Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
1/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
Organization (S)
: EDF/IMA/MN, DELTA CAD, SAMTECH
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
Document: V4.03.302
TPLS302 - Distribution of temperature in one
thin section
Summary:
One considers a plate subjected to convection applied to the faces lower and higher and one
edge of the plate (width). The temperature is imposed on the opposite edge of the plate.
The goal of this test is to validate the thermal element of hull in conduction in the plan and convection
[R3.11.01] and [U1.01.01]. It also makes it possible to validate the elements of edge (THCOSE2, THCOSE3) in
convection.
Because of the boundary conditions and loadings considered, the distribution of temperature is uniform
along the width. The results are compared with a solution based on a graphic estimate.
two types of approach give equivalent results.
This test results from the validation independent of version 3 in thermics.
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
2/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
1
Problem of reference
1.1 Geometry
T
W
H, T
ext.
X
Z
B
Y
L
L
= 101.6 10
- 3
m
B = 25.4 10
- 3
m
D
With
C
B
1.2
Material properties
C
p
= 1. J/m
3
°C
= 25.961 W/m °C
1.3
Boundary conditions and loadings
Convection on the lower, higher face:
H = 85.169 W/m
2
°C
T
ext.
= 37.778 °C
and on the end (X = L, BC) of the plate:
h' = 2.163 W/m °C agent with H X B for this test
Temperature imposed on the with dimensions AD: T
W
= 593.333 °C
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
3/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind 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 a graphic estimate.
Uncertainty on the solution is unknown.
This reference is quoted in the manual of checking of ANSYS [bib2].
2.2
Results of reference
Temperature at the points of co-ordinates X/L = 0, 0.1, 0.2,… 0.8, 0.9, 1.
2.3 References
bibliographical
[1]
Kreith, F., “Principles off heat transfer”, International Textbook Co., Scranton, Pennsylvania,
2nd Printing, 1959.
[2]
ANSYS: “Checking manual”, 1
St
edition, June 1, 1976
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
4/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
3 Modeling
With
3.1
Characteristics of modeling
Because of symmetry of the boundary conditions and loadings, modeling is independent
width of the with dimensions AD and BC (the distribution of temperature is uniform in the direction of
width).
Modeling: HULL (QUAD8 + SEG3)
X
Z
y
D
C
B
With
Limiting conditions:
· dimensioned AD
T
W
= 593.33°C
· higher, lower face and edge BC
H = 85.169 W/m
2
°C
T
ext.
= 37.78 °C
Cutting
· Dimensioned AB, CD: 5 elements
· Dimensioned AD, BC: 1 element
3.2
Characteristics of the mesh
There are 28 nodes on the whole
5 meshs QUAD8 on the average surface of the hull
1 mesh SEG3 on the with dimensions BC
3.3 Functionalities
tested
Controls
Key word factor
Key word
Argument
Keys
AFFE_CHAR_THER
TEMP_IMPO, EXCHANGE
[U4.25.02]
AFFE_CHAR_THER_F
TEMP_IMPO, EXCHANGE
DEFI_MATERIAU
THER
RHO_CP, LAMBDA
[U4.23.01]
AFFE_MODELE
AFFE
MODELING
“HULL”
[U4.22.01]
AFFE
PHENOMENON
“THERMAL”
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
5/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
4
Results of modeling A
4.1 Values
tested
Identification
Reference
Aster
% difference
Tolerance
Localization
T (°C)
X/L = 0.0
593.333
593.333
0.000
5%
X/L = 0.1
512.778
517.947
1.008
5%
X/L = 0.2
446.111
451.206
1.142
5%
X/L = 0.3
393.333
395.840
0.638
5%
X/L = 0.4
348.889
349.657
0.220
5%
X/L = 0.5
312.778
311.722
0.338
5%
X/L = 0.6
279.444
280.993
0.554
5%
X/L = 0.7
254.444
256.673
0.876
5%
X/L = 0.8
237.778
238.124
0.146
5%
X/L = 0.9
221.111
224.853
1.693
5%
X/L = 1.0
213.333
216.515
1.492
5%
4.2 Remarks
As envisaged, the distribution of temperature is uniform according to the width. All results obtained
are in the interval of allowed tolerance which corresponds to the uncertainty supposed on the results of
the graphic estimate.
4.3 Parameters
of execution
Version: 4.01.05
Machine: CRAY C98
Overall dimension memory:
8 MW
Time CPU To use:
5.28 seconds
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
6/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
5 Modeling
B
5.1
Characteristics of modeling
Because of the boundary conditions and loadings, modeling is independent of the width
with dimensions AD and BC (the distribution of temperature is uniform along the width).
Modeling: HULL (QUAD4 + SEG2)
X
Z
y
D
C
B
With
Limiting conditions:
· dimensioned AD
T
W
=593.33°C
· higher, lower face and edge BC
H = 85.169 W/m ² °C
T
ext.
= 37.78 °C
Cutting
· Dimensioned AB, CD:
10 elements
· Dimensioned AD, BC: 1 element
5.2
Characteristics of the mesh
One A 22 nodes on the whole
10 meshs QUAD4 on the average surface of the hull
1 mesh SEG2 on the with dimensions BC
5.3 Functionalities
tested
Controls
Key word factor
Key word
Argument
Keys
AFFE_CHAR_THER
TEMP_IMPO, EXCHANGE
[U4.25.02]
AFFE_CHAR_THER_F
TEMP_IMPO, EXCHANGE
DEFI_MATERIAU
THER
RHO_CP, LAMBDA
[U4.23.01]
AFFE_MODELE
AFFE
MODELING
“HULL”
[U4.22.01]
AFFE
PHENOMENON
“THERMAL”
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
7/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
6
Results of modeling B
6.1 Values
tested
Identification
Reference
Aster
% difference
Tolerance
Localization
T (°C)
X/L = 0.0
593.333
593.333
0.000
5%
X/L = 0.1
512.778
518.146
1.047
5%
X/L = 0.2
446.111
451.267
1.156
5%
X/L = 0.3
393.333
395.633
0.585
5%
X/L = 0.4
348.889
349.428
0.155
5%
X/L = 0.5
312.778
311.457
0.422
5%
X/L = 0.6
279.444
280.715
0.455
5%
X/L = 0.7
254.444
256.390
0.765
5%
X/L = 0.8
237.778
237.839
+0.026
5%
X/L = 0.9
221.111
224.574
1.566
5%
X/L = 1.0
213.333
216.242
1.364
5%
6.2 Remarks
As envisaged, the distribution of temperature is uniform according to the width. All results obtained
are in the interval of allowed tolerance which corresponds to the uncertainty supposed on the results of
the graphic estimate.
6.3 Parameters
of execution
Version: 4.01.05
Machine: CRAY C98
Overall dimension memory:
8 MW
Time CPU To use:
5.19 seconds
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
8/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
7 Modeling
C
Modeling: HULL (QUAD9 + SEG3)
X
Z
y
D
C
B
With
Limiting conditions:
- dimensioned AD
T
W
=593.33°C
- higher, lower face and edge BC
H = 85.169 W/m ² °C
T
ext.
= 37.78 °C
Cutting
- Dimensioned AB, CD:
5 elements
- Dimensioned AD, BC:
1 element
7.1
Characteristics of modeling
Because of the boundary conditions and loadings, modeling is independent of the width
with dimensions AD and BC (the distribution of temperature is uniform along the largeu).
7.2
Characteristics of the mesh
There are 33 nodes on the whole
5 meshs QUAD9 on the average surface of the hull
1 meshs SEG3 on the with dimensions BC
7.3 Functionalities
tested
Controls
Key word factor
Key word
Argument
Keys
AFFE_CHAR_THER
TEMP_IMPO, EXCHANGE
[U4.25.02]
AFFE_CHAR_THER_F
TEMP_IMPO, EXCHANGE
DEFI_MATERIAU
THER
RHO_CP, LAMBDA
[U4.23.01]
AFFE_MODELE
AFFE
MODELING
“HULL”
[U4.22.01]
AFFE
PHENOMENON
“THERMAL”
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
9/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
8
Results of modeling C
8.1 Values
tested
Identification
Reference
Aster
% difference
tolerance
Localization
T (°C)
X/L = 0.0
593.333
593.333
0.000
5%
X/L = 0.1
512.778
517.947
1.008
5%
X/L = 0.2
446.111
451.207
1.142
5%
X/L = 0.3
393.333
395.841
0.638
5%
X/L = 0.4
348.889
349.658
0.220
5%
X/L = 0.5
312.778
311.722
- 0.338
5%
X/L = 0.6
279.444
280.993
0.554
5%
X/L = 0.7
254.444
256.673
0.876
5%
X/L = 0.8
237.778
238.125
0.146
5%
X/L = 0.9
221.111
224.854
1.693
5%
X/L = 1.0
213.333
216.516
1.492
5%
8.2 Remarks
As envisaged, the distribution of temperature is uniform according to the width. All results obtained
are clearly in the interval of allowed tolerance.
8.3 Parameters
of execution
Version: 4.01.12
Machine: CRAY C90
Overall dimension memory:
8 MW
Time CPU To use:
5.436 seconds
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
10/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
9 Modeling
D
Modeling: HULL (TRIA7 + SEG3)
X
Z
y
D
C
B
With
Limiting conditions:
- dimensioned AD
T
W
=593.33°C
- higher, lower face and edge BC
H = 85.169 W/m ² °C
T
ext.
= 37.78 °C
Cutting
- Dimensioned AB, CD:
10 elements
- Dimensioned AD, BC:
1 element
9.1
Characteristics of modeling
Because of the boundary conditions and loadings, modeling is independent of the width
with dimensions AD and BC (the distribution of temperature is uniform along the largeu).
9.2
Characteristics of the mesh
There are 43 nodes on the whole
10 meshs TRIA7 on the average surface of the hull
1 meshs SEG3 on the with dimensions BC
9.3 Functionalities
tested
Controls
Key word factor
Key word
Argument
Keys
AFFE_CHAR_THER
TEMP_IMPO, EXCHANGE
[U4.25.02]
AFFE_CHAR_THER_F
TEMP_IMPO, EXCHANGE
DEFI_MATERIAU
THER
RHO_CP, LAMBDA
[U4.23.01]
AFFE_MODELE
AFFE
MODELING
“HULL”
[U4.22.01]
AFFE
PHENOMENON
“THERMAL”
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
11/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
10
Results of modeling D
10.1 Values
tested
Identification
Reference
Aster
% difference
tolerance
Localization
T (°C)
X/L = 0.0
593.333
593.333
0.000
5%
X/L = 0.1
512.778
517.863
0.992
5%
X/L = 0.2
446.111
451.193
1.139
5%
X/L = 0.3
393.333
395.862
0.643
5%
X/L = 0.4
348.889
349.635
0.214
5%
X/L = 0.5
312.778
311.737
- 0.333
5%
X/L = 0.6
279.444
280.981
0.550
5%
X/L = 0.7
254.444
256.683
0.880
5%
X/L = 0.8
237.778
238.122
0.145
5%
X/L = 0.9
221.111
224.857
1.694
5%
X/L = 1.0
213.333
216.526
1.497
5%
10.2 Remarks
As envisaged, the distribution of temperature is uniform according to the width. All results obtained
are clearly in the interval of allowed tolerance.
10.3 Parameters
of execution
Version: 4.01.12
Machine: CRAY C90
Overall dimension memory:
8 MW
Time CPU To use:
5.304condes
Code_Aster
®
Version
4.0
Titrate:
TPLS302 Distribution of temperature in a thin section
Date:
01/12/98
Author (S)
:
P. MASSIN, F. LEBOUVIER, A. LAULUSA
Key:
V4.03.302-A
Page:
12/12
Manual of Validation
V4.03 booklet: Stationary thermics of the plates and the hulls
HI-75/98/040 - Ind A
11
Summary of the results
Results obtained for two modelings (QUAD8 + SEG3 or QUAD + SEG2) in
the interval of allowed tolerance (< 2% for a tolerance of 5%) which corresponds to uncertainty on
results of the graphic estimate of reference.
The data of the test could retain a tolerance of 2%.