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Downstream hydraulic geometry relations: 1. Theoretical development
Author(s) -
Singh Vijay P.,
Yang Chih Ted,
Deng Z. Q.
Publication year - 2003
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2003wr002484
Subject(s) - stream power , hydraulic jump , energy–depth relationship in a rectangular channel , dissipation , open channel flow , channel (broadcasting) , mechanics , geometry , flow (mathematics) , entropy (arrow of time) , geology , boundary (topology) , geotechnical engineering , mathematics , physics , engineering , geomorphology , mathematical analysis , sediment , thermodynamics , chézy formula , telecommunications
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.