Sliding of fine particles on the slip surface of rising gas bubbles: Resistance of liquid shear flows

Nguyen, A. V. and Jameson, G. J. (2005) Sliding of fine particles on the slip surface of rising gas bubbles: Resistance of liquid shear flows. International Journal of Multiphase Flow, 31 4: 492-513. doi:10.1016/j.ijmultiphaseflow.2005.01.005


Author Nguyen, A. V.
Jameson, G. J.
Title Sliding of fine particles on the slip surface of rising gas bubbles: Resistance of liquid shear flows
Journal name International Journal of Multiphase Flow   Check publisher's open access policy
ISSN 0301-9322
1879-3533
Publication date 2005-04-01
Sub-type Article (original research)
DOI 10.1016/j.ijmultiphaseflow.2005.01.005
Volume 31
Issue 4
Start page 492
End page 513
Total pages 22
Place of publication Oxford, U.K.
Publisher Pergamon-Elsevier Science
Language eng
Subject 09 Engineering
Abstract In this paper a model was developed to describe the shear flow resistance force and torque acting on a fine particle as it slides on the slip surface of a rising gas bubble. The shear flow close to the bubble surface was predicted using a Taylor series and the numerical data obtained from the Navier-Stokes equations as a function of the polar coordinates at the bubble surface, the bubble Reynolds number, and the gas hold-up. The particle size was considered to be sufficiently small relative to the bubble size that the bubble surface could be locally approximated to a planar interface. The Stokes equation for the disturbance shear flows was solved for the velocity components and pressure using series of bispherical coordinates and the boundary conditions at the no-slip particle surface and the slip bubble surface. The solutions for the disturbance flows were then used to calculate the flow resistance force and torque on the particle as a function of the separation distance between the bubble and particle surfaces. The resistance functions were determined by dividing the actual force and torque by the corresponding (Stokes) force and torque in the bulk phase. Finally, numerical and simplified analytical rational approximate solutions for force correction factors for sliding particles as a function of the (whole range of the) separation distance are presented, which are in good agreement with the exact numerical result and can be readily applied to more general modelling of the bubble-particle interactions. (c) 2005 Elsevier Ltd. All rights reserved.
Keyword Mechanics
Drag force and torque
Stokes correction factor
Particle-flow interaction
Bubble-particle interaction
Gas-liquid-solid multiphase flow systems
Slow Viscous Motion
Sphere Parallel
Solid Sphere
Air Bubbles
Plane Wall
Flotation
Coefficients
Collision
Interface
Model
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Chemical Engineering Publications
 
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Created: Wed, 17 Oct 2007, 23:34:25 EST