Axisymmetric approach of a solid sphere toward a non-deformable planar slip interface in the normal stagnation flow - development of global rational approximations for resistance coefficients

Nguyen, AV and Evans, GM (2002) Axisymmetric approach of a solid sphere toward a non-deformable planar slip interface in the normal stagnation flow - development of global rational approximations for resistance coefficients. International Journal of Multiphase Flow, 28 8: 1369-1380. doi:10.1016/S0301-9322(02)00025-3


Author Nguyen, AV
Evans, GM
Title Axisymmetric approach of a solid sphere toward a non-deformable planar slip interface in the normal stagnation flow - development of global rational approximations for resistance coefficients
Journal name International Journal of Multiphase Flow   Check publisher's open access policy
ISSN 0301-9322
Publication date 2002-01-01
Year available 2002
Sub-type Article (original research)
DOI 10.1016/S0301-9322(02)00025-3
Open Access Status Not yet assessed
Volume 28
Issue 8
Start page 1369
End page 1380
Total pages 12
Place of publication Oxford
Publisher Pergamon-elsevier Science Ltd
Language eng
Abstract In this paper a model was developed to describe the hydrodynamic force acting on the particle as it approaches a bubble with a mobile surface in an axisymmetric liquid flow. 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 model incorporated a bispherical coordinate system to derive a stream function for the liquid flow disturbed by the particle. The stream function was then used to calculate the hydrodynamic force acting on a particle of radius, R, as a function of the separation distance, H, from the bubble surface. The force equation was related to the modified Stokes equation to obtain an exact numerical solution for the correction factor, f(2). Finally, simplified analytical rational approximations for 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 mineral flotation applications. (C) 2002 Elsevier Science Ltd. All rights reserved.
Keyword Mechanics
drag force
Stokes correction factor
particle-flow interaction
gas-liquid-solid multiphase flow systems
Bubbles
Probability
Flotation
Surfaces
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

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, 21:29:51 EST