Saturated,collisional flows of spheres over an inclined,erodible bed between vertical sidewalls |
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| Institution: | 1. Department of Civil, Environmental & Mechanical Engineering and CUDAM, University of Trento, via Mesiano 77, Trento 38123, Italy;2. School of Civil & Environmental Engineering, Cornell University, 117 Hollister Hall, Ithaca, NY 14853, USA;1. LUSAC (EA 4253), Université de Caen Basse-Normandie, Site Universitaire, BP 78, 50130 Cherbourg-Octeville, France;2. Hydraulics Laboratory, Department of Civil Engineering, KU Leuven, Kasteelpark Arenberg 40, box 2448, B-3001 Leuven, Belgium;1. Consiglio Nazionale delle Ricerche, Istituto di Ricerca Sulle Acque, Via Salaria km 29.300, 00015 Monterotondo, RM, Italy;2. Dipartimento DICATAM, Università degli Studi di Brescia, Via Branze 43, 25123 Brescia, Italy;3. Consiglio Nazionale delle Ricerche, Istituto di Ricerca Sulle Acque, UOS Brugherio, Via del Mulino, 19, 20861 Brugherio, MB, Italy |
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| Abstract: | We consider a steady, uniform, dense, fully-saturated, gravity-driven, inclined flow of water and identical spherical grains over an erodible bed between parallel, vertical sidewalls. The grains are inelastic and the energy lost in their interaction is also influenced by the fluid viscosity. We use an extension of kinetic theory for dense flows and employ approximate integrations of the momentum and energy balances for the grains in order to obtain analytical expressions for the depth of flow and for the volume flow rate of the mixture as functions of inclination and average concentration. We also predict the range of slopes for which dense, fully-saturated flows are possible. The predictions are in reasonable agreement with already published experimental results. |
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| Keywords: | Debris flow Kinetic theory Granular systems Mixture theory |
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