We = ρV²L / σ — ratio of inertial to surface tension forces. Determines whether droplets, bubbles, or free surfaces remain stable or break up.
Fluid Mechanics IITypically droplet or bubble diameter, film thickness, or jet diameter.
Weber number:
Regime classification (liquid drops in gas):
| We range | Behaviour |
|---|---|
| We < 1 | Surface tension dominates — droplets spherical, interface stable |
| 1 – 12 | Competing forces — droplet deforms but may remain intact |
| 12 – 100 | Inertia dominates — bag breakup or stripping (critical We ≈ 12) |
| We > 100 | Catastrophic atomisation — fine droplets, spray formation |
Thresholds are indicative for liquid drops in air. Critical We varies with Ohnesorge number (Oh) and geometry.
Common surface tension values σ (N/m) at 20°C:
| Fluid pair | σ (N/m) |
|---|---|
| Water / air at 20°C | 0.0728 |
| Water / air at 60°C | 0.0663 |
| Ethanol / air | 0.0223 |
| Mercury / air | 0.487 |
| Glycerin / air | 0.0634 |
| Benzene / air | 0.0289 |
| Liquid steel | 1.8 |
Applications:
Where: