Closure to “Velocity Profile and Flow Resistance Models for Developing Chute Flow” by Oscar Castro-Orgaz
This article is a reply.
VIEW THE ORIGINAL ARTICLEPublication: Journal of Hydraulic Engineering
Volume 137, Issue 12
HY.1943-7900.0000385/asset/1be78f49-d1d3-440f-943b-58a6108379de/assets/(asce)hy.1943-7900.0000385.fp.png)
Get full access to this article
View all available purchase options and get full access to this article.
References
Afzal, N. (2007). “Power law velocity profile in turbulent boundary layers on transitional rough wall.” J. Fluids Eng., 129(8), 1083–1100.
Bauer, W. J. (1951). “The development of the turbulent boundary layer on steep slopes.” Ph.D. thesis, Univ. of Iowa, Iowa City, IA.
Bauer, W. J. (1954). “Turbulent boundary layer on steep slopes.” Trans. Am. Soc. Civ. Eng., 119, 1212–1233.
Bormann, K. (1968). “Der abfluss in schussrinnen unter berücksichtigung der luftaufnahme.” Bericht 13, Versuchsanstalt für Wasserbau, Oskar von Miller Institut, Technische Hochschule, München (in German).
Buschmann, M., and Gad-el-Hak, M. (2003a). “Generalized logarithmic law and its consequences.” AIAA J., 41(1), 40–48.
Buschmann, M., and Gad-el-Hak, M. (2003b). “Debate concerning the mean-velocity profile of a turbulent boundary layer.” AIAA J., 41(4), 565–572.
Buschmann, M., and Gad-el-Hak, M. (2006). “Recent developments in scaling of wall-bounded flows.” Prog. Aerosp. Sci., 42(5-6), 419–467.
Cain, P., and Wood, I. R. (1981). “Measurements of self-aerated flow on a spillway.” J. Hydraul. Div., 107(11), 1425–1444.
Castro-Orgaz, O. (2009). “Hydraulics of developing chute flow.” J. Hydraul. Res., 47(2), 185–194.
Castro-Orgaz, O., and Hager, W. H. (2010). “Drawdown curve and turbulent boundary layer development for chute flow.” J. Hydraul. Res., 48(5), 591–602.
Chen, C. L. (1991). “Unified theory on power laws for resistance.” J. Hydraul. Eng., 117(3), 371–389.
Coles, D. E. (1956). “The law of the wake in the turbulent boundary layer.” J. Fluid Mech., 1(2), 191–226.
Dean, R. B. (1976). “A single formula for the complete velocity profile in a turbulent boundary layer.” J. Fluids Eng., 98(4), 723–726.
George, W. K. (2007). “Is there a universal log-law for turbulent wall-bounded flows?” Philos. Trans. R. Soc. A, 365, 789–806.
George, W. K., and Castillo, L. (1997). “The zero pressure-gradient turbulent boundary layer.” Appl. Mech. Rev., 50(12), 689–729.
Keulegan, G. H. (1938). “Laws of turbulent flow in open channels.” J. Res. Natl. Bur. Stand., 21(1), 707–741.
Kironoto, B. A., and Graf, W. H. (1994). “Turbulence characteristics in rough uniform open channel flow.” Proc., ICE-Water Maritime, Energy, 106(4), 333–344.
Osterlund, J. M. (1999). “Experimental studies of zero pressure-gradient turbulent boundary layer flow.” Ph.D. thesis, Dept. of Mechanics, Royal Institute of Technology, Stockholm, Sweden.
Silberman, E. (1980). “Boundary layers in developing open channel flow.” J. Hydraul. Div., 106(7), 1237–1241.
Silberman, E. (1981). “Closure of ‘Boundary layers in developing open channel flow’ by E. Silberman.” J. Hydraul. Div., 107(10), 1275.
White, F. M. (1991). Viscous fluid flow, McGraw-Hill, New York.
Wilson, E. H. (1981). “Discussion of ‘Boundary layers in developing open channel flow’ by E. Silberman.” J. Hydraul. Div., 107(4), 527–528.
Wood, I. R. (1991). “Air entrainment in free-surface flows.” IAHR hydraulic structures design manual 4, IAHR, Delft, Netherlands.
Wood, I. R., Ackers, P., and Loveless, J. (1983). “General method for critical point on spillways.” J. Hydraul. Eng., 109(2), 308–312.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 137 • Issue 12 • December 2011
Pages: 1696 - 1699
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Dec 6, 2010
Accepted: Dec 17, 2010
Published online: Jul 15, 2011
Published in print: Dec 1, 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.