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
16 - Maximum Flow Efficiency Hypothesis
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
Design of a stable alluvial channel is based on the hypothesis that the equilibrium state of a channel corresponds to maximum flow. The channel design can then be accomplished by employing the continuity equation, resistance law, sediment transport equation, and the channel cross-section shape. This chapter derives the channel hydraulic geometry for primarily three cross-sections, namely trapezoidal, rectangular, and triangular.
- Type
- Chapter
- Information
- Handbook of Hydraulic GeometryTheories and Advances, pp. 419 - 435Publisher: Cambridge University PressPrint publication year: 2022
References
Chang, H. H. (1979a). Geometry of rivers in regime. Journal of the Hydraulics Division, ASCE, Vol. 105, pp. 691–706.Google Scholar
Chang, H. H. (1979b). Minimum stream power and river channel; patterns. Journal of Hydrology, Vol. 41, pp. 303–327.CrossRefGoogle Scholar
Chang, H. H. (1980a). Stable alluvial canal design. Journal of the Hydraulics Division, ASCE, Vol. 106, pp. 873–891.Google Scholar
Chang, H. H. (1980b). Geometry of gravel streams. Journal of the Hydraulics Division, ASCE, Vol. 106, pp. 1443–1456.Google Scholar
Chang, H. H. (1986). River channel changes: Adjustment of equilibrium. Journal of Hydraulic Engineering, Vol. 112, pp. 43–55.CrossRefGoogle Scholar
Gilbert, G. K. (1914). The transport of debris by running water. U.S. Geological Survey Professional Paper 86, Washington, DC.Google Scholar
Griffith, W. M. (1927). A theory of silt and scour. Proceedings of the Institution of Civil Engineers, London, Vol. 223, pp. 243–263.CrossRefGoogle Scholar
Huang, H. Q. (1996). Discussion of “Alluvial channel geometry: theory and application by Julien and Wargadalam.” Journal of Hydraulic Engineering, Vol. 122, pp. 750–751.CrossRefGoogle Scholar
Huang, H. Q. and Nanson, G. C. (1995). On a multivariate model of channel geometry. Proceedings of the XXVIth Congress of the International Association of Hydraulic Research, Vol. 1, pp. 510–515, Telford.Google Scholar
Huang, H. Q. and Nanson, G. C. (1998). The influence of bank strength on channel geometry. Earth Surface Processes and Landforms, Vol. 23, pp. 865–876.3.0.CO;2-3>CrossRefGoogle Scholar
Huang, H. Q. and Nanson, G. C. (2000). Hydraulic geometry and maximum flow efficiency as products of the principle of least action. Earth Surface Processes and Landforms, Vol. 25, pp. 1–16.Google Scholar
Huang, H. H. and Warner, R. F. (1995). The multivariate controls of hydraulic geometry: A causal investigation in terms of boundary shear distribution. Earth Surface Processes and Landforms, Vol. 20, pp. 115–130.CrossRefGoogle Scholar
Julien, P. Y. and Wargadalam, J. (1995). Alluvial channel geometry: Theory and applications. Journal of Hydraulic Engineering, Vol. 121, pp. 312–325.CrossRefGoogle Scholar
Kirkby, M. J. (1977). Maximum sediment efficiency as a criterion for alluvial channels. In: River Channel Changes, edited by Gregory, K. J., Wiley, Chichester, pp. 429–442.Google Scholar
Lacey, G. (1958). Flow in alluvial channels with sandy mobile beds. Proceedings of the Institution of Civil Engineers, London, Vol. 11, pp. 145–164.Google Scholar
Lane, E. W. (1952). Progress report on results of studies on design of stable channels. Hydraulic Laboratory Report HYD-352, U.S. Bureau of Reclamation, Denver, CO.Google Scholar
Mackin, J. H. (1948). Concept of the graded river. Geological Society of America Bulletin, Vol. 59, pp. 39–64.Google Scholar
Millar, R. G. and Quick, M. C. (1993). The effect of bank stability on geometry of gravel rivers. Journal of Hydraulic Engineering, Vol. 119, pp. 1343–1363.Google Scholar
Pickup, G. (1976). Adjustment of stream channel shape to hydrologic regime. Journal of Hydrology, Vol. 30, pp. 365–373.Google Scholar
Rubey, W. W. (1952). Geology and mineral resources of the Hardin and Brussels Quadrangles (in Illinois). U.S. Geological Survey Professional Paper 218, Washington, DC.Google Scholar
Schumm, S. A. (1960). The shape of alluvial channels in relation to sediment type. Professional Paper vol. 352, US Geological Survey doi:10.3133/pp352b, Washington, DC.Google Scholar
Simons, D. B. and Albertson, M. L. (1960). Uniform water conveyance channels in alluvial materials. Journal of the Hydraulic Division, ASCE, Vol. 86, pp. 33–71.CrossRefGoogle Scholar
White, W. R., Bettes, R. and Paris, E. (1982). Analytical approach to river regime. Journal of the Hydraulics Division, ASCE, Vol. 108, pp. 1179–1193.Google Scholar
Wolman, M. G. and Miller, J. P. (1960). Magnitude and frequency of forces in geomorphic processes. Journal of Geology, Vol. 68, No. 1, pp. 54–74.CrossRefGoogle Scholar