4.7 Article

Axisymmetric collapses of granular columns

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JOURNAL OF FLUID MECHANICS
卷 508, 期 -, 页码 175-199

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CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0022112004009036

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Experimental observations of the collapse of initially vertical columns of small grains are presented. The experiments were performed mainly with dry grains of salt or sand, with some additional experiments using couscous, sugar or rice. Some of the experimental flows were analysed using high-speed video. There are three different flow regimes, dependent on the value of the aspect ratio a = h(i)/r(i), where h(i) and r(i) are the initial height and radius of the granular column respectively. The differing forms of flow behaviour are described for each regime. In all cases a central, conically sided region of angle approximately 59degrees, corresponding to an aspect ratio of 1.7, remains undisturbed throughout the motion. The main experimental results for the final extent of the deposit and the time for emplacement are systematically collapsed in a quantitative way independent of any friction coefficients. Along with the kinematic data for the rate of spread of the front of the collapsing column, this is interpreted as indicating that frictional effects between individual grains in the bulk of the moving flow only play a role in the last instant of the flow, as it comes to an abrupt halt. For a < 1.7, the measured final runout radius, r(infinity), is related to the initial radius by r(infinity)=r(i)(1+1.24a); while for 1.7

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