Cyclone Separator Calculator
Determine aerodynamic cut-point particle diameter (d50 in microns), overall collection efficiency, inlet velocity, and static pressure drop for cyclone pre-cleaners.
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Cyclone Centrifugal Dust Separation & The Lapple D50 Cut-Point
Reverse-flow cyclone separators use centrifugal force to separate particulate matter from moving airstreams without moving parts or replaceable filter media. Gas enters tangentially at high velocity, spirals down an outer helical vortex toward the cone apex where heavier particles fling against the wall and drop into a dustbin, while clean air spirals up an inner vortex to the clean outlet.
Lapple Model Mathematical Formulation
- Aerodynamic Cut-Point Diameter (d_50):
The particle size collected with exactly 50% efficiency:d_50 = sqrt[ (9 × μ × W) / (2 × π × N_e × V_i × (ρ_p - ρ_g)) ]
WhereWis inlet width,N_eis number of spiral turns (~5.0), andV_iis inlet velocity. - Fractional Collection Efficiency (η_i):
η_i = 1 / [ 1 + (d_50 / d_p)² ] - Cyclone Pressure Drop:
ΔP (inches w.g.) = 0.00296 × ρ_g × (V_i)² × K_H
Where standard Lapple geometry has an inlet head factorK_H ≈ 8.0.
Frequently Asked Questions
What is the d50 cut-point of a cyclone separator?
The d50 cut-point is the aerodynamic particle diameter that the cyclone collects with exactly 50% efficiency. Particles larger than d50 are collected with much higher efficiency (>90%).
Why are cyclones frequently installed upstream of baghouse filters?
Cyclones act as heavy-particle and spark pre-cleaners, capturing 80-95% of large abrasive dust before it reaches the baghouse, extending filter bag lifespan and preventing baghouse fires.
What is the ideal inlet velocity for an industrial cyclone?
The standard recommended inlet velocity is between 3,000 and 4,000 FPM (15 to 20 m/s). Lower speeds reduce centrifugal force, while higher speeds increase pressure drop and wall wear.