Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-28T20:53:45.135Z Has data issue: false hasContentIssue false

18 - Theory of Minimum Energy Dissipation Rate

Published online by Cambridge University Press:  24 November 2022

Vijay P. Singh
Vijay P. Singh
Affiliation:
Texas A & M University
Get access

Summary

A river constantly adjusts its geometry and morphology in response to the water and sediment load it receives from its watershed and to human activities, such as straightening, dredging, cutoff, levee construction, restoration, and diversion. The adjustment requires dissipation of energy. When the energy dissipation reaches a minimum rate the river tends to reach equilibrium. This chapter discusses the theory of minimum energy dissipation rate for deriving the hydraulic geometry when the river is in equilibrium state.

Keywords

Stream morphologyminimum energy dissipation ratehuman activitiessediment transportbasin dischargeadjustment of river geometry
Type
Chapter
Information
Handbook of Hydraulic Geometry
Theories and Advances
 , pp. 450 - 469
Publisher: Cambridge University Press
Print publication year: 2022

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Blench, T. (1957). Regime Behavior of Canals and Rivers. Butterworths, London.Google Scholar
Friedkin, J. F. (1945). A laboratory study of the meandering of alluvial rivers. U.S. Army Corps of Engineers Waterways Experiment Station, Vicksburg, MS.Google Scholar
Schumm, S. A. (1968). River adjustment to altered hydrologic regime-Murrumbidgee River and paleochannels, Australia. U.S. Geological Survey Professional Paper 598, Washington, DC.Google Scholar
Yang, C. T. (1973). Incipient motion and sediment transport. Journal of the Hydraulics Division, ASCE, Vol. 99, No. HY10, pp. 1697–1704.Google Scholar
Yang, C. T. and Molinas, A. (1982). Sediment transport and unit stream power function. Journal of the Hydraulics Division, ASCE, Vol. 108, No. 6, pp. 774–793.CrossRefGoogle Scholar
Yang, C. T., Song, C. C. S., and Woldenberg, M. J. (1981). Hydraulic geometry and minimum rate of energy dissipation. Water Resources Research, Vol. 17, No. 4, pp. 1014–1018.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

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 Dropbox.

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.

Available formats
×