Kostenloser Stokes Settling Rechner
Berechnen Sie den Stokes settling velocity of a particle in a fluid. Kostenloser sedimentation Rechner.
Settling Velocity
0.00898943 m/s
Settling Velocity vs Particle Density
Formel
## Stokes Settling (Low Reynolds Number) Very small particles settle through a fluid at a terminal velocity governed by Stokes' law. ### Formula **v_s = 2 (rho_p - rho_f) g r^2 / (9 mu)** - *rho_p* = particle density - *rho_f* = fluid density - *r* = particle radius - *mu* = dynamic viscosity This applies when Re < 1 (creeping flow regime). Larger particles settle faster because velocity scales as r^2.
Lösungsbeispiel
Sand grain (r = 50 um, rho = 2650 kg/m3) in water.
- 01v_s = 2 * (2650 - 1000) * 9.807 * (5e-5)^2 / (9 * 0.001)
- 02delta_rho = 1650
- 03r^2 = 2.5e-9
- 04v_s = 2 * 1650 * 9.807 * 2.5e-9 / 0.009
- 05v_s = 8.09e-5 / 0.009 = 0.00899 m/s
Häufig Gestellte Fragen
When does Stokes law fail?
When the particle Reynolds number exceeds about 1, inertial effects become important and the drag coefficient no longer scales linearly with velocity.
How does this apply to sedimentation?
Stokes settling governs sedimentation in lakes, blood cell separation in centrifuges, and paint settling in cans.
What about non-spherical particles?
An equivalent-sphere correction factor is applied. Flatter or more irregular particles settle slower than spheres of the same mass.
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