Stationary heat propagation along the radius of a hollow ball under boundary conditions of the third kind (convection)
Verification of the LIRA-FEM software / Stationary heat propagation along the radius of a hollow ball under boundary conditions of the third kind (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=0.392м
Material Characteristics:
Thermal conductivity coefficient: λ=40 Вт/м ° C
Boundary conditions:
The inner radius of the sphere:
convective heat transfer coefficient hi=150,0 Вт/м2 ° C,
set temperature on the convection elements =500°С.
The outer radius of the sphere:
convective heat transfer coefficient he=133,5 Вт/м2 ° C,
set temperature on the convection elements =20°С.
The calculation method used to obtain the reference solution:
где, ϕ – heat flux (1Вт = 1 Дж/c);
φ – heat flux density (Вт/м2 = 1 Дж/(c· м2).
CALCULATION RESULTS:
|
R(м) |
The desired value |
Analytical solution |
Результаты расчета (ЛИРА-САПР) |
-Calculation results (LIRA-SAPR)% |
|
0.30 |
Тi (0С) |
250.28 |
249.6 |
0.27 |
|
0.392 |
Тe (0С) |
184.34 |
184.9 |
0.30 |
|
[0.30÷0.392] |
ϕ (W)* |
42364.87 |
41731.62 |
1.49 |
Preview image: Array
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