Code_Aster ®
Version
5.0
Titrate:
TPLL101 Chauffage by Joule effect of a hollow roll
Date:
19/10/01
Author (S):
Key S. TAHERI
:
V4.02.101-B Page:
1/6
Organization (S): EDF/MTI/MN
Handbook of Validation
V4.02 booklet: Stationary thermics of the linear structures
Document: V4.02.101
TPLL101 - Chauffage by Joule effect of a cylinder
hollow
Summary:
One imposes electrical currents inside and outside a hollow roll finite length, then one
calculate the temperature established under the effect of a heat source produced by Joule effect. The solution of
reference is analytical.
The applicability is it thermal linear stationary.
The model is axisymmetric.
The test is carried out on elements QUAD8 and TRIA6.
Handbook of Validation
V4.02 booklet: Stationary thermics of the linear structures
HI-75/01/010/A
Code_Aster ®
Version
5.0
Titrate:
TPLL101 Chauffage by Joule effect of a hollow roll
Date:
19/10/01
Author (S):
Key S. TAHERI
:
V4.02.101-B Page:
2/6
1
Problem of reference
1.1 Geometry
Axisymmetric
Z
D
C
R1
R0
+ M
R
With
B
WITH B
C
D
M
R 1.
2.7182
2.7182
1.
1.8591
Z 0.
0.
0.1 0.1
0.025
1.2 Properties
of
materials
Electric characteristic: electric conductivity = 1.
1 1
m
Thermal characteristics: = 2. 102W/m°C CP = 0.
1.3
Boundary conditions and loadings
Electric calculation:
j.n = 10.
on DA
j.n =.
3 6787944 on BC
Thermal calculation
T = 0. on DA
T = 0. on BC
FLUX = 0. on AB
FLUX = 0. on CD
1.4 Conditions
initial
Stationary calculation.
Handbook of Validation
V4.02 booklet: Stationary thermics of the linear structures
HI-75/01/010/A
Code_Aster ®
Version
5.0
Titrate:
TPLL101 Chauffage by Joule effect of a hollow roll
Date:
19/10/01
Author (S):
Key S. TAHERI
:
V4.02.101-B Page:
3/6
2
Reference solution
2.1
Method of calculation used for the reference solution
· Problem elastostatic V potential electric
In volume V = 0.
j.n =.
0
on CD and AB
Boundary conditions NEUMANN j.n = 10.
on AD
j.n
=.
3 6787944 on BC
electric conductivity = 1.
j.n = V
Axisymmetric solution
1
V
R
R
= 0 V = 0
V L
R R R
og
With
The boundary conditions on AD and BC impose:
V0 = 10.
Note:
The knowledge of A is not necessary for thermal calculation.
· Thermal problem T the temperature
T = S with a voluminal source S = (V) 2
Boundary conditions: T = 0. on DA and BC .
T N = 0 on cd. and AB
Axisymmetric solution:
1
2
T
v0
R
=
Taking into account the boundary conditions
R R R
1 2
R
2
v
R
R
T (R)
1
0
=
L
L
2
og
og
0
R
1
R
2.2
Results of reference
T = 5.889313 102 (temperature at the point M).
2.3
Uncertainty on the solution
Analytical solution.
Handbook of Validation
V4.02 booklet: Stationary thermics of the linear structures
HI-75/01/010/A
Code_Aster ®
Version
5.0
Titrate:
TPLL101 Chauffage by Joule effect of a hollow roll
Date:
19/10/01
Author (S):
Key S. TAHERI
:
V4.02.101-B Page:
4/6
3 Modeling
With
3.1
Characteristics of modeling
Element THAXTR6
Not M: N200
3.2 Characteristics
grid
A number of nodes: 305
A number of elements: 120
3.3 Functionalities
tested
Commands
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELING AXIS
% calculation electric
AFFE_CHAR_THER FLUX_REP
THER_LINEAIRE
CALC_CHAM_ELEM OPTION “SOUR_ELGA_ELEC”
% calculation thermal
AFFE_CHAR_THER TEMP_IMPO
FLUX_REP
SOURCE
SOUR_CALCULEE
THER_LINEAIRE
4
Results of modeling A
4.1 Values
tested
Identification Reference
Aster %
difference
Temperature at the point Mr. N200
5.889313 102 5.891298
102
0.034
4.2 Remarks
The boundary conditions of the electric problem are all of the conditions of NEUMANN.
Nevertheless, the analytical solution is found.
4.3 Parameters
of execution
Version: 5.4.17
Machine: SGI O-2000
System:
IRIX 64
Obstruction memory:
32 Mo
Time CPU To use:
2.0 seconds
Handbook of Validation
V4.02 booklet: Stationary thermics of the linear structures
HI-75/01/010/A
Code_Aster ®
Version
5.0
Titrate:
TPLL101 Chauffage by Joule effect of a hollow roll
Date:
19/10/01
Author (S):
Key S. TAHERI
:
V4.02.101-B Page:
5/6
5 Modeling
B
5.1
Characteristics of modeling
Element THAXQU8
Not M: N186
5.2 Characteristics
grid
A number of nodes: 245
A number of elements: 60
5.3 Functionalities
tested
Commands
Key word factor
Single-ended spanner word
Argument
AFFE_MODELE
AFFE
MODELING AXIS
% calculation electric
AFFE_CHAR_THER FLUX_REP
THER_LINEAIRE
CALC_CHAM_ELEM OPTION
“SOUR_ELGA_ELEC”
% calculation thermal
AFFE_CHAR_THER TEMP_IMPO
FLUX_REP
SOURCE
SOUR_CALCULEE
THER_LINEAIRE
6
Results of modeling B
6.1 Values
tested
Identification Reference Aster %
difference
Temperature at the point Mr. N186
5.889313 102 5.892292
102
0.051
6.2 Parameters
of execution
Version: 5.4.17
Machine: SGI O-2000
System:
IRIX 64
Obstruction memory:
64 Mo
Time CPU To use:
2.00 seconds
Handbook of Validation
V4.02 booklet: Stationary thermics of the linear structures
HI-75/01/010/A
Code_Aster ®
Version
5.0
Titrate:
TPLL101 Chauffage by Joule effect of a hollow roll
Date:
19/10/01
Author (S):
Key S. TAHERI
:
V4.02.101-B Page:
6/6
7
Summary of the results
In addition to the test presented, one carried out a calculation on structure (COTHAA). The results obtained have
summer compared with those obtained using Code CASTEM 2000. One obtains results very
close relations.
Handbook of Validation
V4.02 booklet: Stationary thermics of the linear structures
HI-75/01/010/A
Outline document