Forced flow of granular media: Breakdown of the Beverloo scaling

被引:18
|
作者
Madrid, Marcos A. [1 ]
Darias, J. R. [2 ]
Pugnaloni, Luis A. [1 ]
机构
[1] Univ Tecnol Nacl, CONICET, Fac Reg La Plata, Dept Ingn Mecan, Av 60 Esq 124, RA-1900 La Plata, Buenos Aires, Argentina
[2] Univ Simon Bolivar, Lab Opt & Fluidos, Apartado Postal 89000, Caracas 1080A, Venezuela
关键词
SOLIDS; SAND;
D O I
10.1209/0295-5075/123/14004
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The Beverloo scaling for the gravity flow of granular materials through orifices has two distinct universal features. On the one hand, the flow rate is independent of the height of the granular column. On the other hand, less well-known yet more striking, the flow rate is fairly insensitive to the material properties of the grains (density, Young's modulus, friction coefficient, etc.). We show that both universal features are lost if work is done on the system at a high rate. In contrast to viscous fluids, the flow rate increases during discharge if a constant pressure is applied to the free surface of a granular column. Moreover, the flow rate becomes sensitive to the material properties. Nevertheless, a new universal feature emerges: the dissipated power scaled by the mean pressure and the flow rate follows a master curve for forced and unforced conditions and for all material properties studied. We show that this feature can be explained if the granular flow in the silo is assumed to be a quasistatic shear flow under the mu(I)-rheology. Copyright (C) EPLA, 2018
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页数:6
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