Hydraulic theory for a debris flow supported on a collisional shear layer.
Hydraulic theory for a debris flow supported on a collisional shear layer.
复制标题
碰撞剪切层支持的泥石流水力理论。
作者：
J. Jenkins;E. Askari
我们考虑一堆谷物在重力作用下沿着斜坡向下运动.我们假设，这个堆的底部是由一层相对较薄的地毯支撑的，地毯上的颗粒受到强烈的剪切，高度搅动，通过碰撞相互作用。我们采用的平衡定律，本构关系，和边界条件的动力学理论的致密颗粒流和确定之间的关系的剪切应力，正应力，和相对速度的边界在剪切层中的稳定剪切流之间的分析相同的颠簸的边界。这种关系使我们能够关闭控制堆的形状和速度分布在其基础上的演变的水力方程。我们整合所得的方程数值的玻璃球的参数的典型值。(c)1999年美国物理学会。
We consider a heap of grains driven by gravity down an incline. We assume that the heap is supported at its base on a relatively thin carpet of intensely sheared, highly agitated grains that interact through collisions. We adopt the balance laws, constitutive relations, and boundary conditions of a kinetic theory for dense granular flows and determine the relationship between the shear stress, normal stress, and relative velocity of the boundaries in the shear layer in an analysis of a steady shearing flow between identical bumpy boundaries. This relationship permits us to close the hydraulic equations governing the evolution of the shape of the heap and the velocity distribution at its base. We integrate the resulting equations numerically for typical values of the parameters for glass spheres. (c) 1999 American Institute of Physics.