Stokes' Law

📊 advanced

$$F_d = 6\pi \eta r v$$

Force of viscosity on a small sphere moving through a viscous fluid.

Variables & Units

$\eta$

Viscosity

Unit: $Pa \cdot s$

$r$

Radius of sphere

Unit: Meter ($m$)

Key Information

📐 Derived From

Navier-Stokes equations for low Reynolds number.

💡 Example

Terminal velocity of a falling raindrop.

🔧 Applications

Sedimentation and Millikan oil drop experiment.

⚠️ Constraints

Laminar flow; small sphere.

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