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Engineering Tools

Engineering Tools

Lapple Model v1.0 MDSJ Engineering Lab

Cyclone Separator Design Simulator

Accurately calculate pressure drop and d50 cut diameter based on Lapple standard design ratios (High-Efficiency, High-Throughput).

1. System Data

m³/h
kg/m³
g/m³
μm
°C

2. Geometry

mm

Cyclone Performance Results

Live

Cut-point (d50)

0.0 μm Microns

Particle size collected with 50% efficiency.

Pressure Drop (ΔP)

0 Pa (\~0 mmH2O)

Inlet Velocity (Vi)

0.0 m/s

Optimum Range (15-25 m/s)

Est. Outlet Emission

0 mg/m³

Collection efficiency at the entered particle size (dp), via Lapple grade efficiency.

Physical Dimensions

Inlet Height (a) ... mm
Body Diameter (Dc) ... mm
Inlet Width (b) ... mm

Ideal manufacturing dimensions based on your selected Lapple ratio family.

Calculation Method & Formulas (Lapple Model)

  1. Inlet velocity: Vi = Q / (a·b), with inlet dimensions derived from the body diameter per the selected ratio set — High-Efficiency: a=0.5·Dc, b=0.2·Dc; Conventional: b=0.25·Dc; High-Throughput: a=0.75·Dc, b=0.375·Dc.
  2. Cut diameter (Lapple): d50 = √( 9·μ·b / (2π·Ne·Vi·(ρp−ρg)) ), the particle size collected at 50% efficiency; Ne is the effective number of turns, μ the temperature-corrected gas viscosity (Sutherland).
  3. Grade efficiency: η(dp) = 1 / (1 + (d50/dp)²).
  4. Pressure drop: ΔP = ½·ρg·Vi²·NH, where NH = 16·a·b/De² (number of inlet velocity heads).

Worked example (conventional ratios): Q = 10,000 m³/h, Dc = 1.0 m, T = 20 °C, ρp = 2,700 kg/m³ → Vi ≈ 22.2 m/s, NH = 8 → ΔP ≈ 2.4 kPa, d50 ≈ 4.2 µm.

Results are preliminary sizing based on Lapple standard geometry ratios; final design for high-temperature, abrasive or high-load applications should be validated with process data.

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