Slow Motion of a Spherical Particle in a Viscous Fluid Bounded by Two Perpendicular Walls

1976 ◽  
Vol 40 (3) ◽  
pp. 884-890 ◽  
Author(s):  
Osamu Sano ◽  
Hidenori Hasimoto
Keyword(s):  
Viscous Fluid ◽  
Spherical Particle ◽  
Slow Motion

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 Bi-harmonic analysis in a perforated strip

1933 ◽  
Vol 232 (707-720) ◽  
pp. 155-222 ◽  
Keyword(s):  
Viscous Fluid ◽  
Harmonic Analysis ◽  
Biharmonic Equation ◽  
Bending Moment ◽  
Slow Motion ◽  
Special Problem ◽  
Pure Bending ◽  
Special Stress ◽  
Straight Lines

A method of solving the biharmonic equation in a region bounded externally by two parallel straight lines and internally by a circle was given by one of the authors in a recent paper. General formulae were developed, but these were restricted to solutions symmetrical about both co-ordinate axes, and were applied to only one special problem of elasticity. In the present paper the analysis is generalized to include unsymmetrical solutions, and the formulae are developed to a point at which it becomes possible to solve any problem of stress within the specified boundaries. Two important special stress-systems—that corresponding to pure bending-moment, and that giving bending-moment with shear—are worked out in detail. A number of other interesting systems may be discussed by the aid of the results given. In addition, only slight modifications are needed to make the equations applicable to the slow motion of a viscous fluid.

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