3. Modeling A#
3.1. Characteristics of modeling#
2D modeling:
3.2. Boundary conditions and loads#
Outgoing flow through wall \({B}_{1}{C}_{1}\) identical to inflow through wall \({A}_{2}{D}_{2}\) |
|
Temperature imposed in \({A}_{1}\) Temperature imposed in \({B}_{2}\) |
\(T=4.5°C\) |
Normal flow imposed on the wall \({B}_{2}{C}_{2}\) Normal flow imposed on plans \({C}_{1}{D}_{1}\) and \({C}_{2}{D}_{2}\) |
\(\varphi =\mathrm{6.W}/{m}^{2}\) |
Source imposed in domain 1 Source imposed in field 2 |
\({s}_{1}\) \({s}_{2}\) |
3.3. Characteristics of the mesh#
6 QUAD8
36 knots
3.4. Tested values#
Identification Temperature |
Reference |
node \(\mathit{N2}\) (\({B}_{1}\)) |
1.00 |
node \(\mathit{N3}\) |
2.00 |
node \(\mathit{N6}\) |
1.25 |
node \(\mathit{N11}\) |
3.25 |
node \(\mathit{N9}\) |
5.00 |
node \(\mathit{N16}\) |
7.25 |
node \(\mathit{N14}\) (\({C}_{1}\)) |
10.00 |
node \(\mathit{N19}\) (\({A}_{2}\)) |
2.00 |
node \(\mathit{N22}\) |
3.00 |
node \(\mathit{N26}\) |
2.25 |
node \(\mathit{N31}\) |
4.25 |
node \(\mathit{N28}\) |
6.00 |
node \(\mathit{N36}\) |
8.25 |
knot \(\mathit{N33}\) (\({D}_{2}\)) |
11.00 |
3.5. notes#
Since the shape functions of element QUAD8 are of order 2, it is natural to obtain the reference solution which is expressed in the form of a polynomial of order 2.
The command file submitted contains a list of moments and calls command THER_LINEAIRE to perform a transitory calculation that is not of interest, the volume heat coefficient being taken to be equal to 0.