AnythingOnline
⚗️
Dense Medium Separation Ep Calculator engineering
100% Free • No Sign-Up

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

Recommended Tools & Equipment

Tested hardware and components for high reliability

100% Free Tool Zero Sign-Up

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.