Dust Particle Settling Calculator
Calculate particle settling velocity and time using Stokes' law with Cunningham slip correction.
Inputs
Results
Settling Velocity (mm/s)
7.52
Settling Time (hours)0.11
Particle Reynolds Number0.01
Cunningham Slip Factor1.02
Corrected Velocity (mm/s)7.65
Corrected Settling Time (hours)0.11
How to Use This Calculator
- Enter Particle Diameter (μm), Particle Density (kg/m³), and Room / Settling Height (m).
- Review the Settling Velocity (mm/s) result.
- Use Settling Time (hours) and Particle Reynolds Number to inform your decision.
How the result changes with Particle Diameter (μm)
| Particle Diameter (μm) | Settling Velocity (mm/s) |
|---|---|
| 100 | 752.39 |
| 350 | 9,216.82 |
| 650 | 31,788.63 |
| 900 | 60,943.88 |
What each input means
- Particle Diameter (μm)
- Particle diameter in micrometers. PM2.5 = 2.5 μm, PM10 = 10 μm, pollen ~25 μm, fine sand ~100 μm.
- Particle Density (kg/m³)
- Density of the particle material. Dust/quartz ~2,500,iteite ~5,200, water droplet ~1,000.
- Room / Settling Height (m)
- Height from which the particle settles. Typical room ceiling ~3 m.
What each result means
- Settling Velocity (mm/s)
- Terminal settling velocity from Stokes' law (without slip correction).
- Settling Time (hours)
- Time to settle the full room height at Stokes velocity.
- Particle Reynolds Number
- Re < 1 means Stokes' law is valid for this particle.
- Cunningham Slip Factor
- Correction factor for sub-micron particles (approaches 1.0 for large particles).
- Corrected Velocity (mm/s)
- Settling velocity with Cunningham slip correction applied.
- Corrected Settling Time (hours)
- Settling time with slip correction — more accurate for fine particles.
How this is calculated
Worked example, using the default values
- Identify Input ParametersParticle Diameter (μm) = 10, Particle Density (kg/m³) = 2500, Room / Settling Height (m) = 3 = 3 input(s) provided
- Calculate Settling VelocitySettling Velocity = Number((vs * 1000).toFixed(6))7.523936 = 7.523936
- Calculate Settling TimeSettling Time = settlingTimeSec / 36000.11 = 0.11
- Calculate Particle Reynolds NumberParticle Reynolds Number = Number(re.toFixed(6))0.005092 = 0.005092
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