Stationary heat propagation in the plate (ring section) under boundary conditions of the first kind (given temperature)
Verification of the LIRA-FEM software / Stationary heat propagation in the plate (ring section) 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:
Inner radius: Ri=0.3m
Outer radius: Re=0.35m
Length: l=1m
Material characteristics:
Thermal conductivity coefficient: λ=1W/m0C
Boundary conditions:
- Cylinder inner radius: set temperature Ti=100°C.
- Outer radius of the cylinder: set temperature Te=20.0°C.
Calculation method used to obtain the reference solution:
where, ϕ – heat flux (1W = 1 J/s);
φ is the heat flux density (W/m2 = 1 J/(s m2).
CALCULATION RESULTS:
r(м) |
The desired value |
Analytical solution |
Calculation results (LIRA-SAPR) |
Accuracy,% |
0.30 |
Т (0С) |
100 |
100 |
0 |
0.31 |
Т (0С) |
82.98 |
82.98 |
0 |
0.32 |
Т (0С) |
66.51 |
66.51 |
0 |
0.33 |
Т (0С) |
50.54 |
50.54 |
0 |
0.34 |
Т (0С) |
35.04 |
35.04 |
0 |
0.35 |
Т (0С) |
20.00 |
20 |
0 |
[0.3÷0.35] | 3260.8 | 3261.63 | 0.025 |
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