ToolnozaMINING TOOL
Hydrocyclone Cut Size Calculator
Find d50 or corrected d50c by log-size interpolation between measured hydrocyclone partition points.
Hydrocyclone Cut Size Calculator
FREE ONLINE TOOLSTEP BY STEP
How to use hydrocyclone cut size calculator
- Check the input units and assumptions.
- Review the result and example.
IN PRACTICE
Example
d1 = 40 µm; E1 = 40%; d2 = 80 µm; E2 = 80%; B = 20% → E1,c = 25%; E2,c = 75%; d50c = 56.57 µm.
GOOD TO KNOW
What if both recoveries lie below 50%?
Choose a larger size class until the selected points bracket the midpoint after correction. The tool rejects extrapolation.
Formula and worked example
Ei,c = 100(Ei − B)/(100 − B); a = (50 − E1,c)/(E2,c − E1,c); d50,c = exp[ln(d1) + a(ln(d2) − ln(d1))].
d1 = 40 µm; E1 = 40%; d2 = 80 µm; E2 = 80%; B = 20% → E1,c = 25%; E2,c = 75%; d50c = 56.57 µm.
How to interpret the result
At d50, half the feed particles in that size class report to the underflow. A corrected cut removes an assumed bypass fraction before locating the midpoint. These are different metrics and should be labeled separately.
The tool interpolates in log particle size and linear recovery. Use nearby size classes around the midpoint; widely separated points give a less reliable estimate. No cut size is inferred from cyclone diameter alone.
Frequently asked questions
What if both recoveries lie below 50%?
Choose a larger size class until the selected points bracket the midpoint after correction. The tool rejects extrapolation.
What assumptions limit this calculation?
Measured-data interpolation, not equipment sizing. Corrected recovery = (raw recovery − bypass)/(100 − bypass) × 100. Both corrected recoveries must bracket 50% and increase with size. Water bypass is an approximation; fish-hook curves require fuller analysis.
How to Calculate Hydrocyclone Cut Size: Formula & Example