Granular Flows: Steady Planar Chute Flow within Slightly Bumpy WallsSource: Journal of Engineering Mechanics:;1995:;Volume ( 121 ):;issue: 003Author:G. C. Pasquarell
DOI: 10.1061/(ASCE)0733-9399(1995)121:3(406)Publisher: American Society of Civil Engineers
Abstract: The Wentzel, Kramers, and Brillouin (WKB) asymptotic approximation is used to produce an analytical solution for the bounded, gravity-driven flow of smooth, uniform disks in the limit where the wall-form roughness is small and slip is large. A unique, steady solution is obtained for all channel slopes, in contrast with previous experiments. However, this apparent contrast can be explained by the fact that the large travel distances required to develop the very rapid flows predicted may exceed the practical limits for experimental observation. The slip speed governs the rate of mass transport, and is shown to be inversely proportional to the wall roughness, and directly proportional to the square root of the channel slope and channel width. The spatial variation in fluctuation speed is primarily governed by the energy dissipative characteristics of the disks. However, the ratio of slip speed to fluctuation speed at the wall is inversely related to both the wall elasticity and wall-form roughness.
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contributor author | G. C. Pasquarell | |
date accessioned | 2017-05-08T22:37:34Z | |
date available | 2017-05-08T22:37:34Z | |
date copyright | March 1995 | |
date issued | 1995 | |
identifier other | %28asce%290733-9399%281995%29121%3A3%28406%29.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/84208 | |
description abstract | The Wentzel, Kramers, and Brillouin (WKB) asymptotic approximation is used to produce an analytical solution for the bounded, gravity-driven flow of smooth, uniform disks in the limit where the wall-form roughness is small and slip is large. A unique, steady solution is obtained for all channel slopes, in contrast with previous experiments. However, this apparent contrast can be explained by the fact that the large travel distances required to develop the very rapid flows predicted may exceed the practical limits for experimental observation. The slip speed governs the rate of mass transport, and is shown to be inversely proportional to the wall roughness, and directly proportional to the square root of the channel slope and channel width. The spatial variation in fluctuation speed is primarily governed by the energy dissipative characteristics of the disks. However, the ratio of slip speed to fluctuation speed at the wall is inversely related to both the wall elasticity and wall-form roughness. | |
publisher | American Society of Civil Engineers | |
title | Granular Flows: Steady Planar Chute Flow within Slightly Bumpy Walls | |
type | Journal Paper | |
journal volume | 121 | |
journal issue | 3 | |
journal title | Journal of Engineering Mechanics | |
identifier doi | 10.1061/(ASCE)0733-9399(1995)121:3(406) | |
tree | Journal of Engineering Mechanics:;1995:;Volume ( 121 ):;issue: 003 | |
contenttype | Fulltext |