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Hydrocyclone Cut Size (d50) & Separation Calculator engineering
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Hydrocyclone Cut Size (d50) & Separation Calculator

Calculate solid-liquid hydrocyclone separation cut point (d50), operating pressure drop, underflow-to-overflow split ratio, and classification sharpness.

Cyclone Body Geometry & Flow

Physical Fluid & Particle Properties

2.65 for sand/silica, 4.2 for heavy mineral ore.

Classification Cut Size

Cut Size (d50)
-- µm
50% separation probability point
95% Removal (d95)
-- µm
Virtually complete capture
Underflow Slurry
-- GPM
-- vol % solids
Overflow (Clarified): -- GPM
Inlet Velocity (vi): -- ft/s
Separation Sharpness: Standard (m ~ 2.5)
Smaller cyclone barrel diameters create intense centrifugal vortex acceleration, dramatically driving cut sizes down into the 5-15 micron range.

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Frequently Asked Questions

What does the cut size (d50) represent in hydrocyclone operation?

The d50 cut point is the particle diameter that has an exact 50% statistical probability of reporting to the heavy underflow and a 50% probability of escaping into the overflow stream. Particles larger than d95 report nearly 100% to the underflow, while particles smaller than d10 escape in the overflow.

How does operating pressure drop affect hydrocyclone separation cut size?

Higher pressure drop (e.g. 25-35 psi vs 10 psi) increases tangential feed slurry entry velocity, creating greater centrifugal G-force acceleration. This forces smaller and finer particles to the cyclone outer wall, sharpening separation and reducing the d50 cut size.

Why are manifolds of dozens of 2-inch or 4-inch cyclones used instead of one 24-inch cyclone?

Cut size d50 scales strongly with cyclone diameter (d50 ~ Dc^0.65). A large 24-inch cyclone may have a coarse cut point of 75-100 microns. To achieve a fine classification of 10 to 15 microns while treating 1,000 GPM, engineers install a radial cluster of twenty 4-inch cyclones operating in parallel.