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Industrial Gravity Thickener & Clarifier Sizing Calculator

Perform industrial process sizing for gravity thickeners and clarifiers using Coe-Clevenger and Talmage-Fitch settling methods. Calculate Unit Area (UA), basin diameter, solids loading flux, hydraulic rise rate (SOR), rake drive torque, and water recovery.

1. Slurry Feed & Settling Parameters

wt%
wt%
Standard high-rate: 52-62 wt%; Paste thickeners: 65-72 wt%
m/hour
With polymeric flocculation: typically 5 to 15 m/h
kg/m³
ft·lb / ft²
Standard: 35-50; Heavy CCD: 55-75; High-Density Paste: 85-125
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2. Basin Geometry, Hydraulics & Rake Drive

Thickener Basin Diameter ((D))
--
m (-- ft)
Settling Area Required ((A))
--
m² (Unit Area: -- m²/t·d)
Solids Loading Flux ((G_s))
--
t/(m²·d) (-- kg/m²·h)
Surface Overflow Rate (SOR)
--
m/h (-- gpm/ft²)
Clarified Water Overflow Flow
--
m³/h (Recovery: -- %)
Underflow Slurry Flow
--
m³/h (Dens: -- kg/m³)
Rake Operating Torque
--
kN·m (-- k ft·lb)
Rake Drive Motor Power
--
kW (Rake: -- RPM)
Thickening Regime & Structural Status: Evaluating...

Engineering Principles & Continuous Thickener Derivations

Gravity thickeners rely on hindered settling and compressive consolidation to concentrate mineral slurries and reclaim process water for closed-loop plant recycling.

1. Coe & Clevenger / Talmage-Fitch Unit Area

From sedimentation continuity, the required thickener Unit Area (UA) accounts for the limiting solids settling flux:

UA = rac{1}{24} left( rac{1}{C_i} - rac{1}{C_{uf}} ight) rac{1}{v_i} quad [ ext{m}^2 / ( ext{t/d})]

Where (C_i) and (C_{uf}) are solids volume fractions and (v_i) is initial settling velocity. Total required settling area (A = dot{M}_s cdot UA). Basin diameter is (D = sqrt{4 A / pi}).

2. Slurry Volumetric Balance & Water Recovery

The total feed volumetric flow (Q_{feed}) and underflow volumetric flow (Q_{uf}) are calculated from component mass balances:

Q_{feed} = rac{dot{M}_s / 24}{ ho_s (C_{feed}/100)} + rac{(dot{M}_s / 24)(1 - C_{feed}/100)}{ ho_L} quad [ ext{m}^3/ ext{h}] \Q_{uf} = rac{dot{M}_s / 24}{ ho_s (C_{uf}/100)} + rac{(dot{M}_s / 24)(1 - C_{uf}/100)}{ ho_L} quad [ ext{m}^3/ ext{h}] \Q_{overflow} = Q_{feed} - Q_{uf} quad [ ext{m}^3/ ext{h}], quad SOR = rac{Q_{overflow}}{A} quad [ ext{m/h}]

3. AGMA Rake Drive Torque Sizing

Rake drive running torque (T) is scaled quadratically with tank diameter in feet ((D_{ft} = D_m imes 3.28084)):

T_{ftcdot lb} = k_{torque} cdot D_{ft}^2, quad T_{kNcdot m} = T_{ftcdot lb} imes 0.00135582

Rake tip speed is limited to (v_{rake} approx 10 ext{ to }15, ext{m/min}) to prevent shear re-suspension.

5 Fatal Engineering Traps & Industrial Operating Hazards

1. Rake Stalling & Center Drive Pinion Shearing

Allowing thickener inventory to build up past maximum compression height creates an immovable high-yield-stress sludge bed. Without an automated hydraulic rake lift mechanism, drive torque spikes to 150% of rating within minutes, snapping drive gear pinion teeth or twisting the main center shaft.

2. Feedwell Polymer Shear Degradation

High-molecular-weight polyacrylamide flocculant consists of delicate ultra-long polymer chains. Dosing polymer into high-velocity turbulent feed pipes (>1.5 m/s) violently shears the chains in half. Flocculation efficiency drops by 80%, requiring 4x flocculant dosing and causing severe un-flocculated fines carryover into the overflow.

3. Underflow Bed "Doughnut" Island Formation

Operating with slow rake rotation or excessive underflow pump throttling allows dense paste to compact into an immovable ring ("doughnut") surrounding the center cone. The rotating rake blades ride over the top of the island without clearing it, eventually overloading rake arms and halting bed transport.

4. Thermal Density Plunge & Launder Scouring

Introducing feed slurry that is significantly colder (or denser) than the tank liquor creates a downward density current. The heavy stream plunges down the centerwell, scours across the compacted bed surface, and shoots upward along the perimeter wall, dumping clouds of slime directly over the overflow weirs.

5. Clay Slime Viscosity Choking in CCD Circuits

In counter-current decantation (CCD) gold/copper leach circuits, processing ores with high smectite or illite clay content creates high non-Newtonian yield stress in the thickener underflow. Underflow paste cannot flow into the center discharge cone, causing pump cavitation and requiring costly chemical viscosity modifiers.

Frequently Asked Questions & Expert Guidance

How does an industrial gravity thickener dewater slurries and clarify process water? +
A gravity thickener is a continuous sedimentation basin that separates a solid-liquid suspension into a clarified liquid overflow and a concentrated slurry underflow. Dilute feed slurry enters through a central feedwell where it is gently blended with diluted polymeric flocculant (polyacrylamide). The polymer binds microscopic mineral or biological particles into large, rapidly settling "flocs". These flocs settle by gravity through hindered, transition, and compression zones toward the tank floor. Slowly rotating rake arms (turning at 0.02 to 0.1 RPM) fitted with angled blades continuously convey the compacted sludge bed toward a central discharge hopper, where positive displacement pumps remove the thickened paste.
What is the Talmage & Fitch method for determining thickener Unit Area ($UA$)? +
The Talmage-Fitch graphical construction analyzes a single batch cylinder settling curve (suspension height \(H\) vs time \(t\)). A tangent line is drawn at the inflection point (transition to compression zone), intersecting a horizontal line representing the target underflow height \(H_u = H_0 cdot C_0 / C_u\) at time \(t_u\). The required Unit Area (\(UA\))—the surface area required per unit dry solids mass rate—is given by:\n$$UA = \frac{t_u}{C_0 \cdot H_0} \quad [\text{m}^2 / (\text{tonne solids / day})]$$\nTotal thickener area is simply \(A = \dot{M}_{solids} \cdot UA\). This accounts for both hindered sedimentation and slow sludge compaction.
What is the Surface Overflow Rate (SOR) and why is it critical for clarification? +
The Surface Overflow Rate (\(SOR\), also called hydraulic rise rate) is the volumetric overflow water rate divided by total settling area:\n$$SOR = \frac{Q_{overflow}}{A_{basin}} \quad [\text{m}^3/(\text{m}^2\cdot\text{h}) \text{ or m/h}]$$\nTo produce crystal-clear supernatant (typically <50 to 100 NTU turbidity or <20 ppm TSS), the upward velocity of the water rising toward peripheral launder weirs must be strictly less than the settling velocity of un-flocculated fines. For mineral tailings thickeners, \(SOR\) is typically maintained between 1.0 and 3.0 m/h.
How is rake mechanism drive operating torque ($T$) calculated? +
The rake mechanism must overcome immense yield stress and frictional resistance dragging blades through a dense compacted bed of solids. Drive torque is sized using the standardized AGMA diameter-scaling relationship:\n$$T = k_{torque} \cdot D^2 \quad [\text{ft}\cdot\text{lb}] \quad \text{or} \quad T_{SI} = K_{SI} \cdot D^2 \quad [\text{kN}\cdot\text{m}]$$\nWhere \(k_{torque}\) ranges from 20 to 35 for light municipal sludges, 40 to 60 for standard mineral tailings, and 80 to 140 for ultra-high-density paste thickeners. Modern units incorporate hydraulic rake lift mechanisms that automatically elevate the rake arms by 300 to 1000 mm when drive torque exceeds 70% of design rating.
What is the consequence of overdosing or underdosing polymeric flocculant? +
Polymeric flocculant dosing must be precisely controlled (typically 15 to 60 g active polymer per dry tonne of solids): (1) Underdosing: Inadequate bridging fails to capture fine slimes, causing high overflow turbidity and poor settling rates that require colossal thickener basins; and (2) Overdosing: Excessive polymer chains cover all particle surfaces without bridging (steric stabilization), while excess polymer dissolved in water creates severe uncoiled viscous drag that actually hinders bed compaction, producing low underflow densities and blinding downstream filter presses.

Frequently Asked Questions

How does an industrial gravity thickener dewater slurries and clarify process water? +
What is the Talmage & Fitch method for determining thickener Unit Area ($UA$)? +
What is the Surface Overflow Rate (SOR) and why is it critical for clarification? +
How is rake mechanism drive operating torque ($T$) calculated? +
What is the consequence of overdosing or underdosing polymeric flocculant? +
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