Superlinear Behavior In Vibrated Granular Flow: Relationship Between Flux And The Number Of Holes

The seepage flow of particles in porous media is not only a complicated engineering problem but also a complex physical transport problem. Establishing its clear physical process image is always a difficult scientific research problem. Most of the research on transport of vibration particles is about particles passing through a single hole. The research of particle flow through porous sieve plate is seldom involved. This paper mainly studies the relationship between the seepage flow of the vibrated particles through porous sieve plate, which has different geometric parameters, and the hole number. We defined five parameters: the seepage flow, the hole number on the sieve plate, the distance between hole and hole, the diameter of hole, and the diameter of particle. The experimental results show that the relationship between seepage flow and hole number is not always maintain a simple linear relation, but changes with different aperture diameter. When the D/d is larger(D/d>4), seepage flow linear increases with the increasing of hole number. When the D/d is small(D/d<4), seepage flow power exponentially increases with the increasing of the hole number, which shows super linear rule. We calculated the power index value with different D/d, and found that the closer the hole size and particle diameter, the larger the power index value. The distance between hole and hole and the hole number have a very significant impact on the result. And we experimented with different size of other material particles, such as different size of copper, zirconium oxide and glass ball, which verified the relationship between the seepage flow and the hole number only related to the ratio of pore diameter and particle diameter, which has nothing to do with granular material properties and specific aperture size.