Similarity solutions for granular flows in hoppers

نویسندگان

  • Pierre-Alain Gremaud
  • Michael Shearer
چکیده

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 case of Mohr-Coulomb materials, for which several simplifications take place, is proposed.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Instabilities in Granular Flows

The flow and handling of granular materials is of major importance to many industries. Yet despite efforts over several decades, the modeling of such flows has achieved only modest success. Dense gravity-driven flows in hoppers have been often modeled as elastic-plastic continua, for example. In this picture, the granular material flows as a plastic with a frictional yield condition, and deform...

متن کامل

On the computation of steady hopper flows III: Model comparisons

Gravity flows of granular materials through hoppers are considered. For hoppers shaped as general nonaxisymmetric cones, i.e., “pyramids”, the flow inherits some simplified features from the geometry: similarity solutions can be constructed. Using two different plasticity laws, namely Matsuoka-Nakai and von Mises, those solutions are obtained by solving first order nonlinear partial differentia...

متن کامل

Density waves in the flows of granular media.

We study density waves in the flows of granular particles through vertical tubes and hoppers using both analytic methods and molecular dynamics (MD) simulations. We construct equations of motion for quasi one-dimensional systems. The equations, combined with the Bagnold’s law for friction, are used to describe the time evolutions of the density and the velocity fields for narrow tubes and hoppe...

متن کامل

Three-dimensional Modelling of Industrial Granular Flows

The Discrete Element Method (DEM) is attracting increasing interest for the simulation of industrial granular flows. While the majority of previous DEM modelling has considered two-dimensional flows, we present here a series of three-dimensional simulations for a number of important industrial applications. The charge motion in a 5 m diameter ball mill and in a Hicom nutating mill, discharge fr...

متن کامل

The interface between fluid-like and solid-like behaviour in two-dimensional granular flows

The effective phase change from fluid behaviour to solid behaviour, that too often occurs in granular flow and brings with it such unwelcome events as funnel flows in hoppers and clogging of other material handling devices, is studied using a discrete particle computer simulation of a Couette flow with gravity. This simulation exhibits the full range of granular flow behaviour, from a stagnant ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999