斯托克斯沉降计算器 — 公式
## 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.
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.
计算示例
Sand grain (r = 50 um, rho = 2650 kg/m3) in water.
- v_s = 2 * (2650 - 1000) * 9.807 * (5e-5)^2 / (9 * 0.001)
- delta_rho = 1650
- r^2 = 2.5e-9
- v_s = 2 * 1650 * 9.807 * 2.5e-9 / 0.009
- v_s = 8.09e-5 / 0.009 = 0.00899 m/s