 |
0.36 |
|
0.34 |
Т (0С) |
27.94 |
27.88 |
0.21 |
|
0.35 |
Т (0С) |
20 |
20 |
0.00 |
Preview image: Array
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