UFR 1-06 Test Case: Difference between revisions
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== CFD Methods == | == CFD Methods == | ||
<math>\frac{\partial }{\partial x_{j}}\left(\overline{{\rho | |||
}}U_{j}\varepsilon \right)=\frac{\partial }{\partial | |||
x_{j}}\left[\left(\mu +\frac{\mu }{\sigma _{\varepsilon | |||
}}\right)\frac{\partial \varepsilon }{\partial | |||
x_{j}}\right]+c_{\varepsilon 1}\overline{{\rho }}S\frac{\varepsilon | |||
}{k}-c_{\varepsilon 2}\overline{{\rho }}\frac{\varepsilon | |||
^{2}}{k+\sqrt{\nu \varepsilon }}+S_{\varepsilon B}</math> | |||
{{UFRHeader | {{UFRHeader | ||
Revision as of 18:51, 24 January 2010
Axisymmetric buoyant far-field plume in a quiescent unstratified environment
Underlying Flow Regime 1-06
Test Case
Brief Description of the Study Test Case
The experiments used in this UFR are those of George et al. [3] which were conducted in 1974 at the Factory Mutual Research Corporation and were subsequently repeated by Shabbir & George [33] at the University of Buffalo.
• Heated air is discharged through a circular orifice into ambient air that is at rest. • The plume source temperature is 300°C and the ambient air is 29°C. • The source has diameter, D = 6.35 cm. • The hot air is discharged at a velocity of U0 = 67 cm/s with a approximately a top-hat profile. • Temperature and velocity fluctuations at the inlet are less than 0.1%. • George et al. [3] present experimentally measured profiles of both mean and fluctuating components of the temperature and axial velocity in the self-similar region at x/D = 8, 12 and 16 above the source.
Test Case Experiments
CFD Methods
![{\displaystyle {\frac {\partial }{\partial x_{j}}}\left({\overline {\rho }}U_{j}\varepsilon \right)={\frac {\partial }{\partial x_{j}}}\left[\left(\mu +{\frac {\mu }{\sigma _{\varepsilon }}}\right){\frac {\partial \varepsilon }{\partial x_{j}}}\right]+c_{\varepsilon 1}{\overline {\rho }}S{\frac {\varepsilon }{k}}-c_{\varepsilon 2}{\overline {\rho }}{\frac {\varepsilon ^{2}}{k+{\sqrt {\nu \varepsilon }}}}+S_{\varepsilon B}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/0406509f7f34a7af764e5da55249872cf55981d8)
Contributed by: Simon Gant — '
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