Stokes' Drag (F = 6πμrv)

F=6πμrvF = 6\pi \mu r v

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At the scale of dust, droplets, and cells, fluids feel like honey: inertia is irrelevant and drag grows linearly with speed, viscosity, and size. This linearity is what gives small particles a terminal settling velocity — the workhorse of sedimentation basins in water treatment, of centrifuge protocols in the lab, and of Millikan's oil-drop experiment, which used Stokes' law to weigh single droplets and thereby measure the charge of the electron.

Stokes' Drag (F = 6πμrv)
F=6πμrvF = 6\pi \mu r v
Where
  • FF= Drag force
  • μ\mu= Dynamic viscosity
  • rr= Sphere radius
  • vv= Speed
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