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Calcimator

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
  1. Enter Particle Diameter (μm), Particle Density (kg/m³), and Room / Settling Height (m).
  2. Review the Settling Velocity (mm/s) result.
  3. 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)
100752.39
3509,216.82
65031,788.63
90060,943.88

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

  1. Identify Input Parameters
    Particle Diameter (μm) = 10, Particle Density (kg/m³) = 2500, Room / Settling Height (m) = 3 = 3 input(s) provided
  2. Calculate Settling Velocity
    Settling Velocity = Number((vs * 1000).toFixed(6))
    7.523936 = 7.523936
  3. Calculate Settling Time
    Settling Time = settlingTimeSec / 3600
    0.11 = 0.11
  4. Calculate Particle Reynolds Number
    Particle Reynolds Number = Number(re.toFixed(6))
    0.005092 = 0.005092

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