A Continuum Model for a Chute Flow of Grains
A Continuum Model for a Chute Flow of Grains
复制标题
谷物溜槽流动的连续体模型
DOI：
10.1137/080713057
复制
发表时间：
2008
影响因子：
1.9
通讯作者：
Ellis A
中科院分区：
文献类型：
--
作者：
Ellis A
这篇论文是由食品分拣行业的一个问题引起的，基于与Lighthill-Whitham交通流模型的类比，研究了谷物溜槽流动的连续介质模型的发展。提出了密度和通量之间的基本关系，由于颗粒可以在溜槽中向左和向右移动，因此该关系是多值的。对后续的影响进行了详细讨论。结果首先通过特征线法求解，然后在加入粘性耗散项以平滑不连续后通过解析和数值求解来给出。考虑到粘性耗散项，重新讨论了基本图，并发现有必要在尖点处进行实质性的修改，以允许出现物理上合理的解。如果粘性耗散小，那么粘性效应一般也很小。然而，例外的是冲击，众所周知，粘性具有平滑效应，以及两个新的特征/观测：交叉，允许双向解决方案，以及稳态，仅在粘性情况下存在，并在长时间尺度上出现。
This paper is motivated by a problem from the food-sorting industry and is concerned with the development of a continuum model for a chute flow of grains, based on analogies with the Lighthill–Whitham model of traffic flow. A fundamental relationship between the density and the flux is proposed which is multivalued due to the fact that grains can move leftwards and rightwards across the chute. The subsequent implications are discussed in detail. Results are presented first by solving with a method of characteristics and second by solving analytically and numerically after including a viscous dissipation term to smooth out discontinuities. The fundamental diagram is revisited in view of the viscous dissipation term and a substantial modification at the cusps is found necessary to allow physically sensible solutions to emerge. If the viscous dissipation is small, then in general the viscous effects also are small. Exceptions, however, are shocks, where the viscosity has a smoothing effect, as is well known, and two new features/observations: crossovers, which allow two-way solutions, and steady states, which can exist only in the viscous case and appear over a long time scale.
粒状介质中雪崩的连续描述。
DOI：
--
发表时间：
2000
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
I. Aranson;L. Tsimring
通讯作者：
L. Tsimring
DOI：
--
发表时间：
1995
期刊：
影响因子：
--
作者：
K. Nagel
通讯作者：
K. Nagel
对食品分选过程中谷物的滑槽输送进行建模
DOI：
--
发表时间：
2007
期刊：
影响因子：
--
作者：
A. Ellis
通讯作者：
A. Ellis