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Merge pull request #55 from FireDynamics/release_v.0.14.2
Release v.0.14.2
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book/_toc.yml

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- file: content/modelling/06_heat_transfer/00_overview
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sections:
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- file: content/modelling/06_heat_transfer/01_fundamentals
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- file: content/modelling/06_heat_transfer/02_heat_transfer_example
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####################
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# TOOLS

book/content/modelling/06_heat_transfer/01_fundamentals.ipynb

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"In general, all heat conduction processes may be modelled with the (differential) Fourier's law\n",
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"\n",
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"$$\n",
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"\\mf \\vec{q} = \\mathbf{k} \\nabla T \\quad ,\n",
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"\\mf \\vec{q} = -\\mathbf{k} \\nabla T \\quad ,\n",
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"$$\n",
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"\n",
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"where $\\mf \\vec{q}$ is the conduction vector, $\\mf \\mathbf{k}$ is the conduction matrix and $\\mf T$ the temperature field. In general the conduction is neither isotropic nor homogenous, therefore a scalar heat conduction coefficient is not sufficient. Additionally, it depends on the temperature.\n",
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"source": [
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"### Fluid-Solid Interface\n",
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"The heat flux $\\mf q$ through a surface $\\mf A$ is given by the temperature difference of the gas $\\mf T_g$ and the solid wall $\\nf T_w$, by Newton's cooling law\n",
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"The heat flux $\\mf q$ through a surface $\\mf A$ is given by the temperature difference of the gas $\\mf T_g$ and the solid wall $\\mf T_w$, by Newton's cooling law\n",
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"\n",
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"$$\n",
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"\\mf q = hA(T_w - T_g)\\quad ,\n",

book/content/modelling/06_heat_transfer/02_heat_transfer_example.ipynb

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&HEAD CHID = 'heat_transfer', TITLE = 'Heat Transfer Example' /
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## Computational domain, simulation time and ambient values
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&MESH IJK = 8,10,25, XB = -0.8,0.8, 0,2.0, 0.0,5.0 /
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&TIME T_END = 600.0 /
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&MISC TMPA = 20.0 /
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## Geometry
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&OBST XB = 0.0,0.0 1.2,2.0, 0.0,5.0 /
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&OBST XB = -1.0,1.0 1.0,1.2, 4.8,5.0 /
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&OBST XB = -0.8,0.8 1.0,1.2, 0.0,4.0 /
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&OBST XB = -0.8,0.0 1.0,1.2, 4.0,4.8 SURF_ID = SURF_1/
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&OBST XB = 0.8,0.0 1.0,1.2, 4.0,4.8 SURF_ID = SURF_2/
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&OBST XB = -0.4,0.4 0.6,0.6, 2.2,3.0 COLOR = 'GRAY' /
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## Domain boundary conditions
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&VENT MB = 'YMAX' SURF_ID = 'OPEN' /
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## Heater surface
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&VENT XB = -0.8,0.8, 0.0,0.0, 0.0, 5.0, SURF_ID='HEATER' /
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&SURF ID = 'HEATER', TMP_FRONT = 1000., COLOR = 'RASPBERRY' /
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## Material properties
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&SURF ID = 'SURF_1' COLOR = 'ORANGE' /
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&SURF ID = 'SURF_2' COLOR = 'YELLOW' /
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## Output definition
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&SLCF PBX = 0, QUANTITY = 'TEMPERATURE', CELL_CENTERED = .TRUE. /
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&TAIL /

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