MetPro

Hydrocyclone Sizing Calculator - Plitt Model

Size hydrocyclones with the published Plitt (1976) model: corrected cut size d50c, pressure drop, flow split, sharpness of separation and number of cyclones for the duty.

Methodology & references

This calculator sizes hydrocyclones with the published Plitt (1976) model, using all four of Plitt’s equations: corrected cut size D50c, pressure drop, volumetric flow split S between underflow and overflow, and sharpness of separation m. The corrected efficiency curve is y(d) = 1 − exp(−0.693·(d/D50c)^m), so y(D50c) = 0.5 by construction. The engine carries the Flintoff, Plitt & Turak (1987) viscosity term (µ^0.5). This page fixes viscosity at 1 cP (water), where the term equals 1.

Plitt’s D50c constant is 50.5 with dimensions in cm and flow in L/min. With flow in m³/h, the same equation takes the constant 50.5 / (1000/60)^0.45 = 14.24. The free vortex height h enters at the exponent 0.38 (Plitt 1976). Inputs here are mm and m³/h and are converted internally.

Pressure enters the cut size only through the flow term Q^0.45, exactly as published. The pressure drop is an output of Eq. 2, so the page has no pressure input. The number of cyclones for a duty comes from matching per-unit flow against a table of standard cyclone sizes. The implementation is a single authoritative transcription of the four equations, verified against an independent hand evaluation (15-inch cyclone: D50c = 99.75 µm, ΔP = 170.3 kPa, S = 0.177, m = 2.74).

References

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