Kinetic theory of granular shear flow: Constitutive relations for the hard-disk model

1993 ◽  
Vol 71 (1-2) ◽  
pp. 143-162 ◽  
Author(s):  
Sang Rak Kim ◽  
Leslie V. Woodcock
Keyword(s):  
Shear Flow ◽  
Kinetic Theory ◽  
Constitutive Relations ◽  
Hard Disk ◽  
Disk Model ◽  
Granular Shear

Erratum: Effect of Polydispersity on Stresses in Granular Shear Flow [Mat. Res. Soc. Symp. Proc. Vol. 627, BB4.6 (2000)]

2000 ◽  
Vol 627 ◽  
Author(s):  
Richard Clelland ◽  
Christine M. Hrenya
Keyword(s):  
Shear Flow ◽  
Kinetic Theory ◽  
Molecular Dynamic ◽  
Entire Range ◽  
Theory Model ◽  
Molecular Dynamic Simulations ◽  
Simulation Data ◽  
Dynamic Simulations ◽  
Theoretical Predictions ◽  
Granular Shear

In Figure 2 of the aforementioned paper by Alam, Clelland, and Hrenya, the stresses obtained using molecular-dynamic simulations of binary-sized systems were compared to stresses obtained using the kinetic-theory model for binary mixtures developed by Willits and Arnarson (Phys. Fluids, 11, p. 3116, 1999). An error was found in calculations for the Willits and Arnarson theory. Figure 1 (below) shows the corrected theoretical predictions, along with the original simulation data. These corrections result in an improved match between simulations and theory. In particular, the theoretical predictions compare well with the simulation data across the entire range of diameter ratios investigated.

scholarly journals Experimental investigation and kinetic-theory-based model of a rapid granular shear flow

2008 ◽  
Vol 602 ◽  
pp. 63-79 ◽  
Author(s):  
R. D. WILDMAN ◽  
T. W. MARTIN ◽  
J. M. HUNTLEY ◽  
J. T. JENKINS ◽  
H. VISWANATHAN ◽  
...  
Keyword(s):  
Experimental Investigation ◽  
Shear Flow ◽  
Kinetic Theory ◽  
Granular Media ◽  
Constitutive Relations ◽  
Tracer Particle ◽  
Lower Boundary ◽  
Radioactive Tracer ◽  
Dissipative Systems ◽  
Wide Range

An experimental investigation of an idealized rapidly sheared granular flow was performed to test the predictions of a model based on the kinetic theory of dry granular media. Glass ballotini beads were placed in an annular shear cell and the lower boundary rotated to induce a shearing motion in the bed. A single particle was tracked using the positron emission particle tracking (PEPT) technique, a method that determines the location of a particle through the triangulation of gamma photons emitted by a radioactive tracer particle. The packing fraction and velocity fields within the three-dimensional flow were measured and compared to the predictions of a model developed using the conservation and balance equations applicable to dissipative systems, and solved incorporating constitutive relations derived from kinetic theory. The comparison showed that kinetic theory is able to capture the general features of a rapid shear flow reasonably well over a wide range of shear rates and confining pressures.

Shear Flow Analysis of Nanosize Particle Flow Behavior Using Kinetic Theory

2005 ◽  
Vol 277-279 ◽  
pp. 939-944
Author(s):  
Hae Ryung Kim ◽  
Jaihyun Seu ◽  
Hamid Arastoopour
Keyword(s):  
Shear Flow ◽  
Kinetic Theory ◽  
Flow Behavior ◽  
Flow Analysis ◽  
Particle Diameter ◽  
Particle Flow ◽  
Particle Collision ◽  
Simple Shear Flow ◽  
Particle Force ◽  
Nanosize Particle

Nanosize particle flow is significantly affected by inter-particle force. Due to the inter-particle force, the most significant characteristic of nanosize particle flow may become the formation of agglomerates or clusters which considerably affects the flow patterns. The formation of agglomerates or clusters results in a reduction in the number and an increase in the size of particles, both of which directly affect the frequency of inter-particle collisions and, in turn, the particle phase properties such as viscosity and pressure, as well as gas/particle drag force in gas/particle flow systems. In this present work, we focus our attention on the verification of nanosize particle flow behavior due to the formation of agglomerates or clusters under different fluctuation of flow and inelasticity of particle collision. By extending the application of the cohesive model using kinetic theory to nanosize particle flow system, we performed the homogeneous simple shear flow analysis using various fluctuation energy and restitution coefficient. The predicted flow properties, such as particle diameter growth, agreed well with the expected trends.

scholarly journals Planar granular shear flow under external vibration

2017 ◽  
Vol 96 (2) ◽  
Author(s):  
Eric P. Hoppmann ◽  
Brian C. Utter
Keyword(s):  
Shear Flow ◽  
External Vibration ◽  
Granular Shear

scholarly journals A5.3 - Velocity Measurements of Gap Flows at a Computer Hard Disk Model

2011 ◽  
Author(s):  
J. Czarske ◽  
L. Büttner ◽  
K. Shirai ◽  
S. Obi
Keyword(s):  
Hard Disk ◽  
Velocity Measurements ◽  
Disk Model

Diffusion of size bidisperse spheres in dense granular shear flow

2019 ◽  
Vol 99 (3) ◽  
Author(s):  
Ruihuan Cai ◽  
Hongyi Xiao ◽  
Jinyang Zheng ◽  
Yongzhi Zhao
Keyword(s):  
Shear Flow ◽  
Granular Shear
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