Power-law index for velocity profiles in open channel flows

Advances in Water Resources

Volumn 30, Issue 8, 2007, Pages 1775-1784

  Cheng, Nian Sheng ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Friction factor; Logarithmic law; Open channel flow; Power law; Resistance; Velocity distribution

Indexed keywords

APPROXIMATION THEORY; FLOW VELOCITY; REYNOLDS NUMBER; SURFACE ROUGHNESS; TURBULENCE MODELS; VELOCITY DISTRIBUTION;

LOGARITHMIC LAW; MANNING EQUATION; POWER LAW;

OPEN CHANNEL FLOW;

APPROXIMATION THEORY; FLOW VELOCITY; OPEN CHANNEL FLOW; REYNOLDS NUMBER; SURFACE ROUGHNESS; TURBULENCE MODELS; VELOCITY DISTRIBUTION;

INDEX METHOD; NUMERICAL MODEL; OPEN CHANNEL FLOW; POWER LAW; REYNOLDS NUMBER; TURBULENCE;

EID: 34248157707     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2007.02.001     Document Type: Article

References (25)

1. Chanson H. The hydraulics of open channel flow: an introduction. 2nd ed. vol. xlvii (2004), Elsevier, Butterworth-Heinemann, Oxford, Burlington, MA 585 p, [16] of plates
2. Montes S. Hydraulics of open channel flow vol. viii (1998), ASCE Press, Reston, VA 697 p
3. Kundu P.K., Cohen I.M., and Hu H.H. Fluid mechanics. 3rd ed. vol. xxiv (2004), Elsevier, Academic Press, Amsterdam, Boston 759 p
4. Barenblatt G.I., and Prostokishin V.M. Scaling laws for fully-developed turbulent shear flows. 2. Processing of experimental-data. J Fluid Mech 248 (1993) 521-529
5. Schlichting H. Boundary-layer theory. 7th ed. McGraw-Hill series in mechanical engineering vol. xxii (1979), McGraw-Hill, New York 817 p
6. Nikuradze J. Stromungsgesetze in rauhen Rohren. Forschung auf dem Gebiete des Ingenieurwesens, 1933. Forschungsheft 361. VDI Verlag, Berlin, Germany [in German] [English translation: Laws of flow in rough pipes, NACA TM 1292, 1950].
7. Hinze J.O. Turbulence. 2nd ed. McGraw-Hill series in mechanical engineering vol. x (1975), McGraw-Hill, New York 790 p
8. Bergstrom D.J., Tachie M.F., and Balachandar R. Application of power laws to low Reynolds number boundary layers on smooth and rough surfaces. Phys Fluids 13 11 (2001) 3277-3284
9. Qian N., and Wan Z. Mechanics of sediment transport vol. xix (1999), American Society of Civil Engineers, Reston, VA 913 p
10. Chen C.I. Unified theory on power laws for flow resistance. J Hydraul Eng-ASCE 117 3 (1991) 371-389
11. Smart G.M., Duncan M.J., and Walsh J.M. Relatively rough flow resistance equations. J Hydraul Eng-ASCE 128 6 (2002) 568-578
12. Zimmermann C., and Kennedy J.F. Transverse bed slopes in curved alluvial streams. J Eng Mech-ASCE 104 HY1 (1978) 33-48
13. Barenblatt G.I. Scaling laws for fully-developed turbulent shear flows. 1. Basic hypotheses and analysis. J Fluid Mech 248 (1993) 513-520
14. Nikuradze J. Stromungsgesetze in rauhen Rohren. Forschungsheft, 1933. 361, Verein Deutscher Ingenieure, Berlin [English translation published as Technical Memorandum 1292, National Advisory Committee for Aeronautics (1950)].
15. Zagarola M.V., and Smits A.J. Scaling of the mean velocity profile for turbulent pipe flow. Phys Rev Lett 78 2 (1997) 239-242
16. Nezu I., and Nakagawa H. Turbulence in open-channel flows vol. xii (1993), A.A. Balkema, Rotterdam, Netherlands 281 p
17. Colebrook C.F. Turbulent flow in pipes with particular reference to the transition region between the smooth and rough pipe laws. Proc Inst Civil Eng 12 (1939) 393-422
18. Zagarola M.V., and Smits A.J. Mean-flow scaling of turbulent pipe flow. J Fluid Mech 373 (1998) 33-79
19. Osterlund J.M., et al. A note on the overlap region in turbulent boundary layers. Phys Fluids 12 1 (2000) 1-4
20. Purtell L.P., Klebanoff P.S., and Buckley F.T. Turbulent boundary-layer at low Reynolds-Number. Phys Fluids 24 5 (1981) 802-811
21. Tsuji Y., and Nakamura I. Probability density function in the log-law region of low Reynolds number turbulent boundary layer. Phys Fluids 11 3 (1999) 647-658
22. Morrison J.F., et al. Scaling of the streamwise velocity component in turbulent pipe flow. J Fluid Mech 508 (2004) 99-131
23. Sreenivasan KR, Anupam S. The persistence of viscous effects in the overlap region, and the mean velocity in turbulent pipe and channel flows. arXiv: physics/9708016 Volume, 1-15, 1997.
24. White F.M. Viscous fluid flow. 2nd ed. McGraw-Hill series in mechanical engineering vol. xxi (1991), McGraw-Hill, New York 614 p
25. Yen B.C. Open channel flow resistance. J Hydraul Eng-ASCE 128 1 (2002) 20-39