Loading…
The hydrodynamic forces on touching spheres along the line of centers exerted by a shear field
The flow near two touching spheres of radius a 1 and a 2 in a general linear flow is considered. It is shown that the force on either sphere along the line of centers ( z direction) is determined by that part of the flow field which is of the form V ∞ = Vi z + G{zi z − 1/2w ∼ i w ∼ } . For a uniform...
Saved in:
| Published in: | Journal of colloid and interface science 1971-01, Vol.36 (1), p.94-96 |
|---|---|
| Main Author: | |
| Format: | Article |
| Language: | English |
| Citations: | Items that this one cites Items that cite this one |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | The flow near two touching spheres of radius a
1 and a
2 in a general linear flow is considered. It is shown that the force on either sphere along the line of centers (
z direction) is determined by that part of the flow field which is of the form
V
∞ = Vi
z + G{zi
z − 1/2w
∼ i
w
∼
}
. For a uniform shear flow G is simply related to the shear rate and doublet orientation. For a freely suspended doublet, the force along the line of centers is
F
2 = 6πμa
1
2Gh · (
a
1
a
2
) = −F
2
, where
h is a tabulated function. It is hoped the results will find application to the analysis of floc stability at high shear rates. |
|---|---|
| ISSN: | 0021-9797 1095-7103 |
| DOI: | 10.1016/0021-9797(71)90244-X |