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Copy file name to clipboardExpand all lines: _vandv/SANDIA_jet.md
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@@ -14,33 +14,52 @@ By comparing the results of SU2 simulations case against the experimental data,
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## Problem Setup
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The flow conditions are based on the Sandia experiment (Schefer et al. 1986):
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The flow conditions are based on the Sandia experiment$$^{1}$$:
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- Temperature = 294 K
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- Thermodynamic pressure = 101.325 Pa
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- Jet inner diameter = 5.26 m
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- Jet outer diameter = 9.0 mm
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- Temperature = 294 [K]
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- Thermodynamic pressure = 101325 [Pa]
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- Jet inner diameter = 5.26 [mm]
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- Jet outer diameter = 9.0 [mm]
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The inlet conditions are given below:
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Gas inlet:
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- Bulk jet velocity = 53 m/s
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- Bulk jet velocity = 53 [m/s]
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- Turbulence intensity = 4%
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- Eddy viscosity ratio = 5.0
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- Reynolds number = 68.000
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- Reynolds number = 68000
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Air inlet:
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- Velocity = 9.2 m/s
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- Velocity = 9.2 [m/s]
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- Turbulence intensity = 0.4%
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- Eddy viscosity ratio = 0.1
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The thermochemical properties for the propane and air are presented in the table below
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The thermochemical properties for the propane and air are presented below:
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* Propane:
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- Molecular Weight = 44.097 [g / mol]
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- Viscosity: 8.04E-06 [kg /(m s)]
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- Heat capacity at constant pressure: 1680.0 [J/(kg K)]
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- Thermal Conductivity: 0.0179 [W /(m K)]
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* Air:
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- Molecular Weight = 28.960 [g / mol]
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- Viscosity: 1.8551E-05 [kg /(m s)]
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- Heat capacity at constant pressure: 1009.39 [J/(kg K)]
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- Thermal Conductivity: 0.0258 [W /(m K)]
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## Mesh Description
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An inlet section with a length of 30D is included upstream of the jet exit, in order to achieve fully-developed turbulent pipe flow.
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Structured meshes of increasing density have been used to perform a grid convergence study. The following four meshes have been used:
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- 65x60 - 3556 quadrilaterals
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- 80x74 - 5442 quadrilaterals
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- 94x88 - 7649 quadrilaterals
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- 108x102 - 10267 quadrilaterals
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The length of the domain in streamwise direction is 80D. the width is 20D. Additionally, an inlet section with a length of 30D is included upstream of the jet exit, in order to achieve fully-developed turbulent pipe flow.
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If you would like to run the bump-in-channel problem for yourself, you can use the files available in the [SU2 V&V repository](https://github.com/su2code/VandV/tree/master/rans/SANDIA_jet). The configuration file, as well as the grids in GEO format, are provided.
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## Results
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@@ -61,21 +80,19 @@ The comparisons in the figures demonstrate good agreement with the experimental
<imgsrc="/vandv_files/SANDIA_jet/images/YD0_f.png"alt="Mixture Fraction along Jet Centerline" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD4_f.png"alt="Mixture Fraction at x/D=4" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD15_f.png"alt="Mixture Fraction at x/D=15" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD30_f.png"alt="Mixture Fraction at x/D=30" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD50_f.png"alt="Mixture Fraction at x/D=50" />
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</p>
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### Mean Axial Velocity
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<palign="center">
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<imgsrc="/vandv_files/SANDIA_jet/images/YD0_V.png"alt="Mean Radial Velocity along Jet Centerline" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD4_U.png"alt="Mean Radial Velocity at x/D=4" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD15_U.png"alt="Mean Radial Velocity at x/D=15" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD30_U.png"alt="Mean Radial Velocity at x/D=30" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD50_U.png"alt="Mean Radial Velocity at x/D=50" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD4_V.png"alt="Mean Radial Velocity at x/D=4" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD15_V.png"alt="Mean Radial Velocity at x/D=15" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD30_V.png"alt="Mean Radial Velocity at x/D=30" />
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<imgsrc="/vandv_files/SANDIA_jet/images/XD50_V.png"alt="Mean Radial Velocity at x/D=50" />
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</p>
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### Turbulent Kinetic Energy
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<imgsrc="/vandv_files/SANDIA_jet/images/YD0_rho.png"alt="Mean density along Jet Centerline" />
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</p>
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The experimental results for the mean density are given in Sandia’s database, but these are directly computed from the mixture fraction by making use of the ratio between the density of propane and air. The ratio that is being used for this purpose is 1.6$$^{2}$$, whereas the expected ratio is lower. The higher density ratio used in the post-processing of the experimental data results in a wider
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density range across the domain, which can partly explain the differences between the experimental data and the numerical results on the density along the jet centerline. The spreading rate of a jet is independent of the initial density ratio $$^{2}$$.
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<palign="center">
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<imgsrc="/vandv_files/SANDIA_jet/images/Residuals_convergence.png"alt="Residuals Convergence for the Turbulent Jet Mixing" />
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