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Slow motion of a fluid sphere in the vicinity of another sphere or a plane boundary

✍ Scribed by E. Wacholder; D. Weihs

Publisher
Elsevier Science
Year
1972
Tongue
English
Weight
887 KB
Volume
27
Category
Article
ISSN
0009-2509

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✦ Synopsis

Exact solutions of the Stokes flows in and around a spherical fluid particle in the presence of another fluid particle or of a plane surface normal to the settling velocity are obtained using bispherical co-ordinates. Two spheres falling along their line-of-centres were treated as well as cases of a solid plane wall and free surface. For each case, numerical results are presented for the corrections to the drag force obtained from the Hadamard-Rybczynski law. The present corrections are smaller, as a rule, than equivalent existing results for rigid spheres, and tend to these values when the viscosity in the disperse phase tends to infinity.

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