Stationary heat propagation along the radius of a hollow ball under mixed boundary conditions of the first and third kind (given temperature and convection)

Verification of the LIRA-FEM software / Stationary heat propagation along the radius of a hollow ball 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 along the radius of a hollow ball under mixed boundary conditions of the first and third kind (given temperature and convection)

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:

convective heat transfer coefficient λ1=1 Вт/м ° C

 

Boundary conditions:

 

Internal radius of the sphere:

convective heat transfer coefficient hi=30,0 Вт/м2 ° C,

set temperature at the convection elements =100°С.

 

The outer radius of the sphere:

set temperature Te =20°С.

 

The calculation method used to obtain the reference solution:

 10_1.png

 

CALCULATION RESULTS:

R(м)

The desired value

Analytical solution

Calculation results (LIRA-SAPR)

Uncertainty,%

0.30

Т (0С)

65.00

64.61

0.60

0.31

Т (0С)

54.84

54.54

0.55

0.32

Т (0С)

45.31

45.1

0.46

0.33

Т (0С)

36.36

36.23

0.36

0.34

Т (0С)

27.94

27.88

0.21

0.35

Т (0С)

20

20

0.00

test10_10 - типы конечных элементов заданная температура значение температуры в узлах.png

 

Preview image: Array

FILES
Text file
Raw data files for PC LIRA-SAPR 2020:
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