Settling Velocity Calculation
Sizing & Calculation

Settling Velocity Calculation

Stokes’ Law and Particle Capture

A particle is captured when its settling velocity exceeds the surface loading rate. Stokes’ law gives the settling velocity for discrete particles.

Settling Velocity Calculation

For discrete, non-flocculating particles in the laminar regime, Stokes’ law relates settling velocity to particle diameter, the density difference between particle and water, gravity and water viscosity.

The design rule is simple: set the surface loading rate below the settling velocity of the smallest particle you must remove, and it will be captured on a plate.

Real wastewater solids often flocculate, settling faster than Stokes predicts — which is why coagulation/flocculation upstream is so effective and why pilot data or R+F experience refines the design.

v_s = g (ρ_p − ρ_w) d² / (18 μ)

Stokes’ settling velocity; d = particle diameter, μ = dynamic viscosity, ρ = densities.

Capture if v_s > SLR

Particles settling faster than the surface loading rate are removed.

Basis

RegimeLaminar (Stokes)
Key DriverParticle diameter²
Temperature EffectVia viscosity μ

Free Sizing Check

Try the interactive Plate Settler Sizing Calculator, or send us your flow and water-quality data for a preliminary sizing at no cost.

Key Considerations

Flocculation

Larger flocs settle much faster — condition solids to raise settling velocity.

Temperature

Cold water is more viscous, slowing settling — derate accordingly.

Design Link

Choose SLR from the target particle’s settling velocity.

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Our engineers will review your application, flow rates, and water quality data to recommend the optimal plate settler configuration.