Roll-waves prediction in dense granular flows

This paper analyses conditions for roll-waves formation in homogeneous granular flows with the aim of predicting their occurrence in finite length channels. With reference to a wide class of constitutive equations of the flowing medium, the response of the linearized one-dimensional flow model to a...

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Bibliographic Details
Published in:Journal of hydrology (Amsterdam) 2009-10, Vol.377 (1), p.50-58
Main Authors: Cristo, Cristiana Di, Iervolino, Michele, Vacca, Andrea, Zanuttigh, Barbara
Format: Article
Language:English
Subjects:
Channel length
Channels
Disturbances
Earth sciences
Earth, ocean, space
Evolution
Exact sciences and technology
Exact solutions
Granular flow
Granular materials
Green’s function
Hydrology
Hydrology. Hydrogeology
Mathematical analysis
Mathematical models
Open channel flow
Roll-waves
Stability
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Summary:This paper analyses conditions for roll-waves formation in homogeneous granular flows with the aim of predicting their occurrence in finite length channels. With reference to a wide class of constitutive equations of the flowing medium, the response of the linearized one-dimensional flow model to a pointwise instantaneous disturbance is studied and a closed form of the Green’s function, in both stable and unstable conditions, is provided. The exponential growth of the disturbance peak is used to predict the spatial evolution of roll-waves in dry flows of dense granular materials and a criterion for the minimum channel length necessary to appreciate roll-wave development is proposed. The comparison among theoretical and experimental data available in the literature appears promising.
ISSN:0022-1694
1879-2707
DOI:10.1016/j.jhydrol.2009.08.008