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.

Minimum channel lengh for roll-wave generation.

DI CRISTO, Cristiana;
2008-01-01

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11580/9836
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