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.



Stationary heat propagation in the plate (ring section) under boundary conditions of the first kind (given temperature)

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:

2_1.jpg

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

 

test10_2 - типы конечных элементов, заданная температура, значение температуры в узлах

test10_2 значение теплового потока в узлах суммарный тепловой поток.PNG

Preview image: Array

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