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Downstream hydraulic geometry relations: 1. Theoretical development

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Title: Downstream hydraulic geometry relations: 1. Theoretical development
Author: Singh, Vijay P.; Yang, Chih Ted; Deng, Z. Q.
Abstract: In this study, it is hypothesized that (1) the spatial variation of the stream power of a channel for a given discharge is accomplished by the spatial variation in channel form (flow depth and channel width) and hydraulic variables, including energy slope, flow velocity, and friction, and (2) that the change in stream power is distributed among the changes in flow depth, channel width, flow velocity, slope, and friction, depending on the constraints (boundary conditions) the channel has to satisfy. The second hypothesis is a result of the principles of maximum entropy and minimum energy dissipation or its simplified minimum stream power. These two hypotheses lead to four families of downstream hydraulic geometry relations. The conditions under which these families of relations can occur in field are discussed.
Description: An edited version of this paper was published by AGU. Copyright 2003 American Geophysical Union.
Publisher: American Geophysical Union
Subject: hydraulic geometry
entropy
stream power
minimum energy
dissipation
principle of maximum entropy
hydraulic variables
Department: Civil Engineering
Biological and Agricultural Engineering
Civil Engineering
Biological and Agricultural Engineering
URI: http://dx.doi.org/10.1029/2003WR002484
Date: 2003-12-04

Citation

Singh, V. P., C. T. Yang, and Z. Q. Deng (2003), Downstream hydraulic geometry relations: 1. Theoretical development, Water Resources Research, 39(12), doi:10.1029/2003WR002484. To view the published open abstract, go to http://dx.doi.org and enter the DOI.

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