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Feed Slurry & Batch Settling Parameters

Define plant slurry throughput, solids concentrations, and batch settling test results.

Total volumetric slurry inflow
Inlet solids mass per unit volume (~12 wt%)
Compacted underflow target (~50 wt%)
Tailings=2.7, Ore=3.2-4.5
Standard 1-liter cylinder height (0.36 m)
Derived from cylinder tangent construction
Rake torque scaling constant
Basin vertical sidewall height

Thickener Sizing & Hydraulic Diagnostics

Live calculated basin diameter, area, overflow rate, solids flux, and torque.

Basin Diameter D
0.0 m
0.0 ft (Area: 0 m²)
Solids Loading Rate (SLR)
0.00
t / m²·day (UA: 0.00 m²/t/d)
Surface Overflow Rate (SOR)
0.00
m³ / m²·h (Rise Velocity)
Dry Solids Tonnage
0.0
dry t / h (0 t/day)
Rake Running Torque
0
kNm (0 ft-lbs)
Underflow Slurry Flow
0.0
m³ / h (Overflow: 0 m³/h)
Interactive Circular Thickener Basin Cutaway & Settling Bed Layers

Talmadge-Fitch Method & Sedimentation Derivations

The Talmadge-Fitch analytical method (1955) sizes the minimum cross-sectional area of a continuous thickener from a single graduated cylinder batch settling test:

H_u = H_0 * ( C_0 / C_u ) Area = [ Q_0 * C_0 * t_u ] / [ H_0 * C_u ] = [ M_solids * t_u ] / [ C_0 * H_0 ]

Where:

  • \(H_0\) = Initial height of slurry interface in settling test cylinder (m).
  • \(H_u\) = Equivalent underflow height corresponding to target concentration \(C_u\) (m).
  • \(t_u\) = Critical retention time determined from tangent intersection at \(H_u\) (hours).
  • \(M_{solids}\) = Dry solids mass flow rate: \(M_{solids} = Q_0 \cdot C_0\) (kg/h or t/h).
  • \(D = \sqrt{4 \cdot \text{Area} / \pi}\) = Thickener basin internal diameter (m).

Hydraulic Overflow Rate and Rake Torque Scaling

Q_underflow = ( Q_0 * C_0 ) / C_u Q_overflow = Q_0 - Q_underflow SOR = Q_overflow / Area (m^3 / m^2·h or m/h) SLR = M_solids_tpd / Area (t / m^2·day) Torque = K * D_ft^2 (ft-lbs)

5 Fatal Engineering Traps in Thickener & Clarifier Sizing

1. Exceeding Critical Solids Flux Causing Bed Rise and Slime Carryover

Operating with solids loading rate above the Kynch critical flux limit. Solids arrive at the compression zone faster than the water can escape upward through compacted pore channels. The sludge bed rises rapidly past the feedwell, overflowing hundreds of tons of concentrated solids into the clear water overflow launder and blinding downstream sand filters.

2. Rake Drive Over-Torque Stalling during Underflow Pump Trips

Continuing to feed slurry into the thickener while the underflow pump is stopped. Sludge inventory accumulates and compresses into a concrete-like dense bed. Rake motor torque spikes past 200% of rating, twisting the drive shaft or stripping drive ring gears unless an automated hydraulic rake lifting mechanism raises the blades.

3. Flocculant Over-Dosing ("Fish-Eyes" and Viscous Compression Choking)

Injecting excessive synthetic polyacrylamide flocculant (> 50 g/ton) in a desperate bid to improve water clarity. High polymer dosage creates giant, loose, water-trapping flocs with excessive inter-particle bridging ("fish-eyes"). Instead of compacting, the bed turns into an elastic gel with poor dewatering characteristics, capping underflow density at 35% instead of the 55% target.

4. Un-Level Overflow Weirs Creating Localized High-Velocity V-Notch Channelling

Failing to level perimeter V-notch overflow weirs to within ±2 mm around the entire circumference. Water preferentially rushes toward low spots, generating high local horizontal velocities that pull fine suspended solids across the weir, while 40% of the weir perimeter remains completely dry.

5. Sludge Bed Inversion from Un-Deaerated Feed Slurry Bubbles

Feeding mineral slurries directly from air-sparged flotation cells without a de-aeration chamber. Entrained micro-bubbles adhere to flocculated solids inside the thickener. Instead of settling, aerated sludge cakes float to the surface as thick scum ("bulking"), entirely bypassing gravity sedimentation.

Frequently Asked Questions

How does the Talmadge-Fitch method determine thickener area from a single batch settling test? +
What is the physical difference between Solids Loading Rate (SLR) and Surface Overflow Rate (SOR)? +
How is rake drive torque sized and what does the K-factor represent? +
Why is energy dissipation inside the feedwell essential for high-rate thickeners? +
What causes a thickener to "burp" or invert its sludge bed? +
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