Book contents
- Handbook of Hydraulic Geometry
- Handbook of Hydraulic Geometry
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Governing Equations
- 3 Regime Theory
- 4 Leopold–Maddock (LM) Theory
- 5 Theory of Minimum Variance
- 6 Dimensional Principles
- 7 Hydrodynamic Theory
- 8 Scaling Theory
- 9 Tractive Force Theory
- 10 Thermodynamic Theory
- 11 Similarity Principle
- 12 Channel Mobility Theory
- 13 Maximum Sediment Discharge and Froude Number Hypothesis
- 14 Principle of Minimum Froude Number
- 15 Hypothesis of Maximum Friction Factor
- 16 Maximum Flow Efficiency Hypothesis
- 17 Principle of Least Action
- 18 Theory of Minimum Energy Dissipation Rate
- 19 Entropy Theory
- 20 Minimum Energy Dissipation and Maximum Entropy Theory
- 21 Theory of Stream Power
- 22 Regional Hydraulic Geometry
- Index
- References
11 - Similarity Principle
Published online by Cambridge University Press: 24 November 2022
Book contents
- Handbook of Hydraulic Geometry
- Handbook of Hydraulic Geometry
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction
- 2 Governing Equations
- 3 Regime Theory
- 4 Leopold–Maddock (LM) Theory
- 5 Theory of Minimum Variance
- 6 Dimensional Principles
- 7 Hydrodynamic Theory
- 8 Scaling Theory
- 9 Tractive Force Theory
- 10 Thermodynamic Theory
- 11 Similarity Principle
- 12 Channel Mobility Theory
- 13 Maximum Sediment Discharge and Froude Number Hypothesis
- 14 Principle of Minimum Froude Number
- 15 Hypothesis of Maximum Friction Factor
- 16 Maximum Flow Efficiency Hypothesis
- 17 Principle of Least Action
- 18 Theory of Minimum Energy Dissipation Rate
- 19 Entropy Theory
- 20 Minimum Energy Dissipation and Maximum Entropy Theory
- 21 Theory of Stream Power
- 22 Regional Hydraulic Geometry
- Index
- References
Summary
The similarity principle is based on the acknowledgment that a river, if left alone for a sufficiently long time with fixed values of water and sediment discharge loads, will adjust its width, depth, slope, and meandering pattern in a certain manner. If the values of water and sediment discharge loads imposed on the river change are different, the adjustment will be made similarly. This chapter derives the hydraulic geometry using this principle of similarity.
- Type
- Chapter
- Information
- Handbook of Hydraulic GeometryTheories and Advances, pp. 338 - 354Publisher: Cambridge University PressPrint publication year: 2022
References
Blench, T. (1966). Mobile-bed fluviology. Dept. Tech. Serv., Tech III Div., University of Alberta, Edmonton.Google Scholar
Einstein, H. A. (1950). The bed-load function for sediment transportation in open channel flows. Technical Bulletin No. 1026, U.S. Department of Agriculture, Washington, DC.Google Scholar
Engelund, F. and Hansen, E. (1967). A monograph on sediment transport in alluvial streams. Technical University of Denmark, Copenhagen.Google Scholar
Guy, H. P., Simons, D. B., and Richardson, E. V. (1966). Summary of alluvial channel data from flume experiments, 1956–1961. U.S. Geological Survey Professional Paper-462-I, Washington, DC.Google Scholar
Hansen, E. (1967). On the formation of meanders as a stability criterion. Basic Research Progress Report No. 13, Hydraulic Laboratory, Technical University of Denmark, Copenhagen.Google Scholar
Nikuradse, J. (1933). Stromunggsgesetze in rauhen Rohren. VDI-Forschungsheft, No. 361.Google Scholar
Rouse, H., editor (1950). Engineering Hydraulics. John Wiley and Sons, New York, pp. 413.Google Scholar