2016
DOI: 10.1007/s40819-016-0151-1
|View full text |Cite
|
Sign up to set email alerts
|

Slow Steady Rotation of an Approximate Sphere in an Approximate Spherical Container with Slip Surfaces

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4

Citation Types

0
3
0

Year Published

2021
2021
2023
2023

Publication Types

Select...
5
1

Relationship

0
6

Authors

Journals

citations
Cited by 8 publications
(4 citation statements)
references
References 24 publications
0
3
0
Order By: Relevance
“…In many technical applications, slip particles are not isolated. Thus, it is imperative to determine if the attendance of adjoining particles [21,22] or the proximity of confining walls [23][24][25] meaningfully affects the particle movement. Through an exact representation in spherical bipolar coordinates, the axisymmetric slow translation of two slip spherical particles was investigated semi-analytically and numerical results were calculated for the cases of identical spheres with equal magnitude of velocities [26] and arbitrary spheres with arbitrary velocities [27].…”
Section: Introductionmentioning
confidence: 99%
“…In many technical applications, slip particles are not isolated. Thus, it is imperative to determine if the attendance of adjoining particles [21,22] or the proximity of confining walls [23][24][25] meaningfully affects the particle movement. Through an exact representation in spherical bipolar coordinates, the axisymmetric slow translation of two slip spherical particles was investigated semi-analytically and numerical results were calculated for the cases of identical spheres with equal magnitude of velocities [26] and arbitrary spheres with arbitrary velocities [27].…”
Section: Introductionmentioning
confidence: 99%
“…The steady and transient creeping rotations of a spherical particle inside a concentric spherical cavity, where the fluid slips on the particle and cavity surfaces, were analytically studied and explicit formulas for the torque exerted by the fluid on the particle were derived (Keh and Chang 1998, Krishna Prasad et al 2017, Li and Keh 2021. Furthermore, the slow rotations of a slip sphere in an eccentric slip spherical cavity about an axis along or perpendicular to their common diameter Keh 2013, Chou andKeh 2021) and about a diameter lying along the axis of a slip circular cylinder (Lee and Keh 2021b) were semi-analytically examined by using a boundary collocation method.…”
Section: Introductionmentioning
confidence: 99%
“…where b and 1/β w are the radius and slip coefficient, respectively, of the cavity, and this equation reduces to equation (1) as a/b = 0. Subsequently, the slow rotations of a spherical particle about a diameter inside an eccentric or approximate spherical cavity with slip surfaces were analyzed (Faltas and Saad 2012, Lee and Keh 2013, Krishna Prasad et al 2017, Chou and Keh 2021.…”
Section: Introductionmentioning
confidence: 99%