3. Modeling A#
3.1. Characteristics of modeling#
AXIS (QUAD4)
3.2. Characteristics of the mesh#
Number of knots: |
25 |
Number of meshes and types: |
16 QUAD4 |
3.3. notes#
Volume heat \(\rho {C}_{P}\) is not a step in this test, but must be declared. We take \(\rho {C}_{P}=2.0J/{m}^{3}\text{°}C\).
Boundary condition \(\varphi =0.\) is implicit on free edges.
The boundary conditions, \(T=-17.778\text{°}C\) on KL, and \(T=4.444\text{°}C\) on LE, are incompatible at point L (node25).
Code_Aster applies an « overload law » which, in this case, consists in taking into account the last limit condition entered. The order in which the temperatures imposed are assigned therefore has a major influence on the results obtained.
In the case treated, the temperature on the upper face (LE) is affected after that on the flank of the cylinder (KL).
3.4. Tested sizes and results#
Identification |
Reference |
Aster |
|||
KL before » |
% difference KL before |
NISA |
|||
Temperature \((\text{°}C)\) |
|||||
Knots |
|||||
n1 T (A) |
-17.778 |
-17.778 |
-17.778 |
|
—17.778 |
n2 (TB) |
-14.000 |
-14.000 |
-13.79 |
|
—13.953 |
n3 T (C) |
-9.111 |
-9.111 |
-8.908 |
|
—9.151 |
n4 T (D) |
-2.889 |
-2.889 |
-2.713 |
-6.10% |
—2.892 |
n5 (TE) |
4.444 |
4.444 |
4.444 |
|
4.444 |
n11 T (F) |
-17.778 |
-17.778 |
-17.778 |
|
—17.778 |
n12 (TG) |
-14.889 |
-14.999 |
|
—15.179 |
|
n13 T (H) |
-10.667 |
-11.005 |
|
—11.499 |
|
n14 T (I) |
-4.444 |
-4.444 |
-4.412 |
-0.72% |
—4.854 |
n15 T (J) |
4.444 |
4.444 |
4.444 |
|
4.444 |
(*: Imposed temperature)