Structure function empirical constant: Difference between revisions
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The value of the constant is generally accepted to be <math>2.1\pm 0.1</math>, based on the following studies: | The value of the constant is generally accepted to be <math>2.1\pm 0.1</math>, based on the following studies: | ||
# Sauvageot (1992): Used Doppler radar measurements of turbulence in the atmosphere to obtain a value of <math>2.0\pm 0.1</math> | # Sauvageot (1992)<ref name="Sauvageot">{{Cite journal | ||
# Saddoughi and Veeravalli (1994): Used measurements in a wind tunnel to obtain a value of <math>2.1\pm 0.1</math> | |authors= H. Sauvageot | ||
# Sreenivasan (1995): Compiled the results from experimental studies of both grid turbulence and shear flows to conclude that a value of 2.0 agreed best with the spectral inertial subrange equation | |journal_or_publisher= Artech House | ||
|paper_or_booktitle= Radar Meteorology | |||
|year= 1992 | |||
}}</ref>: Used Doppler radar measurements of turbulence in the atmosphere to obtain a value of <math>2.0\pm 0.1</math> | |||
# Saddoughi and Veeravalli (1994)<ref name="Saddoughi">{{Cite journal | |||
|authors= K. R. Sreenivasan | |||
|journal_or_publisher= J. Fluid Mech. | |||
|paper_or_booktitle= Local isotropy in turbulent boundary layers at high Reynolds number | |||
|year= 1994 | |||
|doi= https://doi.org/10.1017/S0022112094001370 | |||
}}</ref>: Used measurements in a wind tunnel to obtain a value of <math>2.1\pm 0.1</math> | |||
# Sreenivasan (1995) <ref name="Sreenivasan">{{Cite journal | |||
|authors= K. R. Sreenivasan | |||
|journal_or_publisher= Phys. Fluids | |||
|paper_or_booktitle= On the universality of the Kolmogorov constant | |||
|year= 1995 | |||
|doi= 10.1063/1.868656 | |||
}}</ref>: Compiled the results from experimental studies of both grid turbulence and shear flows to conclude that a value of 2.0 agreed best with the spectral inertial subrange equation | |||
== Notes == | |||
Latest revision as of 21:46, 12 November 2021
| Short definition of Structure function empirical constant ([math]\displaystyle{ C_2 }[/math]) |
|---|
| The empirical constant relating the longitudinal structure function [math]\displaystyle{ D_{LL} }[/math] to the dissipation rate ([math]\displaystyle{ \varepsilon }[/math]) |
This is the common definition for Structure function empirical constant, but other definitions maybe discussed within the wiki.
Dimensional analysis can be used to show that [math]\displaystyle{ D_{LL} }[/math] must satisfy the "two-thirds law", i.e., [math]\displaystyle{ D_{LL}(r,t) = C_2\varepsilon^{2/3}r^{2/3} }[/math] where [math]\displaystyle{ C_2 }[/math] is a universal constant.
The value of the constant is generally accepted to be [math]\displaystyle{ 2.1\pm 0.1 }[/math], based on the following studies:
- Sauvageot (1992)[1]: Used Doppler radar measurements of turbulence in the atmosphere to obtain a value of [math]\displaystyle{ 2.0\pm 0.1 }[/math]
- Saddoughi and Veeravalli (1994)[2]: Used measurements in a wind tunnel to obtain a value of [math]\displaystyle{ 2.1\pm 0.1 }[/math]
- Sreenivasan (1995) [3]: Compiled the results from experimental studies of both grid turbulence and shear flows to conclude that a value of 2.0 agreed best with the spectral inertial subrange equation
Notes
- ↑ H. Sauvageot. 1992. Radar Meteorology. Artech House. doi:{{{doi}}}
- ↑ K. R. Sreenivasan. 1994. Local isotropy in turbulent boundary layers at high Reynolds number. J. Fluid Mech.. doi:https://doi.org/10.1017/S0022112094001370
- ↑ K. R. Sreenivasan. 1995. On the universality of the Kolmogorov constant. Phys. Fluids. doi:10.1063/1.868656
