Stationary heat propagation in the rod under mixed boundary conditions of the first and third kind (given temperature and convection)

Verification of the LIRA-FEM software / Stationary heat propagation in the rod 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.



Stationary heat propagation in the rod under mixed boundary conditions of the first and third kind (given temperature and convection)

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:

End point A: set temperature on convection elements =100.0 °C,

convective heat transfer coefficient hA=30.0 W/m2 ° C.

 

End point B: set temperature TB=20.0°C,

 

Calculation method used to obtain the reference solution:

 6_1.jpg

CALCULATION RESULTS:

hm)

Desired value

Analytical Solution

Calculation results (LIRA-SAPR)

Error,%

0.00

Т (0С)

73.33

73.33

0

0.01

Т (0С)

62.67

62.67

0

0.02

Т (0С)

52

52

0

0.03

Т (0С)

41.33

41.33

0

0.04

Т (0С)

30.67

30.67

0

0.05

Т (0С)

20

20

0

типы конечных элементов, заданная температура, значение температуры в узлах

Preview image: Array

FILES
Text file
Raw data files for PC LIRA-SAPR 2019:
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