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19 - Entropy Theory

Published online by Cambridge University Press:  24 November 2022

Vijay P. Singh
Vijay P. Singh
Affiliation:
Texas A & M University
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Summary

Hydraulic geometry, described by depth, width, velocity, slope, and friction, is determined using three equations of continuity, resistance, and sediment transport and by satisfying the condition of minimum production of entropy in the channel system. This chapter discusses the methodology based on this condition.

Keywords

Continuity equationresistance equationsediment transportminimum entropy productionhydraulic geometry relations
Type
Chapter
Information
Handbook of Hydraulic Geometry
Theories and Advances
 , pp. 470 - 490
Publisher: Cambridge University Press
Print publication year: 2022

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References

Bagnold, R. A. (1960). Sediment discharge and stream power: A preliminary announcement. U.S. Geological Survey, Professional Paper 421.Google Scholar
Cao, S. and Chang, H. (1988). Entropy as a probability concept in energy-gradient distribution. Proceedings. National Congress on Hydraulic Engineering, Colorado Springs, CO, August 8–12, ASCE, New York, pp. 1013–1018.Google Scholar
Jaynes, E. T. (1957a). Information theory and statistical mechanics. Physical Review, Vol. 106, No. 4, pp. 620.Google Scholar
Jaynes, E. T. (1957b). Information theory and statistical mechanics II. Physical Review, Vol. 108, No. 2, pp. 171.Google Scholar
Jaynes, E. T. (1982). On the rationale of maximum-entropy methods. Proceedings of the IEEE, Vol. 70, No. 9, pp. 939–952.CrossRefGoogle Scholar
Leopold, L. B. and Maddock, T. (1953). The hydraulic geometry of stream channels and some physiographic implications. Geological Survey Professional Paper 252, U.S. Geological Survey, Washington, DC.CrossRefGoogle Scholar
Shannon, C. E. (1948). A mathematical theory of communication. The Bell System Technical Journal, Vol. 27, No. 3, pp. 379–423.CrossRefGoogle Scholar
Singh, V. P. (1998). Entropy-Based Parameter Estimation in Hydrology. Kluwer Academic Publishers (now Springer), Dordrecht.Google Scholar

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  • Entropy Theory
  • Vijay P. Singh, Texas A & M University
  • Book: Handbook of Hydraulic Geometry
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781009222136.020
Available formats
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  • Entropy Theory
  • Vijay P. Singh, Texas A & M University
  • Book: Handbook of Hydraulic Geometry
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781009222136.020
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Entropy Theory
  • Vijay P. Singh, Texas A & M University
  • Book: Handbook of Hydraulic Geometry
  • Online publication: 24 November 2022
  • Chapter DOI: https://doi.org/10.1017/9781009222136.020
Available formats
×