scholarly journals Mobility matrix of a spherical particle translating and rotating in a viscous fluid confined in a spherical cell, and the rate of escape from the cell

2012 ◽  
Vol 136 (5) ◽  
pp. 054703 ◽  
Author(s):  
B. U. Felderhof ◽  
A. Sellier
Keyword(s):  
Viscous Fluid ◽  
Spherical Particle ◽  
Spherical Cell ◽  
Rate Of Escape ◽  
Mobility Matrix

scholarly journals A numerical investigation of non-rotational, rigid spherical particle sedimentation problem in viscous fluid

2002 ◽  
Vol 24 (1) ◽  
pp. 46-50
Author(s):  
Nguyen Hong Phan ◽  
Nguyen Van Diep
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Viscous Fluid ◽  
Spherical Particle ◽  
Diffusion Theory ◽  
Physical Phenomenon ◽  
Continuous Part ◽  
Particle Sedimentation ◽  
Explicit Finite Difference ◽  
Explicit Finite Difference Method

This paper can be considered as continuous part of [1], where the generalized diffusion theory of rigid spherical particle sedimentation in viscous fluid was investigated. Here a numerical solution of non-stationary sedimentation process is obtained by using the explicit finite difference method. The obtained results show that this model can be used for qualitative study of physical phenomenon of sedimentation problem.

scholarly journals Generalized diffusion theory of non-rotational, rigid spherical particle sedimentation in viscous fluid

2001 ◽  
Vol 23 (3) ◽  
pp. 159-166
Author(s):  
Nguyen Hong Phan ◽  
Nguyen Van Diep
Keyword(s):  
Viscous Fluid ◽  
Spherical Particle ◽  
Governing Equation ◽  
Diffusion Theory ◽  
Equation System ◽  
Spherical Particles ◽  
Characteristic Form ◽  
Governing Equations ◽  
Particle Sedimentation ◽  
Mathematical Properties

This paper is devoted to application of Generalized Diffusion Theory for solving a sedimentation problem of rigid spherical particles in viscous fluid. The governing equations have been obtained. It is shown that, in this case the governing equation system is a hyperbolic one, and the equations in the characteristic form have been derived. The mathematical properties of the obtained equation system and the solution for stationary sedimentation where investigated numerically.

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