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.
Titolo: | Roll-waves prediction in dense granular flows |
Autore/i: | Di Cristo C.; Iervolino M.; Vacca A.; ZANUTTIGH, BARBARA |
Autore/i Unibo: | |
Anno: | 2009 |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jhydrol.2009.08.008 |
Abstract: | 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. |
Data prodotto definitivo in UGOV: | 2009-12-26 19:04:21 |
Appare nelle tipologie: | 1.01 Articolo in rivista |