2022
DOI: 10.1017/jfm.2022.171
|View full text |Cite
|
Sign up to set email alerts
|

Resistance and mobility functions for the near-contact motion of permeable particles

Abstract: A lubrication analysis is presented for the resistances between permeable spherical particles in near contact, $h_0/a\ll 1$ , where $h_0$ is the minimum separation between the particles, and $a=a_1 a_2/(a_1+a_2)$ is the reduced radius. Darcy's law is used to describe the flow inside the permeable particles and no-slip boundary conditions are applied at the particle surfaces. The weak permeability regime $K=k/a^{2} … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1

Citation Types

0
4
0

Year Published

2022
2022
2024
2024

Publication Types

Select...
3

Relationship

1
2

Authors

Journals

citations
Cited by 3 publications
(4 citation statements)
references
References 69 publications
0
4
0
Order By: Relevance
“…The results in figure 5 of Reboucas & Loewenberg (2022) show that the contact value of the transverse relative mobility for permeable particles, B * , has the upper and lower bounds, B(s * eq ) < B * ≤ B( 2), (C43)…”
Section: Appendix a Derivation Of Transport Coefficients In Planar Po...mentioning
confidence: 99%
See 3 more Smart Citations
“…The results in figure 5 of Reboucas & Loewenberg (2022) show that the contact value of the transverse relative mobility for permeable particles, B * , has the upper and lower bounds, B(s * eq ) < B * ≤ B( 2), (C43)…”
Section: Appendix a Derivation Of Transport Coefficients In Planar Po...mentioning
confidence: 99%
“…where B( 2) is the contact value of the hard-sphere mobility function, corresponding to rough particles with tangentially locking particle contacts; the equality holds for κ = 1 because permeability has no effect on the transverse relative mobility for equal-size particles (Reboucas & Loewenberg 2022). The quantity B(s * eq ) corresponds to frictionless contact between particles with equivalent roughness, where s * eq = 2 + δeq with δeq defined by (4.1).…”
Section: Appendix a Derivation Of Transport Coefficients In Planar Po...mentioning
confidence: 99%
See 2 more Smart Citations