Stationary heat propagation along the radius of a hollow ball under boundary conditions of the first kind (given temperature)
Verification of the LIRA-FEM software / Stationary heat propagation along the radius of a hollow ball under boundary conditions of the first kind (given temperature) / 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:
Thermal conductivity coefficient: λ1=1 Вт/м ° C
Boundary conditions:
Inner radius сферы:
set temperature Ti =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) |
100.00 |
100.00 |
0 |
|
0.31 |
Т (0С) |
81.94 |
81.94 |
0 |
|
0.32 |
Т (0С) |
65.00 |
65.01 |
0.015 |
|
0.33 |
Т (0С) |
49.09 |
49.10 |
0.02 |
|
0.34 |
Т (0С) |
34.12 |
34.12 |
0 |
|
0.35 |
Т (0С) |
20.00 |
20.00 |
0 |
Preview image: Array
Verification examples
- Section 1 Linear static problems for rod systems, plates and shells, three-dimensional problems
- Section 2 Physically nonlinear problems
- Section 3 Geometrically nonlinear problems for threads, cable-stayed trusses, rods, membranes and plates
- Section 4 Задачи устойчивости, в основном изгибно-крутильные формы потери устойчивости
- Section 5 Modal analysis
- Section 6 Linear dynamic problems
- Section 7 Static and dynamic problems with one-sided constraints
- Section 8 Geometric characteristics of the section
- Section 9 Procritical calculations
- Section 10 Problems of stationary and non-stationary heat conduction
Comments