Stationary heat propagation in the rod under boundary conditions of the first kind (given temperature)
Verification of the LIRA-FEM software / Stationary heat propagation in the rod 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.
Analytical solution: 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:
L=0.05m
Material characteristics:
Thermal conductivity coefficient:λ=0.75W/m0C
Boundary conditions:
Set temperature at ends A and B:
End point A: set temperature TA=100.0 °C,
End point B: set temperature TB=20.0°C,
Calculation method used to obtain the reference solution:
CALCULATION RESULTS:
х(м) |
The desired value |
Analytical solution |
Calculation results (LIRA-SAPR) |
Accuracy,% |
0.00 |
Т (0С) |
100.0 |
100.0 |
0 |
0.01 |
Т (0С) |
84.0 |
84.0 |
0 |
0.02 |
Т (0С) |
68.0 |
68.0 |
0 |
0.03 |
Т (0С) |
52.0 |
52.0 |
0 |
0.04 |
Т (0С) |
36.0 |
36.0 |
0 |
0.05 |
Т (0С) |
20.0 |
20.0 |
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