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SOLID-LIQUID SEPARATION & INDUSTRIAL FILTRATION

Rotary Vacuum Drum Filter (RVDF) Sizing Calculator

Size industrial continuous rotary vacuum drum filters. Compute specific cake resistance (α), dry solids yield rate, cake thickness, cycle time subdivision (form/wash/dry), and vacuum airflow capacity.

Slurry Production & Cake Properties

kg/h dry solids
kg dry solids / m³ filtrate
× 10¹⁰ m/kg at 1 bar
index (0 = rigid, 0.8 = soft bio)
kg/m³ dry solids in cake
cP (mPa·s)

Drum Mechanical & Vacuum Operating Parameters

RPM (rev per minute)
kPa gauge (typical 40-75 kPa)
% submergence in slurry vat

Filtration Capacity & Drum Dimensions

Required Drum Area
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Cake Dry Solids Yield
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Cake Thickness (L_cake)
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Filtrate Flow Rate
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Vacuum Pump Capacity
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Effective Specific Resistance (α)
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Cake Form Time
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Drying Arc Time
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Wash Angle
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Rotary Drum Cross-Section & Filtration Cycle Segments

5 Fatal Industrial Traps in Rotary Vacuum Drum Filter Operation

1. Precoat Cake Cracking & Catastrophic Vacuum Collapse

In precoat filtration (diatomaceous earth / perlite), as the cake passes into the drying zone, rapid air draw can desiccate compressible cakes, causing deep radial shrinkage cracks. Ambient air immediately short-circuits through the cracks into the drum internal pipes. Drum vacuum drops from 65 kPa to below 15 kPa, stopping filtration instantly across the entire drum submerged zone.

2. Slurry Vat Sedimentation from Agitator Pendulum Failure

Coarse or heavy mineral slurries ($d_p > 45 ext{ μm}, ho > 2500 ext{ kg/m}^3$) settle within seconds. If the oscillating vat pendulum rake agitator has insufficient sweep or suffers mechanical linkage failure, solids compact into a dense sediment bed at the vat bottom. The rotating drum wedges against the solid bed, stalling the drum drive motor or snapping the circumferential drive chain.

3. The Precoat Shaving Knife Advance Runaway (Diatomite Waste)

Precoat filters require an automated micrometer knife advance ($10-50 ext{ μm}$ per revolution) to shave off the blinded slime layer. Setting the knife advance rate unnecessarily high burns through an expensive 100 mm precoat bed in 4 hours instead of 16 hours, quadrupling diatomaceous earth consumption costs and wasting thousands of dollars per shift in filter aid.

4. Trunnion Rotary Valve Bridge Wear & Cross-Zone Vacuum Leakage

The stationary rotary vacuum valve on the drum trunnion separates form vacuum, dry vacuum, atmospheric cake discharge, and reverse blow air using sacrificial phenolic or bronze wear plates. Abrasive slurry fines leaking into the valve face score deep grooves across the bridge seals. Compressed blow air leaks directly into the vacuum chambers, destroying cake formation and blowing slurry back into the vat.

5. Multifilament Cloth Internal Pore Crystallization & Blindness

When filtering hot saturated slurries (ammonium sulfate, potash, gypsum), the evaporative cooling of air pulled through the cake drops the liquor temperature inside the cloth pores below its saturation limit. Salt crystals nucleate inside the twisted multifilament cloth yarns, petrifying the flexible cloth into an impermeable board that no knife scraper or air blow can clear.

Governing Equations: Ruth & Carman-Kozeny Continuous Rotary Filtration

1. Ruth Filtration Differential Equation:

rac{dt}{d(V/A)} = rac{mu cdot alpha cdot c}{Delta P} cdot left( rac{V}{A} ight) + rac{mu cdot R_m}{Delta P}

Integrating over form time $t_f = psi_{form} cdot rac{60}{N_{drum}}$ seconds (neglecting filter medium resistance $R_m ll R_{cake}$ for thick cakes):

left( rac{V}{A} ight)_{form} = sqrt{ rac{2 cdot Delta P cdot t_f}{mu cdot alpha cdot c}} quad [ ext{m}^3 ext{ filtrate / m}^2 ext{ cycle}]

2. Dry Cake Yield Rate ($Y_{cake}$):

Y_{cake} = rac{c cdot (V/A)_{form}}{t_{cycle}} cdot 3600 = c cdot sqrt{ rac{2 cdot Delta P cdot psi_{form} cdot N_{drum}}{60 cdot mu cdot alpha cdot c}} cdot 3600 quad [ ext{kg}/( ext{m}^2cdot ext{h})]

3. Cake Thickness ($L_{cake}$):

L_{cake} = rac{c cdot (V/A)_{form}}{ ho_{dry}} quad [ ext{meters}]

4. Vacuum Airflow Sizing: Empirical airflow factor $q_{air} approx 0.8 ext{ Nm}^3/( ext{m}^2cdot ext{min})$ across total drum area.

Frequently Asked Questions

How does drum rotational speed (RPM) affect cake thickness and yield? +
What is the function of a precoat rotary vacuum drum filter? +
What determines maximum drum submergence in the slurry vat? +
How does specific cake resistance (α) impact filter sizing? +
Why is cake cracking during the dewatering cycle fatal to drum operation? +
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