Cyclone Efficiency

Audit fine-overflow and coarse-underflow recovery from size-class flows and cut flags; distinct from corrected d50.

Description

Size-class flows can distinguish fines recovered to overflow from coarse material recovered to underflow.

Size-class flows can distinguish fines recovered to overflow from coarse material recovered to underflow. Their product is one separation-efficiency convention.^[1]

The tool returns finesToOverflowRecovery, coarseToUnderflowRecovery, separationEfficiency. The computation uses supplied observations and parameters rather than acquiring measurements.

When to use Cyclone Efficiency

Use this for the following task: Audit fine-overflow and coarse-underflow recovery from size-class flows and cut flags; distinct from corrected d50. Prepare observations and calibration parameters on the same unit and reporting basis.

How to use Cyclone Efficiency and understand its results

Prepare the measured quantities and supplied model parameters. Match the units and align paired lists before calculating.
Enter feedClassTonnesPerHour, underflowClassTonnesPerHour, classIsCoarseFlags according to the field table, then run the tool.
Read finesToOverflowRecovery, coarseToUnderflowRecovery, separationEfficiency. Use the calculation below to interpret the selected mean or the model’s signs, units and comparison flags.
Review the supplied assumptions and calibration before comparing or reporting the result.

Input field	Meaning	Value type and bounds	Requirement
feedClassTonnesPerHour	Feed class tonnes per hour	list of number	Required
underflowClassTonnesPerHour	Underflow class tonnes per hour	list of number	Required
classIsCoarseFlags	Class is coarse flags	list of number	Required

Align nonnegative feed and underflow flows with binary coarse flags. Underflow cannot exceed class feed; both total fine feed and total coarse feed must be positive.

fine recovery = fine overflow/fine feed; coarse recovery = coarse underflow/coarse feed; efficiency = fine recovery×coarse recovery

The symbols and boundary conditions refer to the supplied fields and the implementation described above.

Output field	Meaning	Value type
finesToOverflowRecovery	Fines to overflow recovery	number
coarseToUnderflowRecovery	Coarse to underflow recovery	number
separationEfficiency	Separation efficiency	number

json

{
  "input": {
    "feedClassTonnesPerHour": [
      10,
      20,
      30
    ],
    "underflowClassTonnesPerHour": [
      1,
      10,
      27
    ],
    "classIsCoarseFlags": [
      0,
      0,
      1
    ]
  },
  "output": {
    "finesToOverflowRecovery": 0.6333333333333333,
    "coarseToUnderflowRecovery": 0.9,
    "separationEfficiency": 0.57
  }
}

Limitations and assumptions

Class boundaries and flow measurements are supplied. This uncorrected product of recoveries is distinct from water-bypass-corrected cut size and does not quantify measurement uncertainty.

Numerical inputs must be finite. Input-shape and calculation checks do not establish measurement quality or the validity of a supplied calibration.

Alternative or Complementary methods

Choose Cyclone Cut Size D50 when you need its operation: Remove supplied water bypass from measured increasing partition curve and linearly interpolate corrected d50 in size; no extrapolation. Choose Concentration Ratio for the complementary operation: Infer concentrate yield and feed/concentrate mass ratio from a closed two-product assay balance; distinct from measured mass pull and assumes representative dry assays.

Background reference: Introduction to Mineral Processing.

References

Introduction to Mineral Processing — NPTEL, Indian Institute of Technology Kharagpur

Similar or alternative tools

Cyclone Cut Size D50
Remove supplied water bypass from measured increasing partition curve and linearly interpolate corrected d50 in size; no extrapolation.
Concentration Ratio
Infer concentrate yield and feed/concentrate mass ratio from a closed two-product assay balance; distinct from measured mass pull and assumes representative dry assays.