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Incomplete self‐similarity and flow velocity in gravel bed channels
Author(s) -
Ferro Vito,
Pecoraro Roberto
Publication year - 2000
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 - 10.1029/2000wr900164
Subject(s) - divergence (linguistics) , similarity (geometry) , flow velocity , flow (mathematics) , mechanics , self similarity , open channel flow , power function , shear velocity , channel (broadcasting) , acoustic doppler velocimetry , mathematics , geology , geotechnical engineering , mathematical analysis , geometry , physics , engineering , computer science , laser doppler velocimetry , philosophy , turbulence , linguistics , blood flow , medicine , electrical engineering , artificial intelligence , image (mathematics)
Velocity measurements, previously carried out using both a miniature current flowmeter and an acoustic Doppler velocimeter, are used to verify the applicability of the incomplete self‐similarity theory to deduce the velocity profile in a gravel bed channel. Then, for the velocity profiles having the maximum value below the free surface and for the S‐shaped profiles, the power velocity distribution is corrected using a new divergence function. For each value of the depth sediment ratio the nondimensional friction factor parameter is calculated by integration of the measured velocity distributions in the different verticals of the cross section. Finally, a semilogarithmic flow resistance equation is empirically deduced.