Cyclone Separator Calculator
A cyclone with a 0.25 m inlet, 5 effective turns and 15 m/s inlet velocity captures 62.919 % of 10 µm particles, with a cut size near 7.7 µm.
62.919010516973 %
Full answer, then cut to fewer decimals (not rounded):
- 62.919010516973 %
- 62.91901051697 %
- 62.9190105169 %
- 62.919010516 %
- 62.91901051 %
- 62.9190105 %
- 62.919010 %
- 62.91901 %
- 62.9190 %
- 62.919 %
- 62.91 %
- 62.9 %
- Cut size d₅₀ (Lapple)
- 7.676879348 µm
- Ratio d/d₅₀
- 1.30261263
Step-by-step solution
- d₅₀ = √(9μW ÷ (2πNₑVᵢ(ρₚ − ρ_g))) = 7.676879348 µm
- η = 1 ÷ (1 + (d₅₀/d)²) = 62.91901052 %
Cyclone Separator Formula
d₅₀ = √(9μW / (2πNₑVᵢ(ρₚ − ρ_g)))
η = 1/(1 + (d₅₀/d)²) for particle diameter d
Worked Example
A cyclone with 0.25 m inlet, 5 turns, 15 m/s inlet velocity, for 10 µm particles of 1500 kg/m³:
- d₅₀ = √(9μW ÷ (2πNₑVᵢ(ρₚ − ρ_g))) = 7.676879348 µm
- η = 1 ÷ (1 + (d₅₀/d)²) = 62.91901052 %
Ratio d/d₅₀: 1.30261263
GATE tip
Overall efficiency for a size distribution is the mass-weighted sum of fractional efficiencies: Σ mᵢηᵢ. Questions often give a size table.
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Frequently asked questions
What is the cut size?
The particle diameter collected with 50 % efficiency. Larger particles are captured better and smaller ones escape.
How can efficiency be raised?
Higher inlet velocity, a narrower inlet or more turns lower d₅₀, at the cost of pressure drop; multiple small cyclones in parallel do better than one large one.
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures .
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
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APA
Scientific Converters. (2026, October 15). Cyclone Separator Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/cyclone-separator-calculator/
IEEE
Scientific Converters, "Cyclone Separator Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/cyclone-separator-calculator/