Technical Notes
Dec 15, 2012

Evaluating the Form of the Rational Equation

Publication: Journal of Hydrologic Engineering
Volume 19, Issue 1

Abstract

The Rational method is widely used in the design of hydraulic structures, such as storm sewers and culverts. Many engineers consider the Rational equation a rule-of-thumb method and dismiss it in favor of regional flood-frequency equations. This paper presents a regional flood-frequency analysis of 72 gaged watersheds in Kansas, ranging in size from 0.4476.7km2. The analysis results in regression equations for the 2-year to 100-year peak discharges that are statistically indistinguishable from the Rational equation. The resulting Rational equations explain more of the variance in flood quantiles than the standard form of the USGS regional flood-frequency equations that are used in Kansas.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

The research reported in this paper was funded by the Kansas DOT under K-TRAN grant KU-06-4. This support is gratefully acknowledged. The writers thank two anonymous reviewers and an associate editor who made several insightful recommendations for improving the manuscript.

References

Dooge, J. C. I. (1957). “The Rational method for estimating flood peaks.” Engineering, 184(1), 311–313, 374–377.
Farnsworth, R. K., Thompson, E. S., and Peck, E. L. (1982). “Evaporation atlas for the contiguous 48 United States.”, Silver Spring, MD.
Flynn, K. M., Kirby, W. H., and Hummel, P. R. (2006). User’s manual for program PeakFQ: Annual flood-frequency analysis using bulletin 17B guidelines, USGS, Reston, VA.
Frederick, R. H., Myers, V. A., and Auciello, E. P. (1977). “Five- to 60-minute precipitation frequency for the eastern and central United States.” National Oceanic and Atmospheric Administration (NOAA) Technical Memorandum NWS HYDRO-35, NOAA, Silver Springs, MD.
French, R., Pilgrim, D. H., and Laurenson, E. M. (1974). “Experimental examination of the rational method for small rural catchments.” Civ. Eng. Trans., CE16(2), 95–102.
Hershfield, D. M. (1961). “Rainfall frequency atlas of the United States for durations from 30 minutes to 24 hours and return periods from 1 to 100 years.”, Weather Bureau, Washington, DC.
Hotchkiss, R. H., and Provaznik, M. K. (1995). “Observations on the Rational method C value.” Watershed management: Planning for the 21st century, T. J. Ward, ed., ASCE, Reston, VA, 21–26.
Interagency Advisory Committee on Water Data. (1982). Guidelines for determining flood-flow frequency: Bulletin 17B of the hydrology subcommitee, USGS, Reston, VA.
Kuichling, E. (1889). “The relation between rainfall and the discharge of sewers in populous districts.” Trans. Am. Soc. Civ. Eng., 20(1889), 1–56.
McEnroe, B. M., Young, C. B., and Rome, A. C. (2007). “Flood frequency relationships for small watersheds in Kansas.”, Kansas Department of Transportation, Topeka, KS.
McEnroe, B. M., and Zhao, H. (1999). “Lag times and peak coefficients for rural watersheds in Kansas.”, Kansas Department of Transportation, Topeka, KS.
PeakFQ v. 5.2 [Computer software]. Reston, VA, USGS.
Pilgrim, D. H., and Cordery, I. (1993). “Flood runoff.” Handbook of hydrology, D. R. Maidment, ed., McGraw-Hill, New York, 9.1–9.42.
Rasmussen, P. P., and Perry, C. A. (2000). “Estimation of peak streamflows for unregulated rural streams in Kansas.”, USGS, Reston, VA.
Schaake, J. C., Geyer, J. C., and Knapp, J. W. (1967). “Experimental examination of the Rational method.” J. Hydraul. Div., 93(6), 353–370.
USDA. (1994). “State soil geographic (STATSGO) data base: Data use information.” USDA Miscellaneous Publication No. 1492, U.S. Department of Agriculture, Fort Worth, TX.
Wong, T. S. W. (2002). “Call for awakenings in storm drainage design.” J. Hydrol. Eng., 1–2.
Yen, B. C. (1992). “Preface.” Catchment runoff and Rational formula, B. C. Yen, ed., Water Resources Publications, Littleton, CO, iii–iv.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 19Issue 1January 2014
Pages: 265 - 269

History

Received: Jun 25, 2009
Accepted: Dec 13, 2012
Published online: Dec 15, 2012
Discussion open until: May 15, 2013
Published in print: Jan 1, 2014

Permissions

Request permissions for this article.

Authors

Affiliations

C. Bryan Young [email protected]
M.ASCE
Associate Professor, Dept. of Civil, Environmental, and Architectural Engineering, Univ. of Kansas, 1530 W. 15th St. Room 2150, Lawrence, KS 66045 (corresponding author). E-mail: [email protected]
Bruce M. McEnroe [email protected]
F.ASCE
Professor, Dept. of Civil, Environmental, and Architectural Engineering, Univ. of Kansas, 1530 W. 15th St. Room 2150, Lawrence, KS 66045. E-mail: [email protected]

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share