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
6 - Dimensional Principles
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
Using dimensional principles, three dimensionless variables can be defined for designing a regime channel. These variables contain six characteristic parameters that reflect fluid, sediment, and geometric characteristics of a channel. This chapter discusses the hydraulic geometry of regime channels using these dimensional principles and illustrates the application of these principles to channel design.
Keywords
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- Chapter
- Information
- Handbook of Hydraulic GeometryTheories and Advances, pp. 186 - 209Publisher: Cambridge University PressPrint publication year: 2022
References
Barr, D. I. H. and Herbertson, J. G. (1968). A similitude framework of regime theory. Proceedings, Institution of Civil Engineers, Vol. 41, pp. 761–781.Google Scholar
Chitale, S. Y. (1970). River channel patterns. Journal of Hydraulics Division, ASCE, Vol. 96, No. HY1, pp. 201–221.Google Scholar
Da Silva, A. M. F. and Yalin, M. S. (2017). Fluvial processes. CRC Press, Boca Raton, FL.Google Scholar
Engelund, F. (1966). Hydraulic resistance of alluvial rivers. Journal of Hydraulics Division, ASCE, Vol. 92, No. HY2, pp. 315–326.Google Scholar
Jia, Y. (1990). Minimum Froude number and the equilibrium of alluvial sand rivers. Earth Surface Processes and Landforms, Vol. 15, No. 3, pp. 199–209.Google Scholar
Lei, S. (1992). A regime theory based on the minimization of Froude number. Ph.D. Thesis, Department of Civil Engineering, Queen’s University, Kingston, Canada.Google Scholar
Neill, C. R. (1973). Hydraulic geometry of sand rivers in Alberta. Proceedings of the Hydrology Symposium, Alberta, May.Google Scholar
Parker, G. (1978). Self-formed straight rivers with equilibrium banks and mobile bed: Part I. The sand-silt river. Journal of Fluid Mechanics, Vol. 89, No. 1, pp. 109–125.CrossRefGoogle Scholar
Yalin, M. S. (1977). On the determination of ripple length. Journal of Hydraulics Division, ASCE, Vol. 103, No. HY4, pp. 439–442.Google Scholar
Yalin, M. S. and Ferreira da Silva, A. M. (1997). On the computation of equilibrium channels in cohesionless alluvium. Journal of Hydroscience and Hydraulic Engineering, Vol. 16, No. 2, pp. 1–13.Google Scholar