Code_Aster ®
Version
5.0
Titrate:
TPLV304 Distribution of the temperature in a bar of square section
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.304-A Page:
1/6

Organization (S): EDF/AMA, EDF/UTO/LOCATED, Delta CAD
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
V4.04.304 document

TPLV304 - Distribution of the temperature in one
bar square section

Summary:


This test results from the validation independent of version 3 in linear stationary thermics.

It aims to validate the voluminal thermal elements under conditions of convection and of
imposed temperature.

The reference solution is based on an analytical approach.
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
TPLV304 Distribution of the temperature in a bar of square section
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.304-A Page:
2/6

1
Problem of reference

1.1 Geometry
Z
L = 203.2 x10-3 m
B = 25.4 x10-3 m
Tw
X
H, Your
B
L
B
Y


1.2
Properties of material

= 43.2675 W/m.°C
Thermal conductivity

1.3
Boundary conditions and loadings

· temperature imposed on the face y =0 Tw = 37.78 °C,
· = 0 on the face y = L,
· convection on the others faces:
-
H = 5.678 W/m2 °C,
- Your = - 17.78 0°C.

1.4 Conditions
initial

Without object.

Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
TPLV304 Distribution of the temperature in a bar of square section
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.304-A Page:
3/6

2
Reference solution

2.1
Method of calculation used for the reference solution

The original reference solution given in the book [bib1] is based on an analytical approach.
This reference is quoted in the handbook of checking of ANSYS [bib2]

2.2
Results of reference

Temperature on the face y = L

2.3
Uncertainty on the solution

Unknown factor, it was not possible to get the original reference (delivers old, more published).

2.4 References
bibliographical

[1]
ANSYS: “Checking manual”, 1st edition, June 1, 1976
[2]
Kreith, F., “Principles off heat transfer”, International Textbook Co., Scranton, Pennsylvania,
2nd Printing, 1959.
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
TPLV304 Distribution of the temperature in a bar of square section
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.304-A Page:
4/6

3 Modeling
With

3.1
Characteristics of modeling

3D (HEXA27)

Z
D
H
y
E
Face BFGC:
With
C
G
N102 N104 N103
N100
N108
N101
Limiting conditions:
B
X
F
N97
N99
N98
- face AEHD
T = 37.78°C
- face BFGC
= 0
- faces ABCD, ABFE,
H = 5.678 W/m ² °C
EFGH, DCGH
Text = - 17.78 °C


3.2
Characteristics of the grid

A number of nodes:
153
A number of meshs and types: 8 HEXA27 (and 32 QUAD9)

3.3 Functionalities
tested

Commands




AFFE_MODELE
THERMIQUE
3D
TOUT
AFFE_CHAR_THER
TEMP_IMPO

ECHANGE

THER_LINEAIRE
EXCIT
CHARGE

RECU_CHAMP
NUME_ORDRE


3.4 Remarks

Voluminal heat CP does not intervene in this test, but must be declared for Code_Aster. One
takes CP = 1.0 J/m3 °C.

The condition limits = 0. is implicit on the free edges.

Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
TPLV304 Distribution of the temperature in a bar of square section
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.304-A Page:
5/6

4
Results of modeling A

4.1 Values
tested

Identification Reference
Aster
Relative variation (%)
Absolute deviation (°C)




difference tolerance difference tolerance
Temperature
(°C)

at the end of the bar






Y
=
L
20.329










B N97
20.329
20.295
- 0.166
1%
- 0.0338
0.5
medium BF
N99
20.329
20.327
- 0.010
1%
- 0.0021
0.5
F N98
20.329
20.295
- 0.166
1%
- 0.0338
0.5
medium FG
N101
20.329
20.327
- 0.010
1%
- 0.0021
0.5
G N103
20.329
20.295
- 0.166
1%
- 0.0338
0.5
medium GC
N104
20.329
20.327
- 0.010
1%
- 0.0021
0.5
C N102
20.329
20.295
- 0.166
1%
- 0.0338
0.5
medium CB
N100
20.329
20.327
- 0.010
1%
- 0.0021
0.5
medium of the face
N108
20.329
20.359
0.146
1%
0.0297
0.5

4.2 Remarks

The small differences which remain correspond to a variation in temperature in the section
observed. What is in conformity with the modelled physical phenomenon.

4.3 Parameters
of execution

Version: 5.03


Machine: SGI - ORIGIN 2000 - R12000

Obstruction memory:
8 megawords
Time CPU To use: 2.09 seconds
Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
TPLV304 Distribution of the temperature in a bar of square section
Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.04.304-A Page:
6/6

5
Summary of the results

The results obtained are very satisfactory, the maximum change is of - 0.166%. Principal interest of it
test is to check mesh HEXA27.

Handbook of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A

Outline document