Purifier Stokes Settling Velocity
Settling velocity of a dispersed-water droplet in oil: v = d²·(ρ_w − ρ_o)·g / (18·μ). The basis of centrifugal purifier sizing.
Settling velocity
0.000000m/s
Settling velocity
1.6mm/h
Formula, assumptions, and limits
Stokes' law - for small droplets (Re < 1). Centrifugal purifier increases g-equivalent to ~5000–10000 × gravity, speeding up separation by the same factor. Sigma equivalent area Σ relates settling time in a tube to purifier bowl size.
Symbol legend
| Symbol | Meaning | Unit | Source |
|---|---|---|---|
| Droplet diameter | m | input µm/10^6 | |
| Water and oil densities | kg/m³ | fluid property | |
| Oil dynamic viscosity | Pa·s | ASTM D445 at T |