Modeling A ============== Characteristics of modeling ----------------------------------- .. image:: images/100000000000028C0000014B30095CE3B0AAA437.png :width: 5.5327in :height: 2.8965in .. _RefImage_100000000000028C0000014B30095CE3B0AAA437.png: Central mesh area .. image:: images/1000000000000270000000C2781D29EE28290F10.png :width: 5.361in :height: 1.9165in .. _RefImage_1000000000000270000000C2781D29EE28290F10.png: The center of the torch is :math:`x=86.\mathrm{mm}` from the left edge. Boundary conditions: * Side :math:`\mathrm{DC1}`: adiabatic condition (:math:`\mathrm{flux}=0`) * Side :math:`\mathrm{DC2}`: imposed temperature 20°C * Upper surface :math:`\text{LSUP}`: this part is composed of the AB and IJ sides Imposed nonlinear flow :math:`\mathrm{QINOX}` (see table and figure below) Convective exchange: :math:`h=15\mathrm{.}{10}^{-6}W/({\mathrm{mm}}^{2.}°C)`, :math:`{T}_{\mathrm{ext}}=20°C`. * Lower surface: :math:`\text{LINF}` Imposed nonlinear flow :math:`\mathrm{QINOX}` (see table and figure below) Convective exchange: :math:`h=15\mathrm{.}{10}^{-6}W/({\mathrm{mm}}^{2.}°C)`, :math:`{T}_{\mathrm{ext}}=20°C`. * Scrolling speed of room :math:`V=-2.33\mathrm{mm}/s` Charging: Flux density provided by the torch: * Imposed flow density :math:`Q=19.62W/{\mathrm{mm}}^{2}` on side :math:`\mathrm{LZA}` (:math:`B\to I`) +----------------+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----+---------+ |Temperature (°C)|:math:`\mathrm{QINOX}` Nonlinear flow (:math:`W/{\mathrm{mm}}^{2}`)| | +----------------+-------------------------------------------------------------------+ + |20 |0.00E+00 | Temperature (°C) | | + + + :math: `\ mathrm {QINOX}` + | | | | | +----------------+-------------------------------------------------------------------+ + |100 |-1.76E-03 | | + + + ------------------+--------------------------------+ + | | | | + + + 800 | -7.96E-02 | -7.96E-02 | + | | | ------------------+--------------------------------+ | + + + + | | | | + + + + | | | | +----------------+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----+---------+ |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| +----------------+-------------------------------------------------------------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----+---------+ .. image:: images/10000201000001E70000018879B4F3C0A8D7E7EF.png :width: 4.8799in :height: 3.9299in .. _RefImage_10000201000001E70000018879B4F3C0A8D7E7EF.png: Characteristics of the mesh ---------------------------- Number of stitches: 144 (QUAD8) Number of knots: 565 Tested sizes and results ------------------------------ .. csv-table:: "**Identification**", "**Size**", "**Reference**" :math:`(°C)` ", "**Aster** :math:`(°C)` ", "**% Difference**" ":math:`\mathrm{N1}(X=\mathrm{82,}Y=0)` "," :math:`\mathrm{TEMP}` ", "1755.0", "1756.11", "0.063" ":math:`\mathrm{N2}(X=\mathrm{83,}Y=0)` "," :math:`\mathrm{TEMP}` ", "1920.0", "1920.0", "1919.29", "0.037" ":math:`\mathrm{N3}(X=\mathrm{84,}Y=0)` "," :math:`\mathrm{TEMP}` ", "1910.0", "1910.0", "1908.63", "0.072" ":math:`\mathrm{N7}(X=\mathrm{88,}Y=0)` "," :math:`\mathrm{TEMP}` ", "1494.0", "1494.0", "1493.46", "0.036" ":math:`\mathrm{N8}(X=\mathrm{89,}Y=0)` "," :math:`\mathrm{TEMP}` ", "1300.0", "1300.0", "1297.51", "0.191" ":math:`\mathrm{N173}(X=46.93,Y=0)` "," :math:`\mathrm{TEMP}` ", "1160.0", "1160.0", "1155.76", "0.365" ":math:`\mathrm{N174}(X=57.36,Y=0)` "," :math:`\mathrm{TEMP}` ", "1215.0", "1215.0", "1213.32", "0.139" ":math:`\mathrm{N175}(X=67.79,Y=0)` "," :math:`\mathrm{TEMP}` ", "1295.0", "1295.0", "1291.86", "0.243" ":math:`\mathrm{N478}(X=10.43,Y=-7)` "," :math:`\mathrm{TEMP}` ", "1007.0", "1001.09", "0.587" ":math:`\mathrm{N522}(X=52.14,Y=-7)` "," :math:`\mathrm{TEMP}` ", "989.0", "982.39", "0.668" ":math:`\mathrm{N559}(X=\mathrm{0,}Y=-7)` "," :math:`\mathrm{TEMP}` ", "980.0", "980.0", "973.92", "0.621" notes --------- In the table below we show the position of the nodes in the :math:`(\mathrm{xy})` coordinate system of the torch. .. csv-table:: "**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)**" ":math:`\mathrm{N1}:x=-4\mathrm{mm},y=0` "," :math:`\mathrm{N173}:x=-39.0\mathrm{mm},y=0` "," :math:`\mathrm{N478}:x=-86.0\mathrm{mm}`" ":math:`\mathrm{N2}:x=-3\mathrm{mm},y=0` "," :math:`\mathrm{N174}:x=-28.6\mathrm{mm},y=0` "," :math:`\mathrm{N522}:x=-81.0\mathrm{mm}`" ":math:`\mathrm{N3}:x=-2\mathrm{mm},y=0` "," :math:`\mathrm{N175}:x=-18.2\mathrm{mm},y=0` "," :math:`\mathrm{N559}:x=-18.2\mathrm{mm}`" ":math:`\mathrm{N7}:x=2\mathrm{mm},y=0` ", "", "" ":math:`\mathrm{N8}:x=3\mathrm{mm},y=0` ", "", ""