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Mineral processing

Metallurgical and Materials Engineering (B.E./B.Tech) · Extractive metallurgy · free study notes for exams, placements and interviews

In short

Mineral processing (ore dressing, beneficiation) upgrades a run-of-mine ore into a concentrate fit for smelting by physical and physico-chemical means, without changing the chemical identity of the minerals. It is the bridge between mining and extractive metallurgy: an Indian hematite ore at 58% Fe or a lead-zinc ore at 10% Zn cannot be fed to a furnace or leach circuit economically until the gangue is rejected and the size is controlled. Its physics - comminution energy, settling, flotation chemistry and mass balance - is heavily examined in GATE MT, university Extractive Metallurgy papers and the ESE/IBM/PSU technical rounds. Employers who use it daily include NMDC, SAIL, Tata Steel, JSW, Hindustan Zinc, Hindustan Copper, IREL, Coal India's washeries, Vedanta and equipment makers such as Metso, FLSmidth, thyssenkrupp and TRF.

Explained

What mineral processing does, and the idea of liberation

Comminution: crushing and grinding

Sizing: screening and classification

Gravity, magnetic and electrostatic concentration

Froth flotation

Dewatering, tailings, agglomeration and water

Metallurgical accounting, testing and Indian regulation

Key points

Formulas and examples

Reduction ratio R = F/P, or R₈₀ = F₈₀/P₈₀, where F₈₀, P₈₀ = 80% passing size of feed and product (µm or mm)
Rittinger: E = K_R (1/P − 1/F) Kick: E = K_K ln(F/P)
Bond: W = 10 Wi (1/√P₈₀ − 1/√F₈₀), W in kWh/t, Wi in kWh/t, sizes in µm
Mill power = W × throughput (t/h) → kW
Critical speed N_c = 42.3/√(D − d) rpm, with mill internal diameter D and ball diameter d in metres (N_c = (1/2π)√(g/(R − r)) in rev/s)
Screening efficiency E = (Q_u × u)/(Q_f × f), Q = mass flow (t/h), f = fraction undersize in feed, u = fraction undersize in the undersize product
Stokes' law (free settling, Re < 1): v = g d²(ρ_s − ρ_f)/(18 µ), v in m/s, d in m, ρ in kg/m³, µ in Pa·s
Newton's law (turbulent, Re > 1000): v = 1.74 √(g d (ρ_s − ρ_f)/ρ_f)
Concentration criterion CC = (ρ_h − ρ_f)/(ρ_l − ρ_f), densities in kg/m³ or g/cm³
Two-product formula: C/F = (f − t)/(c − t); Recovery R = 100 c(f − t) / [f(c − t)] %
Ratio of concentration K = F/C; Enrichment ratio = c/f; f, c, t = assays of feed, concentrate, tailing (%)
Three-product formula (metals m and n): C₁/F = [(f − t)(n_c₂ − t_n) − (f_n − t_n)(c₂ − t)] / [(c₁ − t)(n_c₂ − t_n) − (n_c₁ − t_n)(c₂ − t)]

Example 1 - Mass balance and recovery (lead-zinc concentrator). Feed 12.0% Zn, concentrate 52.0% Zn, tailing 1.0% Zn; plant feed 3,000 t/day.

Example 2 - Bond's law and mill power. Ore Wi = 14 kWh/t, F₈₀ = 10,000 µm, P₈₀ = 150 µm, throughput 200 t/h.

Example 3 - Critical speed and operating speed. Ball mill internal diameter 3.2 m, top ball size 60 mm.

Example 4 - Free settling by Stokes' law. Quartz particle 50 µm, ρ_s = 2,650 kg/m³, water ρ_f = 1,000 kg/m³, µ = 0.001 Pa·s.

Example 5 - Screening efficiency. Feed 100 t/h containing 40% undersize; undersize product 32 t/h assaying 98% true undersize.

DeviceSeparation basisNormal size rangeTypical Indian use
Jaw / gyratory crusherCompression1,000 → 150 mmROM iron ore, limestone
Ball / SAG millImpact + attrition10 mm → 45 µmBase-metal, iron-ore pellet feed
Vibrating screenSize300 → 0.5 mmSizing lump/fines
HydrocycloneSettling velocity300 → 10 µmGrinding circuit classification
Dense medium cycloneDensity (SG cut)50 → 0.5 mmCoking-coal washeries
SpiralDensity, film flow3 mm → 75 µmBeach sands, iron-ore fines
Shaking tableDensity + size3 mm → 50 µmChromite, tungsten, tin
LIMS drumStrong magnetism10 mm → 20 µmMagnetite, medium recovery
WHIMSWeak magnetism1 mm → 20 µmHematite fines, ilmenite
High-tension rollConductivity0.6 → 0.075 mm (dry)Rutile/zircon/monazite split
Flotation cell/columnSurface hydrophobicity150 → 10 µmPb-Zn, Cu, graphite

Where it is used

Interview questions

Common mistakes

Related topics

Iron making: the blast furnace · Non-ferrous extraction: aluminium, copper and zinc · Metallurgical thermodynamics and kinetics · Hydrometallurgy and leaching · Agglomeration: sintering and pelletisation · Materials characterisation (XRD, SEM and optical microscopy)

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