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GAS-SOLID CYCLONE HMI
Stairmand / Lapple Design
Lapple & Barth d50 · Leith-Licht grade · Shepherd-Lapple ΔP
1. Geometry Parameters
Geometry Set
Stairmand HE
Lapple Standard
Custom
Body Diameter (Dc)
mm
De / Dc (vortex finder)
St 0.50
a / Dc (inlet height)
St 0.50
b / Dc (inlet width)
St 0.25
S / Dc (VF depth)
St 0.625
h / Dc (cylinder height)
St 1.50
H / Dc (total height)
St 4.00
B / Dc (cone tip)
St 0.375
2. Operating Conditions
Inlet Velocity (Vi)
m/s
Gas Pressure
bar
Temperature
°C
3. Gas Properties
Air
N₂
CH₄ (methane)
CO₂
Custom
—
ρ_g
kg/m³
μ_g
Pa·s
4. Particle Properties
Quartz (2650 kg/m³)
Coal (1400 kg/m³)
FCC Catalyst (1550 kg/m³)
Cement (2900 kg/m³)
Alumina (3970 kg/m³)
Custom
Particle Density (ρp)
kg/m³
5. Computed Dimensions
De
—
a (inlet H)
—
b (inlet W)
—
S (VF depth)
—
h (cyl height)
—
H (total)
—
H_cone
—
B (tip dia)
—
L/D ratio
—
Inlet area
—
Re (inlet)
—
6. Flow Estimates
Q (m³/s)
—
Q (Am³/h)
—
Gas mass flow
—
7. Separation Performance
d50 Lapple
—
d50 Barth
—
d50 Average
—
Effective turns N_e
Sharpness exponent m
Leith-Licht: η(d)=1−exp(−0.693×(d/d50)^m)
8. Pressure Drop & Energy
ΔP Shepherd-Lapple
—
ΔP Casal-Martinez
—
N_H (S-L coeff)
—
Eu (S-L)
—
Shaft power
—
K factor (S-L)
Friction factor f (C-M)
9. Solids Loading
Solids mass flow
kg/s
SLR (solids/gas)
—
Loading regime
—
Muschelknautz factor
—
10. Feed Particle Size Distribution
PSD median
µm
Geometric std dev (σg)
Bulk removal efficiency
—
11. Multi-Stage Cascade
Number of stages
Cascade d50
—
Total ΔP
—
Overall removal
—
12. Multicyclone Arrangement
Number of cyclones (N)
Per-unit Dc
—
Per-unit d50
—
Bundle ΔP
—
13. Turndown Check
Flow fraction
Turndown Vi
—
Turndown d50
—
Turndown ΔP
—
14. Multi-Objective Optimization
Minimize d50 (fixed Q)
Apply Min-d50 Design
Pareto Front: d50 vs ΔP
Apply Selected Point
15. Export
Export YAML Config
Reset to Stairmand HE Defaults
Turndown: d50 & ΔP vs Flow
Scale-Up: d50 vs Dc (fixed ratios)
Pareto Front: d50 vs ΔP
Grade Efficiency Curve