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Coefficients of Time and Length Scales of Turbulent Eddies

Published online by Cambridge University Press:  05 May 2011

Keh-Chin Chang  and
Shih-Shiang Jeng
Keh-Chin Chang*
Affiliation:
Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
Shih-Shiang Jeng*
Affiliation:
Department of Aeronautics and Astronautics, National Cheng Kung University, Tainan, Taiwan 70101, R.O.C.
*
*Professor
**Graduate student
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Abstract

The turbulence time and length scales representing the energy containing eddies are by Tt = CtT k/ε and ℓt = Ctℓ k32/ε, respectively, while the Kolmogorov time and length scales representing the energy dissipative eddies are expressed by Tk = CkT (ν/ε)1/2 and ℓk = Ckℓ (ν3/ε)1/4, respectively. The available DNS data for fully developed channel flows with and without wall injection / suction are used to determine the coefficients. It is found that, with the typical values of CtT = Ctℓ = 1 which are usually adopted in the turbulence study, ckT = 2 and Ckℓ = 3. However, this set of coefficients lead to underprediction of the thickness of viscous sublayer . By relaxing the usual assumption of CtT = Ctℓ= 1, a new set of coefficients: CtT = Ctℓ = 0.8, CkT = 4, and Ckℓ = 9 is suggested. The calculated with this set of coefficients becomes more physically reasonable.

Keywords

TurbulenceEddy time scaleEddy length scale
Type
Articles
Information
Journal of Mechanics , Volume 18 , Issue 4 , December 2002 , pp. 193 - 197
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2002

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References

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