Volume 6 Water Surface Profiles

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1 A United States Contribution to the International Hydrological Decade HEC-IHD-0600 Hydrologic Engineering Methods For Water Resources Development Volume 6 Water Surface Profiles July 1975 Approved for Public Release. Distribution Unlimited. IHD-6

2 REPORT DOCUMENTATION PAGE Form Approved OMB No Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the date needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA , and to the Office of Management and Budget, Paperwork Reduction Project ( ), Washington, DC AGENCY USE ONLY (Leave blank) 2. REPORT DATE July TITLE AND SUBTITLE Water Surface Profiles 6. AUTHOR(S) William A. Thomas 7. PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES) US Army Corps of Engineers Institute for Water Resources Hydrologic Engineering Center 609 Second Street Davis, CA SPONSORING / MONITORING AGENCY NAME(S) AND ADDRESS(ES) N/A 3. REPORT TYPE AND DATES COVERED IHD Volume 6 5. FUNDING NUMBERS 8. PERFORMING ORGANIZATION REPORT NUMBER IHD SPONSORING / MONITORING AGENCY REPORT NUMBER N/A 11. SUPPLEMENTARY NOTES 12a. DISTRIBUTION / AVAILABILITY STATEMENT Approved for Public Release. Distribution of this document is unlimited. 12b. DISTRIBUTION CODE 13. ABSTRACT (Maximum 200 words) This is Volume 6 of the 12 volume report prepared by the Hydrologic Engineering Center of the U.S. Army Corps of Engineers as a contribution to the International Hydrological Decade. This volume relates the mathematical equations for flow in natural channels to the physical process. The most common method for solving these basic equations, the standard step method, is developed for complex cross sections using techniques which are suitable for both hand and computer calculations. One of the objectives of this volume is to delineate the degree of simplification that is appropriate for analysis of water surface profiles in natural channels. The procedures are illustrated by solving an example problem by manual computations; however, the more common practice in the Corps of Engineers is to utilize electronic computers to calculate water surface profiles. Programs for this purpose are readily available. 14. SUBJECT TERMS International Hydrological Decade, Hydraulics, Hydrologic, Water Resources Development, Free Surface Flow, Computer Modeling 15. NUMBER OF PAGES PRICE CODE 17. SECURITY CLASSIFICATION OF REPORT UNCLASSIFIED 18. SECURITY CLASSIFICATION OF THIS PAGE UNCLASSIFIED 19. SECURITY CLASSIFICATION OF ABSTRACT UNCLASSIFIED 20. LIMITATION OF ABSTRACT UNLIMITED NSN Standard Form 298 (Rev. 2-89) Prescribed by ANSI Std. Z

3 Hydrologic Engineering Methods for Water Resources Development Volume 6 Water Surface Profiles July 1975 US Army Corps of Engineers Institute for Water Resources Hydrologic Engineering Center 609 Second Street Davis, CA (530) (530) FAX IHD-6

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11 Introduction Chapter 1

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17 Chapter 2 Equations for Steady Gradually Varied Flow

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29 Chapter 3 Classification of Open Channel Flow

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65 Chapter 5 Application of the One-Dimensional Energy Equation to Natural Rivers

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103 Chapter 6 Calculating Steady Flow Profiles

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139 Chapter 7 Unsteady Flow In Open Channels

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145 Selected Bibliography

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151 Hydrologic Engineering Methods for Water Resources Development Volume 1 Requirements and General Procedures, 1971 Volume 2 Hydrologic Data Management, 1972 Volume 3 Hydrologic Frequency Analysis, 1975 Volume 4 Hydrograph Analysis, 1973 Volume 5 Hypothetical Floods, 1975 Volume 6 Water Surface Profiles, 1975 Volume 7 Flood Control by Reservoir, 1976 Volume 8 Reservoir Yield, 1975 Volume 9 Reservoir System Analysis for Conservation, 1977 Volume 10 Principles of Groundwater Hydrology, 1972 Volume 11 Water Quality Determinations, 1972 Volume 12 Sediment Transport, 1977

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Comparative Analysis of Flood Routing Methods

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