स्टोक्स अवसादन कैलकुलेटरसूत्र

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.

    हल किया गया उदाहरण

    Sand grain (r = 50 um, rho = 2650 kg/m3) in water.

    1. v_s = 2 * (2650 - 1000) * 9.807 * (5e-5)^2 / (9 * 0.001)
    2. delta_rho = 1650
    3. r^2 = 2.5e-9
    4. v_s = 2 * 1650 * 9.807 * 2.5e-9 / 0.009
    5. v_s = 8.09e-5 / 0.009 = 0.00899 m/s