Lafond Patrick G, Gilmer Matthew W, Koh Carolyn A, Sloan E Dendy, Wu David T, Sum Amadeu K
Center for Hydrate Research, Department of Chemical & Biological Engineering, Colorado School of Mines, 1500 Illinois Street, Golden, Colorado 80401, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Apr;87(4):042204. doi: 10.1103/PhysRevE.87.042204. Epub 2013 Apr 17.
The three-dimensional jamming of neutrally buoyant monodisperse, bidisperse, and tridisperse mixtures of particles flowing through a restriction under fluid flow has been studied. During the transient initial accumulation of particles at the restriction, a low probability of a jamming event is observed, followed by a transition to a steady-state flowing backlog of particles, where the jamming probability per particle reaches a constant. Analogous to the steady-state flow in gravity-driven jams, this results in a geometric distribution describing the number of particles that discharge prior to a jamming event. We develop new models to describe the transition from an accumulation to a steady-state flow, and the jamming probability after the transition has occurred. Predictions of the behavior of the geometric distribution see the log-probability of a jam occurring proportionally to (R(2)(2)-1), where R(2) is the ratio of opening diameter to the second moment number average particle diameter. This behavior is demonstrated to apply to more general restriction shapes, and collapses for all mixture compositions for the restriction sizes tested.
研究了在流体流动下，中性浮力的单分散、双分散和三分散颗粒混合物通过狭窄通道时的三维堵塞情况。在狭窄通道处颗粒的瞬态初始积累过程中，观察到堵塞事件发生的概率较低，随后转变为颗粒的稳态回流积压，此时每个颗粒的堵塞概率达到恒定值。类似于重力驱动堵塞中的稳态流动，这导致了一种几何分布，描述了在堵塞事件之前排出的颗粒数量。我们开发了新的模型来描述从积累到稳态流动的转变，以及转变发生后的堵塞概率。对几何分布行为的预测表明，堵塞发生的对数概率与(R(2)(2)-1)成比例，其中R(2)是开口直径与第二矩数平均颗粒直径的比值。这种行为被证明适用于更一般的狭窄通道形状，并且对于所测试的狭窄通道尺寸的所有混合物组成都适用。
