Minimum channel length for roll-wave generation

The initial phase of roll-wave development is investigated by means of spatial linear stability analysis using the St. Venant equations, subject to a pointwise time-varying oscillating disturbance. The predicted spatial growth is compared with both Vedernikov's results and those computed with a...

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Bibliographic Details
Published inJournal of hydraulic research Vol. 46; no. 1; pp. 73 - 79
Main Authors Di Cristo, C., Iervolino, M., Vacca, A., Zanuttigh, B.
Format Journal Article
LanguageEnglish
Published Delft Taylor & Francis Group 01.01.2008
International Association for Hydraulic Research
Subjects
Earth sciences
Earth, ocean, space
Exact sciences and technology
Hydrology
Hydrology. Hydrogeology
Minimum channel length
roll waves
spatial growth
St. Venant equations
stability analysis
waves
models
roll waves
canals
stability analysis
channels
Minimum channel length
spatial growth
prediction
growth
St. Venant equations
stability
theory
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Summary:The initial phase of roll-wave development is investigated by means of spatial linear stability analysis using the St. Venant equations, subject to a pointwise time-varying oscillating disturbance. The predicted spatial growth is compared with both Vedernikov's results and those computed with a fully non-linear model. It is shown that for large values of the channel slope Vedernikov's theory systematically overpredicts the roll waves spatial growth rate, whereas the present analysis yields significant improvements. A modification of Montuori's criterion for the minimum channel length prediction is finally proposed, which agrees with available experimental data independently of the channel slope.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0022-1686
1814-2079
DOI:10.1080/00221686.2008.9521844