scholarly journals Chute Flows of Granular Material: Some Computer Simulations

1985 ◽  
Vol 52 (1) ◽  
pp. 172-178 ◽  
Author(s):  
C. S. Campbell ◽  
C. E. Brennen
Keyword(s):  
Computer Simulation ◽  
Kinetic Energy ◽  
Granular Materials ◽  
Granular Temperature ◽  
Two Dimensional ◽  
Field Quantity ◽  
Inclined Plane ◽  
Two Dimensional Flow ◽  
Random Motions ◽  
Theoretical Analyses

A computer simulation has been developed to describe unidirectional flows of granular materials. Results are presented for a simulation of the two-dimensional flow of disks or cylinders down an inclined plane or chute. Velocity and solid fraction profiles were measured from the simulated systems and compared with theoretical analyses and are compared with the limited experimental results now available. The behavior is shown to be critically dependent on a third field quantity—the “granular temperature”—a measure of the kinetic energy contained in the random motions of the particles.

Two-dimensional turbulence above topography

1976 ◽  
Vol 78 (1) ◽  
pp. 129-154 ◽  
Author(s):  
Francis P. Bretherton ◽  
Dale B. Haidvogel
Keyword(s):  
Kinetic Energy ◽  
Large Scale ◽  
Two Dimensional ◽  
Constant Depth ◽  
The North ◽  
Beta Plane ◽  
Two Dimensional Flow ◽  
Large Scale Flow ◽  
Quadratic Integral ◽  
North And South

In a turbulent two-dimensional flow enstrophy systematically cascades to very small scales, at which it is dissipated. The kinetic energy, on the other hand, remains at large scales and the total kinetic energy is constant. Above random topography an initially turbulent flow tends to a steady state with streamlines parallel to contours of constant depth, anticyclonic around a bump. A numerical experiment verifies this prediction. In a closed basin on a beta-plane the solution with minimum enstrophy implies a westward flow in the interior, returning in narrow boundary layers to the north and south. This result is interpreted using a parameterization of the effects of the eddies on the large-scale flow. The numerical solution is in qualitative agreement, but corresponds to a minimum of a more complex measure of the total enstrophy than the usual quadratic integral.

Incremental constitutive relations for granular materials based on micromechanics

1993 ◽  
Vol 441 (1913) ◽  
pp. 433-463 ◽  
Keyword(s):  
Granular Materials ◽  
Constitutive Equations ◽  
Constitutive Relations ◽  
Rate Of Change ◽  
Contact Forces ◽  
Two Dimensional ◽  
Microstructural Parameters ◽  
Two Dimensional Flow ◽  
History Of ◽  
Shearing Deformation

Micromechanically based constitutive relations for two-dimensional flow of granular materials are presented. First, overall stresses are related to the interparticle forces and microstructural parameters. Then, the overall velocity gradient is related to measures of relative sliding and rotation of granules. The notion of the class of granules with continuously evolving distribution of contact normals, is introduced. Simple local constitutive relations are considered for the rate of change of the contact forces, the evolution of the contact normals, the mechanism of local failure, and the density of contacts in a particular class. This leads to macroscopic rate constitutive equations through a Taylor averaging method. Due to nonlinearity of the rate constitutive equations, the response is computed by an incremental procedure. As an illustration, the overall response of a two-dimensional assembly of discs subjected to an overall shearing deformation is determined. In addition, explicit results are presented for the evolution of fabric, contact forces, and the history of active and inactive classes of contacts. The stress-strain relations and the evolution of fabric and contact forces are in qualitative agreement with the observed behaviour of granular materials. In light of these results, the mechanisms of failure and inelastic deformation of dense as well as loose granular materials are discussed.

Simulation on the Flow Field of Centrifugal Pump Based on Fluent

2014 ◽  
Vol 926-930 ◽  
pp. 1743-1746
Author(s):  
An Fu Guo ◽  
Tong Wang ◽  
Ting Ting Jiang ◽  
Yun Ping Hu ◽  
Da Jiang Zhang
Keyword(s):  
Kinetic Energy ◽  
Flow Field ◽  
Energy Distribution ◽  
Turbulent Kinetic Energy ◽  
Centrifugal Pump ◽  
Flow Distribution ◽  
Kinetic Energy Distribution ◽  
Two Dimensional ◽  
Two Dimensional Flow ◽  
Velocity Pressure

In this paper, the software Fluent was employed and the two-dimensional flow fields, such as flow distribution, velocity distribution, pressure distribution, turbulent kinetic energy distribution are obtained. The results show that the flow, velocity, pressure and turbulent kinetic energy distribution are significantly different and asymmetric. The results have referenced significance for design and analysis of the Centrifugal Pump.

Thin-Film Flow of a Power-Law Fluid Down an Inclined Plane

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
A. Ganguly ◽  
M. Reza ◽  
A. S. Gupta
Keyword(s):  
Thin Film ◽  
Power Law ◽  
Film Flow ◽  
Equations Of Motion ◽  
Dimensionless Time ◽  
Two Dimensional ◽  
Thin Film Flow ◽  
Power Law Fluid ◽  
Inclined Plane ◽  
Two Dimensional Flow

An analysis is presented for two-dimensional flow of a thin layer of power-law fluid down an inclined plane. Integration of the equations of motion using lubrication approximations shows that for both pseudoplastic and dilatant fluids, the rate of advance of a blob of fluid of given volume decreases with increasing time. The analysis further reveals that for dimensionless time less than about 0.50, a blob of the fluid (of fixed volume) with given exponent n moves faster than a fluid of same volume with larger n. However, thereafter, a blob of the latter fluid moves faster than the former fluid.

Two-Dimensional Flow of Polymer Solutions Through Porous Media

1999 ◽  
Vol 2 (3) ◽  
pp. 251-262
Author(s):  
P. Gestoso ◽  
A. J. Muller ◽  
A. E. Saez
Keyword(s):  
Porous Media ◽  
Polymer Solutions ◽  
Two Dimensional ◽  
Dimensional Flow ◽  
Two Dimensional Flow
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