Exact solution for the slow motion of a spherical particle in the presence of an interface with slip regime

2021 ◽  
Vol 136 (4) ◽  
Author(s):  
H. H. Sherief ◽  
M. S. Faltas ◽  
Kareem E. Ragab
Keyword(s):  
Exact Solution ◽  
Spherical Particle ◽  
Slow Motion ◽  
Slip Regime

THE SLOW MOTION OF A SPHERICAL PARTICLE IN A CARREAU FLUID

1996 ◽  
Vol 154 (1) ◽  
pp. 203-215 ◽  
Author(s):  
D. RODRIGUE ◽  
D. DE KEE ◽  
C. F. CHAN MAN FONG
Keyword(s):  
Spherical Particle ◽  
Slow Motion ◽  
Carreau Fluid

On the slow motion of two spheres in contact along their line of centres through a viscous fluid

1969 ◽  
Vol 66 (2) ◽  
pp. 407-415 ◽  
Author(s):  
M. B. A. Cooley ◽  
M. E. O'Neill
Keyword(s):  
Exact Solution ◽  
Viscous Fluid ◽  
Stream Function ◽  
Analytic Functions ◽  
Slow Motion ◽  
Range Of Values ◽  
Theoretical Results

An exact solution in terms of analytic functions is given for the Stokes stream function and forces acting on two spheres in contact when the spheres move uniformly with the same velocity along their line of centres. For the case of equal sized spheres, the values of the forces agree with the Faxén limit of the Stimson–Jeffery forces for separated spheres when the minimum clearance between the spheres tends to zero. Numerical values of the forces for arbitrary sized spheres are tabulated and compared with corresponding values when the spheres are separated over a range of values of the minimum clearance. Comparison of the theoretical results with those obtained experimentally for the case of equal sized spheres is also given.

Slow motion of a porous spherical particle with a rigid core in a spherical fluid cavity

Meccanica ◽  
2016 ◽  
Vol 52 (1-2) ◽  
pp. 91-105 ◽  
Author(s):  
Jai Prakash ◽  
G. P. Raja Sekhar
Keyword(s):  
Spherical Particle ◽  
Slow Motion ◽  
Rigid Core ◽  
Spherical Fluid
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