3. Modeling A

3.1. Characteristics of modeling

Central mesh area

The center of the torch is \(x=86.\mathrm{mm}\) from the left edge.

Boundary conditions:

• Side \(\mathrm{DC1}\): adiabatic condition (\(\mathrm{flux}=0\))

• Side \(\mathrm{DC2}\): imposed temperature 20°C

• Upper surface \(\text{LSUP}\): this part is composed of the AB and IJ sides

Imposed nonlinear flow \(\mathrm{QINOX}\) (see table and figure below)

Convective exchange: \(h=15\mathrm{.}{10}^{-6}W/({\mathrm{mm}}^{2.}°C)\), \({T}_{\mathrm{ext}}=20°C\).

• Lower surface: \(\text{LINF}\)

Imposed nonlinear flow \(\mathrm{QINOX}\) (see table and figure below)

Convective exchange: \(h=15\mathrm{.}{10}^{-6}W/({\mathrm{mm}}^{2.}°C)\), \({T}_{\mathrm{ext}}=20°C\).

• Scrolling speed of room \(V=-2.33\mathrm{mm}/s\)

Charging: Flux density provided by the torch:

• Imposed flow density \(Q=19.62W/{\mathrm{mm}}^{2}\) on side \(\mathrm{LZA}\) (\(B\to I\))

Temperature (°C)	\(\mathrm{QINOX}\) Nonlinear flow (\(W/{\mathrm{mm}}^{2}\))	Temperature (°C) | :math: mathrm {QINOX} | ——————+——————————–+ 800 | -7.96E-02 | -7.96E-02 | ——————+——————————–+
20	0.00E+00
100	-1.76E-03
200	-5.04E-03		1000	-1.46E-01
300	-9.80E-03		1100	-1.92E-01
400	-1.63E-02		1200	-2.48E-01
500	-2.59E-02		1300	-3.17E-01
600	-3.89E-02		1400	-3.99E-01
700	-5.64E-02		1500	-4.97E-01

3.2. Characteristics of the mesh

Number of stitches: 144 (QUAD8)

Number of knots: 565

3.3. Tested sizes and results

Identification	Size	Reference
\((°C)\) «	Aster \((°C)\)	% Difference
\(\mathrm{N1}(X=\mathrm{82,}Y=0)\)	\(\mathrm{TEMP}\)	1755.0	1756.11	0.063
\(\mathrm{N2}(X=\mathrm{83,}Y=0)\)	\(\mathrm{TEMP}\)	1920.0	1920.0	1919.29	0.037
\(\mathrm{N3}(X=\mathrm{84,}Y=0)\)	\(\mathrm{TEMP}\)	1910.0	1910.0	1908.63	0.072
\(\mathrm{N7}(X=\mathrm{88,}Y=0)\)	\(\mathrm{TEMP}\)	1494.0	1494.0	1493.46	0.036
\(\mathrm{N8}(X=\mathrm{89,}Y=0)\)	\(\mathrm{TEMP}\)	1300.0	1300.0	1297.51	0.191
\(\mathrm{N173}(X=46.93,Y=0)\)	\(\mathrm{TEMP}\)	1160.0	1160.0	1155.76	0.365
\(\mathrm{N174}(X=57.36,Y=0)\)	\(\mathrm{TEMP}\)	1215.0	1215.0	1213.32	0.139
\(\mathrm{N175}(X=67.79,Y=0)\)	\(\mathrm{TEMP}\)	1295.0	1295.0	1291.86	0.243
\(\mathrm{N478}(X=10.43,Y=-7)\)	\(\mathrm{TEMP}\)	1007.0	1001.09	0.587
\(\mathrm{N522}(X=52.14,Y=-7)\)	\(\mathrm{TEMP}\)	989.0	982.39	0.668
\(\mathrm{N559}(X=\mathrm{0,}Y=-7)\)	\(\mathrm{TEMP}\)	980.0	980.0	973.92	0.621

3.4. notes

In the table below we show the position of the nodes in the \((\mathrm{xy})\) coordinate system of the torch.

Knots located under the torch (Zone 1)	Nodes located to the left of the torch (Zone 2)	Nodes located to the left of the torch and below the plate (Zone 3)
\(\mathrm{N1}:x=-4\mathrm{mm},y=0\)	\(\mathrm{N173}:x=-39.0\mathrm{mm},y=0\)	\(\mathrm{N478}:x=-86.0\mathrm{mm}\)
\(\mathrm{N2}:x=-3\mathrm{mm},y=0\)	\(\mathrm{N174}:x=-28.6\mathrm{mm},y=0\)	\(\mathrm{N522}:x=-81.0\mathrm{mm}\)
\(\mathrm{N3}:x=-2\mathrm{mm},y=0\)	\(\mathrm{N175}:x=-18.2\mathrm{mm},y=0\)	\(\mathrm{N559}:x=-18.2\mathrm{mm}\)
\(\mathrm{N7}:x=2\mathrm{mm},y=0\)
\(\mathrm{N8}:x=3\mathrm{mm},y=0\)