Abstract
We determine the sedimentation velocity of a periodic array of drops through a viscous Newtonian fluid by extending an earlier analysis for the rigid particles. The results, which are given for the complete range of volume fraction c and the viscosity ratio K for the simple cubic, bodycentered cubic and face-centered cubic arrays, are in excellent agreement with the previously known results for the two limiting cases of the rigid spheres (K=∞) and the spherical bubbles (K=0) for all values of c and with an asymptotic expression for c≪1 for all K.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 542-556 |
| Number of pages | 15 |
| Journal | ZAMP Zeitschrift für angewandte Mathematik und Physik |
| Volume | 38 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 1987 |
ASJC Scopus subject areas
- General Mathematics
- General Physics and Astronomy
- Applied Mathematics