The Flow Rate Equation of Granular Materials from Pyramidal Hoppers

Gravity Flow of Granular Materials in Conical Hoppers

This paper presents an approximate solution to the flow of a cohesionless granular material in a conical hopper. This is a problem which has received considerable attention in the past though much of the work was directed toward developing an empirical relation of the mass flow rate from experimental data (for example (1,211. In the early 1960's Jenike and Johanson [23] applied the basic princi...

Numerical Determination of Flow Corrective Inserts for Granular Materials in Conical Hoppers*

Secondary Circulation in Granular Flow Through Nonaxisymmetric Hoppers

Jenike’s radial solution, widely used in the design of materials-handling equipment, is a similarity solution of steady-state continuum equations for the flow under gravity of granular material through an infinite, right-circular cone. In this paper we study how the geometry of the hopper influences this solution. Using perturbation theory, we compute a first-order correction to the (steady-sta...

Flow of wet granular materials.

The transition from frictional to lubricated flows of a dense suspension of non-Brownian particles is studied. The pertinent parameter characterizing this transition is the Leighton number Le=eta(s)gamma / sigma, the ratio of lubrication to frictional forces. Le defines a critical shear rate below which no steady flow without localization exists. In the frictional regime the shear flow is local...

Similarity solutions for granular flows in hoppers

Similarity solutions for the steady state equations governing flow of granular materials under gravity in a conical or wedge-shaped hopper are constructed. Such solutions can be considered for various plasticity models. Results obtained under the classical Mohr-Coulomb yield condition are compared with those obtained when a von Mises yield condition is imposed. A thorough stability study in the...