Code_Aster ®
Version
5.0
Titrate:
TPLA04 Dégagement of power in a hollow roll

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.01.004-A Page:
1/6

Organization (S): EDF/AMA, EDF/UTO/LOCATED, Delta CAD
Handbook of Validation
V4.01 booklet: Stationary thermics of the axisymmetric structures
Document V4.01 004

TPLA04 - Dégagement of power in one
hollow roll

Summary:

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

It comprises an axisymmetric modeling 2D which tests the axisymmetric elements in thermics, them
boundary conditions in imposed temperature and the boundary conditions of the heat source type.

This test aims to validate the taking into account of the heat source by comparing the results obtained
with those provided by VPCS.

Handbook of Validation
V4.01 booklet: Stationary thermics of the axisymmetric structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
TPLA04 Dégagement of power in a hollow roll

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.01.004-A Page:
2/6

1
Problem of reference

1.1 Geometry
Z
Re
IH
Interior radius IH = 1m
External radius Re = 2 m
Length L
Q
R


1.2
Properties of material

= 1.0 W/m°C
Thermal conductivity

1.3
Boundary conditions and loadings

· Imposed temperatures:
-
Interior surface: Ti = T (R = IH) = 20°C,
-
External surface: Te = T (R = Re) = 20°C,
· Released power uniform Q = 100 W/m3.

1.4 Conditions
initial

Without object.

Handbook of Validation
V4.01 booklet: Stationary thermics of the axisymmetric structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
TPLA04 Dégagement of power in a hollow roll

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.01.004-A Page:
3/6

2
Reference solution

2.1
Method of calculation used for the reference solution

The reference solution is that given in card TPLA04/89 of guide VPCS.

· Temperature according to R:


R

ln (
)
Q
R

T (R) = T +
(R2 - R2
I
)
- (r2 - R2)
I
E
I
4


R
I
E

ln (
)

R


I


· Density flux according to R:



dT
Q (R2 - R2)

(R) = -
E
I
= -

- 2r2
Dr.
4r
R

ln (E)

R


I


The cylinder is supposed infinitely long (l>>Re)

2.2
Results of reference

Temperature and density flux for R = 1.0, 1.2 and 1.5

2.3
Uncertainty on the solution

Analytical solution.

2.4 References
bibliographical

[1]
Guide validation of the software packages of structural analysis. French company of
Mechanics, AFNOR 1990 ISBN 2-12-486611-7
Handbook of Validation
V4.01 booklet: Stationary thermics of the axisymmetric structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
TPLA04 Dégagement of power in a hollow roll

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.01.004-A Page:
4/6

3 Modeling
With

3.1
Characteristics of modeling

AXIS (QUAD9)

y (Z)
0.1 m
D
C
m20
m17 m16
m11 m10
m1
X (R)
With
E
F
B
IH = 1.m
1.2m
1.5m
Re = 2.m
Limiting conditions:
Not
R
Z
Node
With
1.0
0.0
N1
- dimensioned AD, BC T = 20 °C
D
1.0
0.1
N3
- all
Q = 100 W/M3
E
1.2
0.0
N25
- dimensioned AB, CD = 0. W/m2
F
1.5
0.0
N61
B
2.0
0.0
N121
C
2.0
0.1
N123


3.2
Characteristics of the grid

A number of nodes:
123
A number of meshs and types: 20 QUAD9

3.3 Functionalities
tested

Commands




AFFE_MODELE
THERMIQUE
AXIS
TOUT
AFFE_CHAR_THER
TEMP_IMPO
SOURCE
THER_LINEAIRE
EXCIT
CHARGE
RECU_CHAMP
NUME_ORDRE

CALC_CHAM_ELEM
FLUX_ELNO_TEMP


3.4 Remarks

Voluminal heat CP does not intervene in this test, but must obligatorily be declared. One
takes CP = 2.0 J/m3 °C.

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

Handbook of Validation
V4.01 booklet: Stationary thermics of the axisymmetric structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
TPLA04 Dégagement of power in a hollow roll

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.01.004-A Page:
5/6

4
Results of modeling A

4.1 Values
tested

Identification Reference
Aster %
difference
tolerance
Temperature (°C)









Node n1 (a: R = 1.0)
20.00
20.0000
0.000% *
1%
Node n25 (E: R = 1.2)
28.73
28.7276
- 0.008%
1%
Node n61 (F: R = 1.5)
32.62
32.6222
0.007%
1%





Density flux (W/m ˛)









Net m20 n1 (R = 1.0)
- 58.20
- 58.1592
- 0.070%
1%
Net m17 n25 (R = 1.2)
- 30.17
- 30.1412
- 0.095%
1%
Net m16 n25 (R = 1.2)
- 30.17
- 30.1434
- 0.088%
1%
Net m11 n61 (R = 1.5)
2.87
2.8791
0.316%
1%
Net m10 n61 (R = 1.5)
2.87
2.8782
0.285%
1%

4.2 Parameters
of execution

Version: 5.03


Machine: SGI - ORIGIN 2000 - R12000

Obstruction memory:
64 Mo
Time CPU To use: 1.98 seconds

Handbook of Validation
V4.01 booklet: Stationary thermics of the axisymmetric structures
HT-66/02/001/A

Code_Aster ®
Version
5.0
Titrate:
TPLA04 Dégagement of power in a hollow roll

Date:
20/09/02
Author (S):
C. DURAND, E. SCREW, F. LEBOUVIER Clé
:
V4.01.004-A Page:
6/6

5
Summary of the results

The results obtained are very satisfactory. The maximum change is of - 0.008% in temperature and of
0.316% in flow.

This test made it possible to test the taking into account of a source term within meshs QUAD9 with one
modeling AXIS (AFFE_CHAR_THER associated with key word SOURCE).

Handbook of Validation
V4.01 booklet: Stationary thermics of the axisymmetric structures
HT-66/02/001/A

Outline document