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Reverse-flow cyclone with a tangential slot inlet, for gas–solid separation. The gas describes a descending outer vortex along the cylinder and cone and leaves through the vortex finder in an ascending inner vortex; the particles migrate to the wall under centrifugal force and are discharged at the dust outlet.
Calculation methods
Size a cyclone: body diameter, number of cyclones in parallel, principal dimensions, pressure drop and blower power required to reach a target overall collection efficiency, for a given gas flow, dust concentration and median particle size.
Check a cyclone: overall collection efficiency, cut size, pressure drop and grade efficiency curve of a cyclone of known diameter.
Standard geometries
Geometry
a/D
b/D
De/D
S/D
h/D
H/D
B/D
Stairmand, high efficiency
0.5
0.2
0.5
0.5
1.5
4.0
0.375
Stairmand, high throughput
0.75
0.375
0.75
0.875
1.5
4.0
0.375
Swift, high efficiency
0.44
0.21
0.4
0.5
1.4
3.9
0.4
Swift, general purpose
0.5
0.25
0.5
0.6
1.75
3.75
0.4
Lapple, general purpose
0.5
0.25
0.5
0.625
2.0
4.0
0.25
Peterson & Whitby
0.583
0.208
0.5
0.583
1.333
3.17
0.5
Muschelknautz D
0.52
0.15
0.33
0.89
0.73
2.42
0.55
a, b: inlet height and width; De, S: vortex finder diameter and length; h: cylinder height; H: total height; B: dust outlet diameter. Other proportions may be entered under Custom proportions.
Model
Muschelknautz method (VDI Heat Atlas, L3.4), which accounts for wall friction, the secondary flow along the roof and mass loading. Above the critical load ratio μlim, the excess solids separate at the wall immediately after the inlet; the remainder is classified in the inner vortex:
where μe is the solids load ratio (kg of dust per kg of gas), ηw and ηv the wall and inner-vortex separation efficiencies, Qsec the secondary flow, hs the height of the separation zone below the vortex finder and ui the tangential velocity at its radius. The walls are taken as hydraulically smooth. Every intermediate result is listed in the calculation steps.
Design criteria
Inlet velocity between 15 and 25 m/s and pressure drop up to 3 kPa; both limits may be changed under Design coefficients.
Default properties: air at 20 °C and 1 atm, quartz particles (2650 kg/m³).
The results are model predictions; a final design should be confirmed against manufacturer data or tests.
References
MUSCHELKNAUTZ, U. Cyclones for the separation of solid particles from gases. In: VDI Heat Atlas. 2. ed. Berlin: Springer, 2010. Chapter L3.4.
HOFFMANN, A. C.; STEIN, L. E. Gas Cyclones and Swirl Tubes: Principles, Design and Operation. 2. ed. Berlin: Springer, 2008.
KOCH, W. H.; LICHT, W. New design approach boosts cyclone efficiency. Chemical Engineering, v. 84, n. 24, p. 80-88, 1977.
SCHMID, M. Design and Characterization of Sampling Cyclones. Master's thesis, TU Wien, 2023.