Scaling laws in granular flows down a rough plane

2002 ◽  
Vol 14 (1) ◽  
pp. 415-418 ◽  
Author(s):  
B. Andreotti ◽  
A. Daerr ◽  
S. Douady
Keyword(s):  
Scaling Laws ◽  
Granular Flows ◽  
Rough Plane

Nontrivial scaling laws for a block sliding down a rough plane

1996 ◽  
Vol 64 (4) ◽  
pp. 437-439
Author(s):  
V. P. Brito ◽  
M. A. F. Gomes
Keyword(s):  
Scaling Laws ◽  
Rough Plane ◽  
Block Sliding

scholarly journals Scaling Laws for the Slip Velocity in Dense Granular Flows

2012 ◽  
Vol 108 (23) ◽  
Author(s):  
Riccardo Artoni ◽  
Andrea C. Santomaso ◽  
Massimiliano Go’ ◽  
Paolo Canu
Keyword(s):  
Slip Velocity ◽  
Scaling Laws ◽  
Granular Flows ◽  
Dense Granular Flows

Scaling laws for segregation forces in dense sheared granular flows

2016 ◽  
Vol 807 ◽  
Author(s):  
François Guillard ◽  
Yoël Forterre ◽  
Olivier Pouliquen
Keyword(s):  
Large Particle ◽  
Scaling Laws ◽  
Granular Flows ◽  
Optical Tweezer ◽  
Force Measurements ◽  
Empirical Expression ◽  
Negative Segregation ◽  
Flow Parameters ◽  
Particle Size Ratio ◽  
Stress Inhomogeneity

In order to better understand the mechanism governing segregation in dense granular flows, the force experienced by a large particle embedded in a granular flow made of small particles is studied using discrete numerical simulations. Accurate force measurements have been obtained in a large range of flow parameters by trapping the large particle in a harmonic potential well to mimic an optical tweezer. Results show that positive or negative segregation lift forces (perpendicular to the shear) exist depending on the stress inhomogeneity. An empirical expression of the segregation force is proposed as a sum of a term proportional to the gradient of pressure and a term proportional to the gradient of shear stress, which both depend on the local friction and particle size ratio.

Siphon Flows in Stratified Coronal Loops

1994 ◽  
Vol 144 ◽  
pp. 185-187
Author(s):  
S. Orlando ◽  
G. Peres ◽  
S. Serio
Keyword(s):  
Heat Flux ◽  
Scaling Laws ◽  
Flow Model ◽  
Supersonic Flows ◽  
Coronal Loops ◽  
Characteristic Parameters

AbstractWe have developed a detailed siphon flow model for coronal loops. We find scaling laws relating the characteristic parameters of the loop, explore systematically the space of solutions and show that supersonic flows are impossible for realistic values of heat flux at the base of the upflowing leg.

Equilibrium scaling laws for layered spin glasses

1993 ◽  
Vol 3 (10) ◽  
pp. 2041-2062 ◽  
Author(s):  
M. J. Thill ◽  
H. J. Hilhorst
Keyword(s):  
Spin Glasses ◽  
Scaling Laws ◽  
Layered Spin

Analysis of shear bands in slow granular flows using a frictional Cosserat model

2000 ◽  
Vol 627 ◽  
Author(s):  
Prabhu R. Nott ◽  
K. Kesava Rao ◽  
L. Srinivasa Mohan
Keyword(s):  
Scaling Laws ◽  
Shear Bands ◽  
Shear Layers ◽  
Theoretical Description ◽  
Field Variable ◽  
Cosserat Continuum ◽  
Momentum Balance ◽  
Rigid Plastic ◽  
Independent Field ◽  
Cosserat Model

ABSTRACTThe slow flow of granular materials is often marked by the existence of narrow shear layers, adjacent to large regions that suffer little or no deformation. This behaviour, in the regime where shear stress is generated primarily by the frictional interactions between grains, has so far eluded theoretical description. In this paper, we present a rigid-plastic frictional Cosserat model that captures thin shear layers by incorporating a microscopic length scale. We treat the granular medium as a Cosserat continuum, which allows the existence of localised couple stresses and, therefore, the possibility of an asymmetric stress tensor. In addition, the local rotation is an independent field variable and is not necessarily equal to the vorticity. The angular momentum balance, which is implicitly satisfied for a classical continuum, must now be solved in conjunction with the linear momentum balances. We extend the critical state model, used in soil plasticity, for a Cosserat continuum and obtain predictions for flow in plane and cylindrical Couette devices. The velocity profile predicted by our model is in qualitative agreement with available experimental data. In addition, our model can predict scaling laws for the shear layer thickness as a function of the Couette gap, which must be verified in future experiments. Most significantly, our model can determine the velocity field in viscometric flows, which classical plasticity-based model cannot.

Scaling laws of cylindrical shells under lateral pressure

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1669-1671
Author(s):  
A. Tabiei ◽  
J. Sun ◽  
G. J. Simitses
Keyword(s):  
Scaling Laws ◽  
Lateral Pressure ◽  
Cylindrical Shells
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