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Received: 2008-10-16

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Crosschecked: 2009-04-23

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Journal of Zhejiang University SCIENCE A 2009 Vol.10 No.5 P.746-757


Theoretical relationships between first flush of roof runoff and influencing factors

Author(s):  Biao WANG, Tian LI

Affiliation(s):  State Key Lab of Pollution Control and Resource Reuse, Tongji University, Shanghai 20092, China

Corresponding email(s):   tianli@mail.tongji.edu.cn

Key Words:  Roof runoff, Kinematic wave equation, Pollutant erosion equation, First flush

Biao WANG, Tian LI. Theoretical relationships between first flush of roof runoff and influencing factors[J]. Journal of Zhejiang University Science A, 2009, 10(5): 746-757.

@article{title="Theoretical relationships between first flush of roof runoff and influencing factors",
author="Biao WANG, Tian LI",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Theoretical relationships between first flush of roof runoff and influencing factors
%A Biao WANG
%A Tian LI
%J Journal of Zhejiang University SCIENCE A
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%N 5
%P 746-757
%@ 1673-565X
%D 2009
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A0820718

T1 - Theoretical relationships between first flush of roof runoff and influencing factors
A1 - Biao WANG
A1 - Tian LI
J0 - Journal of Zhejiang University Science A
VL - 10
IS - 5
SP - 746
EP - 757
%@ 1673-565X
Y1 - 2009
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A0820718

Considering the short length of building roofs, a theoretical analysis of the first flush of roof runoff was conducted based on the kinematic wave and pollutant erosion equations. This mathematical derivation with analytical solutions predicts pollutant mass first flush (MFF), mean concentration of initial runoff (MCIF), mean concentration of roof runoff (MCRR) with diversion of initial portion and residual mass available on the bed surface (RS) after the entire runoff under the condition of constant excess rainfall. And the effects of the associated influencing factors (roof length, roof gradient, roof surface roughness, rainfall intensity, rainfall duration, and erosion coefficients) on them were discussed while the values of parameters referred to the previous studies. The results showed that for roofs whose length is shorter than 20 m, both the increase in roof length and roof gradient and the decrease in roof surface roughness result in larger MFF and MCIF and smaller MCRR and RS, which is beneficial to water reuse and pollution reduction. The theoretical relationship between the first flush and the influencing factors may aid the planning and design of roof in terms of rainwater utilization or diffuse pollution control.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1] Akan, A.O., Schafran, G.C., Pommerenk, P., Harrell, L.J., 2000. Modeling storm-water runoff quantity and quality from marine drydocks. Journal of Environmental Engineering, 126(1):5-11.

[2] Chang, M., McBroom, M.W., Beasley, R.S., 2004. Roofing as a source of nonpoint water pollution. Journal of Environmental Management, 73(4):307-315.

[3] Charbeneau, R.J., Barrett, M.E., 1998. Evaluation of methods for estimating stormwater pollutant loads. Water Environment Research, 70(7):1295-1302.

[4] Cristina, C.M, Sansalone, J.J., 2000. Kinematic wave model of urban pavement rainfall-runoff subject to traffic loadings. Journal of Environmental Engineering, 126(7):629-636.

[5] Cristina, C.M., Sansalone, J.J., 2003. ‘‘First flush,’’ Power law and particle separation diagrams for urban storm-water suspended particulates. Journal of Environmental Engineering, 129(4):298-307.

[6] Förster, J., 1999. Variability of roof runoff quality. Water Science and Technology, 39(5):137-144.

[7] Gupta, K., Saul, A.J., 1996. Specific relationships for the first flush load in combined sewer flows. Water Research, 30(5):1244-1252.

[8] Kang, J.H., Kayhanian, M., Stenstrom, M.K., 2006. Implication of a kinematic wave model for first flush treatment design. Water Research, 40(20):3820-3830.

[9] Lee, J.H., Bang, K.W., Ketchum, L.H., Choe, J.S., Yu, M.J., 2002. First flush analysis of urban storm runoff. The Science of the Total Environment, 293(1-3):163-175.

[10] Ma, M., Khan, S., Li, Y., Kim, L., Ha, S., Lau, S., Kayhanian, M., Stenstrom, M.K., 2002. First Flush Phenomena for Highways: How It Can be Meaningfully Defined. Proceedings of 9th International Conference on Urban Drainage, Portland, Oregon, USA.

[11] Parlange, J.Y., Rose, C.W., Sander, G., 1981. Kinematic flow approximation of runoff on a plane: an exact analytical solution. Journal of Hydrology, 52(1-2):171-176.

[12] Pitt, R., 1987. Small Storm Urban Flow and Particulate Washoff Contributions to Outfall Discharges. PhD Thesis, University of Wisconsin, Madison, WI, USA.

[13] Sansalone, J.J., Cristina, C.M., 2004. First flush concepts for suspended and dissolved solids in small impervious watersheds. Journal of Environmental Engineering, 130(11):1301-1314.

[14] Simmons, G., Hope, V., Lewis, G., Whitmore, J., Gao, W., 2001. Contamination of potable roof-collected rainwater in Auckland, New Zealand. Water Research, 35(6):1518-1524.

[15] Singh, V.P., 1996. Kinematic Wave Modeling in Water Resources: Surface Water Hydrology. Wiley, New York.

[16] Singh, V.P., 2002a. Kinematic wave solutions for pollutant transport by runoff over an impervious plane, with instantaneous or finite-period mixing. Hydrological Processes, 16(9):1831-1863.

[17] Singh, V.P., 2002b. Kinematic wave solutions for pollutant transport over an infiltrating plane with finite-period mixing and mixing zone. Hydrological Processes, 16:2441-2477.

[18] Tomanovic, A., Maksimovic, C., 1996. Improved modeling of suspended solids discharge from asphalt surface during storm event. Water Science and Technology, 33(4-5):363-369.

[19] van Metre, P.C., Mahler, B.J., 2003. The contribution of particles washed from rooftops to contamination loading to urban streams. Chemosphere, 52(10):1727-1741.

[20] Wong, T.S.W., 2008. Effect of channel shape on time of travel and equilibrium detention storage in channel. Journal of Hydrologic Engineering, 13(3):189-196.

[21] Wong, T.S.W., Li, Y., 2000. Determination of equilibrium detention storage for a series of planes. Hydrological Sciences Journal, 45(5):787-790.

[22] Zobrist, J., Müller, S.R., Ammann, A., Bucheli, T.D., Mottier, V., Ochs, M., Schoenenberger, R., Eugster, J., Boller, M., 1999. Quality of roof runoff for groundwater infiltration. Water Research, 34(5):1455-1462.

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