Time of Concentration Formula for Sheet Flow of Varying Flow Regime
Publication: Journal of Hydrologic Engineering
Volume 2, Issue 3
Abstract
For an overland plane with rainfall as the lateral inflow, the flow regime is complicated by the varying flow depth and velocity along the plane. The flow regime becomes variable. For a plane that is sufficiently long, from the upstream to the downstream end of the plane, the flow regime may change from laminar through transitional to turbulent. In this paper, by coupling the kinematic wave equations with the Darcy-Weisbach friction formula, a time of concentration formula for a portion of a plane subject to uniform rainfall excess and a constant upstream inflow is derived. This formula is applicable to a portion of plane with a single flow regime only. For practical application, this formula is further developed for a plane of uniform slope subject to uniform rainfall excess, with flow regime varying from laminar through transitional to turbulent. An application of the formula for varying flow regime shows that its time of concentration estimate is longer than those based on a single flow regime covering the entire plane.
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References
1.
Agiralioglu, N., and Singh, V. P.(1981). “Kinematic wave nomographs for time of concentration and lag time.”Irrig. and Power, 38(4), 351–358.
2.
Akan, A. O.(1986). “Time of concentration of overland flow.”J. Irrig. and Drain. Engrg., ASCE, 112(4), 283–292.
3.
Bulter, S. S.(1977). “Overland-flow travel time versus Reynolds number.”J. Hydro., 32, 175–182.
4.
Chen, C. N., and Wong, T. S. W.(1993). “Critical rainfall duration for maximum discharge from overland plane.”J. Hydr. Engrg., ASCE, 119(9), 1040–1045.
5.
Chow, V. T. (1959). Open channel hydraulics. McGraw-Hill, Inc., New York.
6.
Federal Aviation Administration (FAA). (1970). “Airport drainage.”Advisory Circular No. 150/5320-5B, Department of Transportation, Washington, D.C.
7.
Hicks, W. I.(1942). “Discussion of `Surface runoff determination from rainfall without using coefficients' by W. W. Horner and S. W. Jens.”Trans., ASCE, New York, N.Y., 107, 1097–1102.
8.
Izzard, C. F. (1946). “Hydraulics of runoff from developed surfaces.”Proc., 26th Annu. Meeting Hwy. Res. Board, National Research Council, Washington, D.C., 129–150.
9.
Kerby, W. S.(1959). “Time of concentration for overland flow.”Civ. Engrg., 29(3), 60.
10.
Kibler, D. F. (1982). “Desk-top methods for urban stormwater calculation.”Urban stormwater hydrology, Water Resources Monograph 7, D. F. Kibler, ed., American Geophysical Union, Washington, D.C., 87–135.
11.
Kibler, D. F., and Aron, G. (1983). “Evaluation of Tc methods for urban watersheds.”Proc., Frontiers in Hydr. Engrg. Conf., H. T. Shen, ed., ASCE, New York, 553–558.
12.
Radojkovic, M., and Maksimovic, C. (1987). “On standardization of computational models for overland flow.”Proc., 4th Int. Conf. on Urban Storm Drain., B. C. Yen, ed., International Association for Hydraulic Research, Lausanne, Switzerland, 100–105.
13.
Ragan, R. M., and Duru, J. O.(1972). “Kinematic wave nomograph for times of concentration.”J. Hydr. Div., ASCE, 98(10), 1765–771.
14.
Seelye, E. E. (1968). Design-data book for civil engineers. Vol. 1, John Wiley & Sons, Inc., New York.
15.
Shen, H. W., and Li, R. M.(1973). “Rainfall effect on sheet flow over smooth surface.”J. Hydr. Div., ASCE, 99(5), 771–792.
16.
Singh, V. P. (1988). Hydrologic systems, Vol. 1: Rainfall-runoff modelling. Prentice-Hall, Inc., Englewood Cliffs, N.J.
17.
U.S. Army Corps of Engineers. (1954). Data Rep., Airfield Drain. Investigation. Los Angeles District for the Office of the Chief of Engineers, Washington, D.C.
18.
Wenzel, H. G. (1970). “The effect of raindrop impact and surface roughness on sheet flow.”WRC Res. Rep. No. 34, Water Resources Centre, University of Illinois, Urbana, Ill.
19.
Wong, T. S. W. (1994). “Kinematic wave celerity and time of concentration.”Hydrological Sci. and Technol., 10(1–4), 167–177.
20.
Wong, T. S. W.(1995). “Time of concentration formulae for planes with upstream inflow.”Hydrological Sci. J., Oxford, U.K., 40(5), 663–666.
21.
Wong, T. S. W.(1996). “Time of concentration and peak discharge formulas for planes in series.”J. Irrig. and Drain. Engrg., ASCE, 122(4), 256–258.
22.
Woolhiser, D. A., and Liggett, J. A.(1967). “Unsteady one-dimensional flow over a plane—the rising hydrograph.”Water Resour. Res., 3(3), 753–771.
23.
Yen, B. C. (1982). “Some measures for evaluation and comparison of simulated models.”Proc., 2nd Int. Conf. on Urban Storm Drain., B. C. Yen, ed., Water Resources Publications, Littleton, Colo., 341–349.
24.
Yen, B. C. (1992). “Hydraulic resistance in open channels.”Channel flow resistance: Centennial of Manning's formula, B. C. Yen, ed., Water Resources Publications, Littleton, Colo., 1–135.
25.
Yu, Y. S., and McNown, J. S.(1964). “Runoff from impervious surfaces.”J. Hydr. Res., 2(1), 3–24.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 2 • Issue 3 • July 1997
Pages: 136 - 139
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jul 1, 1997
Published in print: Jul 1997
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