Anisotropic Particle Distribution in Dilute Suspensions of Solid Spheres in Cylindrical Couette Flow

1987 ◽  
Vol 31 (1) ◽  
pp. 95-110 ◽  
Author(s):  
D. M. Husband ◽  
F. Gadala‐Maria
Keyword(s):  
Couette Flow ◽  
Particle Distribution ◽  
Anisotropic Particle ◽  
Cylindrical Couette Flow ◽  
Dilute Suspensions ◽  
Solid Spheres

scholarly journals A frictional Cosserat model for the slow shearing of granular materials

2002 ◽  
Vol 457 ◽  
pp. 377-409 ◽  
Author(s):  
L. SRINIVASA MOHAN ◽  
K. KESAVA RAO ◽  
PRABHU R. NOTT
Keyword(s):  
Angular Velocity ◽  
Granular Material ◽  
Shear Layer ◽  
Granular Materials ◽  
Layer Thickness ◽  
Couette Flow ◽  
Velocity Fields ◽  
Cosserat Continuum ◽  
Cosserat Model ◽  
Cylindrical Couette Flow

A rigid-plastic Cosserat model for slow frictional flow of granular materials, proposed by us in an earlier paper, has been used to analyse plane and cylindrical Couette flow. In this model, the hydrodynamic fields of a classical continuum are supplemented by the couple stress and the intrinsic angular velocity fields. The balance of angular momentum, which is satisfied implicitly in a classical continuum, must be enforced in a Cosserat continuum. As a result, the stress tensor could be asymmetric, and the angular velocity of a material point may differ from half the local vorticity. An important consequence of treating the granular medium as a Cosserat continuum is that it incorporates a material length scale in the model, which is absent in frictional models based on a classical continuum. Further, the Cosserat model allows determination of the velocity fields uniquely in viscometric flows, in contrast to classical frictional models. Experiments on viscometric flows of dense, slowly deforming granular materials indicate that shear is confined to a narrow region, usually a few grain diameters thick, while the remaining material is largely undeformed. This feature is captured by the present model, and the velocity profile predicted for cylindrical Couette flow is in good agreement with reported data. When the walls of the Couette cell are smoother than the granular material, the model predicts that the shear layer thickness is independent of the Couette gap H when the latter is large compared to the grain diameter dp. When the walls are of the same roughness as the granular material, the model predicts that the shear layer thickness varies as (H/dp)1/3 (in the limit H/dp [Gt ] 1) for plane shear under gravity and cylindrical Couette flow.

Cylindrical Couette flow of Laponite dispersions

2018 ◽  
Vol 162 ◽  
pp. 83-89 ◽  
Author(s):  
Marguerite Bienia ◽  
Cyril Danglade ◽  
André Lecomte ◽  
Julien Brevier ◽  
Cécile Pagnoux
Keyword(s):  
Couette Flow ◽  
Cylindrical Couette Flow

Turbulent momentum transfer in two-phase cylindrical Couette flow

AIChE Journal ◽  
1971 ◽  
Vol 17 (2) ◽  
pp. 349-352 ◽  
Author(s):  
Ravi Gandhi ◽  
Joseph Estrin
Keyword(s):  
Momentum Transfer ◽  
Couette Flow ◽  
Two Phase ◽  
Cylindrical Couette Flow ◽  
Turbulent Momentum

THE INFLUENCE OF SLIP AND JUMP BOUNDARY CONDITIONS ON THE CYLINDRICAL COUETTE FLOW

2002 ◽  
Vol 12 (03) ◽  
pp. 445-459 ◽  
Author(s):  
LILIANA M. GRAMANI CUMIN ◽  
GILBERTO M. KREMER ◽  
FELIX SHARIPOV
Keyword(s):  
Angular Velocity ◽  
Boundary Conditions ◽  
Couette Flow ◽  
Rarefied Gas ◽  
Thermodynamic Force ◽  
Heat Conducting ◽  
Field Equations ◽  
Viscous Stress Tensor ◽  
Heat Flux Vector ◽  
Cylindrical Couette Flow

The solution of the field equations of the cylindrical Couette flow problem for a rarefied gas is found when the state of equilibrium between the cylinders is perturbed by the following small thermodynamic forces: (i) a pressure difference; (ii) an angular velocity difference; and (iii) a temperature difference. The flow is analyzed within the framework of continuum mechanics by using the field equations that follow from the balance equations of mass, momentum and energy of a viscous and heat conducting gas. These equations are solved analytically by considering slip and jump boundary conditions. The fields of density, velocity, temperature, heat flux vector and viscous stress tensor are calculated as functions of the Knudsen number and of the angular velocity of the rotating cylinders for each thermodynamic force. The asymptotic behaviors of these fields are compared with those obtained from a kinetic model of the Boltzmann equation. The influence of the slip and jump boundary conditions on the solutions is also discussed.

Experimental Surface Profile of Dense Granular Media in Cylindrical Couette Flow

2011 ◽  
Vol 110-116 ◽  
pp. 776-782
Author(s):  
Arkadeep Kumar
Keyword(s):  
Granular Materials ◽  
Couette Flow ◽  
Granular Media ◽  
Graphical Representation ◽  
Radial Distance ◽  
Surface Profile ◽  
Average Diameter ◽  
Material Surface ◽  
Translation Stage ◽  
Cylindrical Couette Flow

Granular materials have widespread use in the industry. The flow of granular media requires careful studies through experiments to understand the rheology of these complex materials. The present work determines the surface profile of dense granular media subjected to cylindrical Couette flow. A translation stage is used to obtain measurement of depth varying with radial distance. A depth gauge attached to the translation stage is used to measure the surface profile. Glass beads (average diameter 0.8-1 mm) and mustard seeds (average diameter 1.2-1.4 mm) are used as model granular materials. Two different Couette gaps are used (4cm and 3cm). Cylinders with smooth surfaces, as well as coated with emery paper are used. The surface profile varies with material, surface roughness of the cylinders, and the gap between the two cylinders. The comparison of the various cases has been done by graphical representation. The probable reasons for the development of such a surface profile are given.

Cylindrical Couette Flow of a Rarefied Gas

1967 ◽  
Vol 10 (6) ◽  
pp. 1200 ◽  
Author(s):  
Carlo Cercignani
Keyword(s):  
Couette Flow ◽  
Rarefied Gas ◽  
Cylindrical Couette Flow

The flow of suspensions through tubes. III. Collisions of small uniform spheres

1964 ◽  
Vol 282 (1391) ◽  
pp. 569-591 ◽  
Keyword(s):  
Steady State ◽  
Couette Flow ◽  
Poiseuille Flow ◽  
Collision Frequency ◽  
Reynolds Numbers ◽  
Tube Axis ◽  
Rigid Spheres ◽  
Liquid Drops ◽  
Net Migration ◽  
Dilute Suspensions

Two-body interactions of small rigid and deformable spheres in dilute suspensions undergoing Poiseuille flow at Reynolds numbers less than 10 –3 were studied and found to be similar to those previously observed in Couette flow. Two-body collisions between rigid spheres were symmetrical and reversible, the paths of approach and recession being curvilinear and mirror images of one another, except near the wall. The measured collision frequency agreed well with a theory based on rectilinear approach and recession, whereas the measured steady-state number of doublets was twice that predicted by the theory. The discrepancy was in part due to the existence of non-sepa­rating doublets, the orbits of which were also studied. In contrast, collisions between liquid drops were unsymmetrical, thus providing a mechanism for net migration of drops towards the tube axis in addition to the axial migration previously observed with single deformed drops.

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