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
Key
:
V4.04.304-A
Page:
1/6
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
Organization (S):
EDF/AMA, EDF/UTO/LOCATED, Delta CAD
Manual 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.
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
Key
:
V4.04.304-A
Page:
2/6
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
1
Problem of reference
1.1 Geometry
Y
X
T
W
Z
L
H, T
has
B
B
L = 203.2 x10
- 3
m
B = 25.4 x10
- 3
m
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 T
W
= 37.78 °C,
·
= 0 on the face y = L,
·
convection on the others faces:
-
H = 5.678 W/m
2
°C,
- T
has
=
-
17.78 0°C.
1.4 Conditions
initial
Without object.
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
Key
:
V4.04.304-A
Page:
3/6
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
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 manual 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”, 1
St
edition, June 1, 1976
[2]
Kreith, F., “Principles off heat transfer”, International Textbook Co., Scranton, Pennsylvania,
2nd Printing, 1959.
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
Key
:
V4.04.304-A
Page:
4/6
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
3 Modeling
With
3.1
Characteristics of modeling
3D (HEXA27)
Limiting conditions:
- face AEHD
T = 37.78°C
- face BFGC
= 0
- faces ABCD, ABFE,
H = 5.678 W/m ˛ °C
EFGH, DCGH
T
ext.
= - 17.78 °C
X
y
Z
With
D
C
B
G
F
E
H
N102 N104 N103
N100
N108
N101
N97
N99
N98
Face BFGC:
3.2
Characteristics of the mesh
A number of nodes:
153
A number of meshs and types: 8 HEXA27 (and 32 QUAD9)
3.3 Functionalities
tested
Controls
AFFE_MODELE
THERMICS
3D
ALL
AFFE_CHAR_THER
TEMP_IMPO
EXCHANGE
THER_LINEAIRE
EXCIT
CHARGE
RECU_CHAMP
NUME_ORDRE
3.4 Remarks
Voluminal heat
C
p
does not intervene in this test, but must be declared for Code_Aster. One
takes
C
p
= 1.0 J/m
3
°C.
The limiting condition
= 0. are implicit on the free edges.
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
Key
:
V4.04.304-A
Page:
5/6
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
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 modelized physical phenomenon.
4.3 Parameters
of execution
Version: 5.03
Machine: SGI - ORIGIN 2000 - R12000
Overall dimension memory:
8 megawords
Time CPU To use: 2.09 seconds
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
Key
:
V4.04.304-A
Page:
6/6
Manual of Validation
V4.04 booklet: Stationary thermics of the voluminal structures
HT-66/02/001/A
5
Summary of the results
The results obtained are very satisfactory, the maximum change is of
-
0.166%. Main interest of it
test is to check mesh HEXA27.