Downstream hydraulic geometry relations: 1. Theoretical development

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Date

2003-12-04

Journal Title

Journal ISSN

Volume Title

Publisher

American Geophysical Union

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.

Keywords

hydraulic geometry, entropy, stream power, minimum energy, dissipation, principle of maximum entropy, hydraulic variables

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.