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Dense Medium Separation Ep Calculator engineering
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Dense Medium Separation Ep Calculator

Mineral processing & coal beneficiation: Calculate cut point density (ρ₅₀), Ecart Probable Moyen (Ep), imperfection index, and Tromp partition sharpness.

DMS Cyclone Operating Parameters

Magnetite or Ferrosilicon slurry
50% partition density d50
75% probability to sinks
25% probability to sinks
Dry raw ore / coal feed
Mass fraction in (ρ₅₀ ± 0.1)

Separation Efficiency & Tromp Metrics

Ecart Probable (Ep)
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-
Imperfection Index (I)
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Ep / (ρ₅₀ - 1.0)
Cyclone Density Differential (Δρ)
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Cut offset: ρ₅₀ - ρ_med
Separation Sharpness Factor
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Logistic curve slope α
Misplaced Material Estimate
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Expected misplaced tonnes/hour
Washability Difficulty
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Based on NGM index

Frequently Asked Questions

What is Ecart Probable (Ep) in Dense Medium Separation?

Ecart Probable (Ep) is the standard international metric for separation sharpness in gravity concentration. Calculated as (ρ₇₅ - ρ₂₅) / 2 from the Tromp partition curve, an ideal separation has Ep = 0, whereas modern heavy-media cyclones achieve Ep values between 0.020 and 0.045 g/cm³.

Why does a dense medium cyclone cut at a higher density than the feed medium?

Due to centrifugal acceleration inside the cyclone, fine heavy media particles (magnetite or ferrosilicon) concentrate outward toward the underflow cone. This creates a denser internal fluid core than the incoming feed slurry, causing the effective separation cut density (ρ₅₀) to be 0.05 to 0.15 g/cm³ higher than the feed medium density.

What is Near-Gravity Material (NGM) and why is it dangerous?

Near-Gravity Material is the percentage of raw ore with a specific gravity within ±0.10 g/cm³ of the operating separation cut point. If NGM is high (>15–20%), the particles have almost zero buoyant driving force and take longer to separate, leading to misplaced material and extreme sensitivity to media density fluctuations.