TTLP300- Heat transfer in a bar metal[...]

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Titre : TTLP300 - Transfert thermique dans une barre métal[...]
Responsable : HAELEWYN Jessica
Date : 01/02/2011 Page : 1/6
Révision
Clé : V4.23.300
:
1d4c0736b3c9
TTLP300- Heat transfer in an orthotropic metal bar
Summary:
This test is resulting from the validation independent of version 3 in linear transient thermal.
It is about a problem 2d plane represented by only one modelization (plane).
The functionalities tested are the following ones:
• thermal element plane,
• orthotropic material,
• transient thermal algorithm,
• limit condition: convection.
The interest of the test lies in the taking into account of an orthotropic material.
The results are compared with a solution based on a graphic estimate.
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Titre : TTLP300 - Transfert thermique dans une barre métal[...]
Responsable : HAELEWYN Jessica
1
Reference problem
1.1
Geometry
y a  C A B :
1d4c0736b3c9
a = 50.8 x 10­3m b = 25.4 x 10­3m a D Date : 01/02/2011 Page : 2/6
Révision
Clé : V4.23.300
b x b x, y, , c h Tf 1.2
Material properties
 x =34.614 W / m° C
 y =6.237 W /m° C
C P =37.719 J / kg.° C
=6407.38 kg /m3
1.3
x
thermal conductivity along the axis y
thermal conductivity along the axis
specific heat
density
Boundary conditions and loadings
Convection:
2
•
h=1362.71W /m ° C ,
•
1.4
T f =37.78° C .
Initial conditions
T  x , y , t=0=260 ° C
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Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html)
Version
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Code_Aster
Titre : TTLP300 - Transfert thermique dans une barre métal[...]
Responsable : HAELEWYN Jessica
Date : 01/02/2011 Page : 3/6
Révision
Clé : V4.23.300
2
Reference solution
2.1
Computation method used for the reference solution
:
1d4c0736b3c9
The original reference solution given in the book [bib1] is based on a graphic estimate. This reference
is quoted in the manual of checking of ANSYS [bib2]
2.2
Reference results
Temperature at the points
2.3
A B C D at time t=3s
Uncertainty on the solution
Unknown, it was not possible to get the original reference (delivers old, more published).
2.4
Bibliographical references
•
•
Schneider, P.J., «Conduction Heat Transfer», Addison-Wesley Publishing Co., Inc. Reading,
Mass., 2nd Printing, 1957.
ANSYS: «Checking manual,» 1 St edition June 1.1976,
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Titre : TTLP300 - Transfert thermique dans une barre métal[...]
Responsable : HAELEWYN Jessica
3
Modelization A
3.1
Characteristics of modelization
Date : 01/02/2011 Page : 4/6
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Clé : V4.23.300
:
1d4c0736b3c9
PLANE (QUAD8)
Conditions limites: ­ cotés AB et DA:  = 0 ­ cotés BC et CD: Text = 37.78 °C h = 1362.71 w/m² °C D Y N82 C N113 B y N1 x    A N26 3.2
Characteristics of the mesh
Number of nodes:
Number of meshes and types:
3.3
X 113
30 QUAD8
Remarks
The discretization in time step is the following one:
10 steps
for [0. , 1.D−4]
9 steps
for [1.D−4 ,1.D−3]
9 steps
for [1.D−3 , 1.D−2]
9 steps
for [1.D−2 , 1.D−1]
9 steps
for [1.D−1 , 1.D0]
20 steps
for [1.D0 ,3.D0 ]
that is to say  t=1.D−5
that is to say  t=1.D−4
that is to say  t=1.D−3
that is to say  t=1.D−2
that is to say  t=1.D−1
that is to say  t=1.D−1
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Titre : TTLP300 - Transfert thermique dans une barre métal[...]
Responsable : HAELEWYN Jessica
4
Results of modelization A
4.1
Tested values
Identification
moment t=3 s
Points
A N26
B  N113
C  N82
D N1
Reference
Date : 01/02/2011 Page : 5/6
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Clé : V4.23.300
:
1d4c0736b3c9
Aster
% difference
Tolerance
T ° C 
237.50
137.22
65.98
94.44
238.95
140.71
66.19
93.30
0,611
2,541
0,318
 1,206
5%
5%
5%
5%
Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is
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Code_Aster
Titre : TTLP300 - Transfert thermique dans une barre métal[...]
Responsable : HAELEWYN Jessica
5
Version
default
Date : 01/02/2011 Page : 6/6
Révision
Clé : V4.23.300
:
1d4c0736b3c9
Summary of results
The results obtained are satisfactory, the maximum gap is 2.5% lower than the tolerance fixed initially
(5%) (the reference solution is obtained graphically).
This test made it possible to test in linear transient, modelization PLANE, the commands:
• DEFI_MATERIAU associated with the keyword THER_ORTH, allowing to define the characteristics
of an orthotropic material,
• AFFE_CARA_ELEM associated with the keyword MASSIF, allowing to define the axes of
orthotropy.
Warning : The translation process used on this website is a "Machine Translation". It may be imprecise and inaccurate in whole or in part and is
provided as a convenience.
Licensed under the terms of the GNU FDL (http://www.gnu.org/copyleft/fdl.html)