Density Effects in Two-Dimensional Bins

1990 ◽  
Vol 57 (4) ◽  
pp. 1032-1035
Author(s):  
N. P. Kruyt
Keyword(s):  
Granular Material ◽  
Approximate Theory ◽  
Two Dimensional ◽  
Density Effects

Various theories exist for predicting the pressure on the walls of bins filled with granular material. These theories, such as Janssen’s (1895) theory, usually neglect the effect of the compressibility of the granular material, which is relevant for many materials. Here this effect is studied numerically, and the results are compared with a new approximate theory. This comparison shows that the agreement is excellent.

scholarly journals Limiting stress states in granular avalanches

1998 ◽  
Vol 26 ◽  
pp. 272-276 ◽  
Author(s):  
Y.C. Tai ◽  
J.M.N.T. Gray
Keyword(s):  
Stress State ◽  
Numerical Methods ◽  
Granular Material ◽  
Laboratory Experiments ◽  
Complex Geometry ◽  
The Other ◽  
Two Dimensional ◽  
Singular Surfaces ◽  
Rapid Convergence ◽  
Stress States

The Savage-Hutter theory for granular avalanches assumes that the granular material is in either of two limiting stress states, depending on whether the motion is convergent or divergent. At transitions between convergent and divergent regions, a jump in stress occurs, which necessarily implies that there is a jump in the avalanche velocity and/or its thickness. In this paper, a regularizaron scheme is used, which smoothly switches from one stress state to the other, and avoids the generation of such singular surfaces. The resulting algorithm is more stable than previous numerical methods but shocks can still occur during rapid convergence in the run-out zone. Results are presented from two-dimensional calculations on complex geometry which illustrate that some necking features observed in laboratory experiments can be explained by the regularized Savage-Hutter model.

scholarly journals Flows of granular material in two-dimensional channels

2015 ◽  
Vol 98 (1) ◽  
pp. 49-70
Author(s):  
Oliver Bain ◽  
John Billingham ◽  
Paul Houston ◽  
Ian Lowndes
Keyword(s):  
Granular Material ◽  
Two Dimensional

A Simple Approach to an Approximate Two-Dimensional Cascade Theory

1958 ◽  
Vol 25 (4) ◽  
pp. 607-612
Author(s):  
Max J. Schilhansl
Keyword(s):  
Simple Approach ◽  
Geometrical Shape ◽  
Approximate Theory ◽  
Two Dimensional ◽  
Mathematical Methods ◽  
Simple Method ◽  
Sources And Sinks ◽  
Singularity Method ◽  
Two Dimensional Flow ◽  
Stagger Angle

Abstract The following simple approach to an approximate theory of incompressible two-dimensional flow past cascades, Fig. 1, is based on the so-called singularity method, in which the blade sections are replaced by sheets of vortexes, sources and sinks, and the flow induced by these singularities is calculated. The condition that the flow must be tangential to the blade surface, sometimes termed as the tangency condition, leads to a relation between the geometrical shape of the blade sections (camber and thickness), the cascade parameters (solidity and stagger angle), and the singularity distributions along the mean camber lines. As soon as these distributions are known, the pressure distribution and the lift may be determined. The calculation of the velocities at the blades is the most laborious portion of the whole problem. It has been carried out by various authors [1–4], with different mathematical methods. In this paper, a short, simple method of calculating the velocities induced by the singularities will be described. This approach has already been applied by others [5, 6], in less elaborate form.

Numerical Simulation by DDA and the Fabrics Analysis of Two Dimensional Experiment on Coarse Granular Material

2012 ◽  
Vol 170-173 ◽  
pp. 3621-3629
Author(s):  
Pei Xi Guo ◽  
Shao Zhong Lin
Keyword(s):  
Numerical Simulation ◽  
Laboratory Test ◽  
Granular Material ◽  
Simulation Model ◽  
Mechanical Characteristics ◽  
Discontinuous Deformation Analysis ◽  
Deformation Analysis ◽  
Two Dimensional ◽  
Stress Strain ◽  
Discontinuous Deformation

DDA(Discontinuous Deformation Analysis) was used to study the mechanical characteristics of coarse granular material (CGM). The numerical simulation model was found consulting the two Dimensional test of CGM,and the stress-strain curves obtained by the numerical simulation were basically in agreement with the results of laboratory test. It indicates that the numerical simulation is suitable for the mechanical characteristic research of CGM. In addition,the distribution statistic of several fabric elements about interaction between particles was also presented. Some relation between the stress-strain and fabric element change are found after analysis.

Grain Crush and Its Evolution in Granular Material: a Two-Dimensional Distinct Element Model Approach

2004 ◽  
Vol 21 (8) ◽  
pp. 1651-1654 ◽  
Author(s):  
Wang Bao-Shan ◽  
Shi Xing-Jue ◽  
Chen Yong ◽  
Ge Hong-Kui ◽  
Wong Teng-Fong
Keyword(s):  
Granular Material ◽  
Distinct Element ◽  
Element Model ◽  
Two Dimensional ◽  
Distinct Element Model ◽  
Model Approach

scholarly journals Granular Material Flow in Two-Dimensional Hoppers

1978 ◽  
Vol 45 (1) ◽  
pp. 43-50 ◽  
Author(s):  
C. Brennen ◽  
J. C. Pearce
Keyword(s):  
Granular Material ◽  
Material Flow ◽  
Two Dimensional
Sign in / Sign up

Export Citation Format

Share Document