Paper Info
Title
Singularities of hydrodynamic forces acting on particles in the near-contact regime.
Abstract
We consider a three-dimensional mathematical model of a viscous incompressible fluid in a bounded domain with two rigid particles modeled by spheres. One of the particles moves with prescribed translational and angular velocities, while the second one stays still. The near-contact regime of particles is considered. The hydrodynamic forces exerted on the moving particle exhibit singularity in terms of the small distance d between the particles, and this asymptotic behavior is accurately captured and rigorously justified. It is shown that this singularity is of two dominant orders: O ( d - 1 ) and O ( | log d | ) . Previous investigations on the subject, being mostly formal, demonstrated disparities in the second dominant term of asymptotics of the forces. In contrast, this study presents rigorously justified, clear and concise procedure for the derivation of all asymptotic terms of the hydrodynamic forces.
Year
DOI
Venue
2016
10.1016/j.cam.2016.04.015
J. Computational Applied Mathematics
Keywords
Field
DocType
Lubrication theory,Low Reynolds number,Singular behavior,Hydrodynamic forces
Compressibility,Reynolds number,Mathematical analysis,Lubrication theory,Singularity,SPHERES,Gravitational singularity,Asymptotic analysis,Classical mechanics,Particle,Mathematics,Calculus
Journal
Volume
Issue
ISSN
307
C
0377-0427
Citations 
PageRank 
References 
0
0.34
0
Authors
1
Name
Order
Citations
PageRank
Yuliya Gorb174.02