CLC number: O357.5; TV131.21
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2010-06-22
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Zhao-cun Liu, Wei-jia Fan. Velocity distribution and scaling properties of wall bounded flow[J]. Journal of Zhejiang University Science A, 2010, 11(7): 505-510.
@article{title="Velocity distribution and scaling properties of wall bounded flow",
author="Zhao-cun Liu, Wei-jia Fan",
journal="Journal of Zhejiang University Science A",
volume="11",
number="7",
pages="505-510",
year="2010",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1000044"
}
%0 Journal Article
%T Velocity distribution and scaling properties of wall bounded flow
%A Zhao-cun Liu
%A Wei-jia Fan
%J Journal of Zhejiang University SCIENCE A
%V 11
%N 7
%P 505-510
%@ 1673-565X
%D 2010
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1000044
TY - JOUR
T1 - Velocity distribution and scaling properties of wall bounded flow
A1 - Zhao-cun Liu
A1 - Wei-jia Fan
J0 - Journal of Zhejiang University Science A
VL - 11
IS - 7
SP - 505
EP - 510
%@ 1673-565X
Y1 - 2010
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1000044
Abstract: The scaling and similarity of wall bounded turbulent flow were studied. The properties of such flows and the relationship between a power law and a logarithmic type of velocity distribution were investigated. Based on the physical mechanism involved, our results show that the power law and the logarithmic distribution are only different forms with the same hypothesis and hold only in the outer flow zone. Thus, a universal explanation for various empirical formulae of velocity distribution was obtained. Manning’s formula was studied to explain theoretically the experiential result that the roughness coefficient is only a comprehensive parameter of the whole system without a corresponding physical factor. The physical mechanism of the velocity distribution of parallel to wall bounded flow was explored, the results show that the parameters in the formula of velocity distribution are indices of the system responding to flowing environmental factors to represent general case of boundary roughness and the flowing state, corresponding physical mechanism is vortex motion.
[1]Afzal, N., 2008. Turbulent boundary layer with negligible wall stress. Journal of Fluids Engineering, 130(5):051205.
[2]Allen, J.J., Shockling, M.A., Kunkel, G.J., Smits, A.J., 2007. Turbulent flow in smooth and rough pipes. Philosophical Transactions of The Royal Society A: Mathematical Physical and Engineering Sciences, 365(1852):699-714.
[3]Barenblatt, G.I., 1996. Similarity, Self-similarity, and Intermediate Asymptotics. Cambridge University Press, Cambridge, p.64-94.
[4]Brzek, B., Cal, R.B., Johansson, G., Castillo, L., 2007. Inner and outer scalings in rough surface zero pressure gradient turbulent boundary layers. Physics of Fluids, 19(6): 065101.
[5]Gioia, G., Bombardelli, F.A., 2001. Scaling and similarity in rough channel flows. Physical Review Letters, 88(1): 014501.
[6]Goldenfeld, 2006. Roughness-induced critical phenomena in a turbulent flow. Physical Review Letters, 96(4):044503.
[7][doi:10.1103/PhysRevLett.96.044503]
[8]Hinze, J.O., 1975. Turbulence. McGraw-Hill, New York, p.386-388.
[9]Hogarth, W.L., Parlange, J.Y., 2005. Interpolation between Darcy-Weisbach and Darcy for laminar and turbulent flows. Advances in Water Resources, 28(10):1028-1031.
[10]Hunt, J.C.R., 2001. Development in turbulence research: a review based on the 1999 Programme of the Isaac Newton Institute, Cambridge. Journal of Fluid Mechanics, 436:353-391.
[11]Lee, C.B., Wu, J.Z., 2008. Transition in wall bounded flows. Applied Mechanics Reviews, 61(3):030802-1.
[12]L’vov, V.S., Procaccia, I., Rudenko, O., 2008. Universal model of finite Reynolds number turbulent flow in channels and pipes. Physical Review Letters, 100(5):054504.
[13]Mehrafarin, M., Pourtolami, N., 2008. Intermittency and rough-pipe turbulence. Physical Review E, 77(5): 055304(R).
[14]Park, J.Y., Chung, M.K., 2004. Revisit of viscous sublayer scaling law. Physics of Fluids, 16(2):478-481.
[15]She, Z.S., Su, W.D., 1999. Hierarchical structure and scaling in turbulence. Advance in Mechanics, 29(3):289-303 (in Chinese).
[16]Sreenivasan, K.R., 1999. Fluid turbulence. Reviews of Modern Physics, 71(2):S383-S395.
[17]Townsend, A.A., 1976. The Structure of Turbulent Shear Flow. Cambridge University Press, Cambridge, p.262-275.
[18]Wilcox, D.C., 1994. Turbulence Modeling for CFD. DCW Industries, Inc, California, p.243-272.
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