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Wet Electrostatic Precipitator (WESP) Sizing & Acid Mist Removal Calculator

Perform industrial sizing of Wet Electrostatic Precipitators (WESP) for sub-micron particulate, condensed organic aerosol, and sulfuric acid mist capture using Deutsch-Anderson and modified Matts-Ohnfeldt models. Size hexagonal tubular bundles, calculate migration velocity, high-voltage T-R set electrical power, and wash water demand.

1. Flue Gas & Particle Specifications

Actual volumetric flow rate at operating temperature and saturation
WESP operates at water saturation dew point (typically 35–65°C)
%
Industrial standard is 99.5% to 99.9% for acid mist plume elimination
m/s
Drift velocity: Acid mist = 0.08–0.16 m/s; Tar = 0.10–0.22 m/s
mm
Standard industrial sizes: 200 mm, 250 mm (10"), 300 mm (12")
m
Standard vertical active tube length: 3.5 to 6.0 meters
Peak operating voltage (kV DC) and corona current density (mA/m² collecting area)

2. Precipitator Geometry & Electrical Results

Total Collection Area ((A_{col}))
936m²
10,075 ft²
Specific Collecting Area ((SCA))
51.8( ext{s/m})
263 ft²/(1000 ACFM)
Number of Hexagonal Tubes ((N_t))
265tubes
Gas velocity: 1.39 m/s
Precipitator Shell Diameter
4.45m
14.6 ft (hex honeycomb pack)
Outlet Particulate Loading ((C_{out}))
0.70mg/Nm³
Zero opacity / invisible plume
T-R High-Voltage Power ((P_{TR}))
38.6kW
Total Corona: 702 mA DC
Flushing Water Demand
140m³/h
Continuous weir / cyclic spray
Gas Pressure Drop ((Delta P))
185Pa
0.74 in w.g. (low energy)
✓ WESP Sizing Compliant: Clean Plume & High Electrical Stability
✓ Diagnostic Summary Copied!

Governing Principles & Mathematical Derivations for WESPs

Wet Electrostatic Precipitators utilize strong DC electrostatic fields to impart negative charge to suspended sub-micron droplets and solid particles, driving them to grounded, water-washed collection surfaces.

1. Sizing Models: Deutsch-Anderson vs Modified Matts-Ohnfeldt

In the classical Deutsch-Anderson model, collection efficiency is governed by the exponent of the product of specific collecting area and migration velocity:

eta = 1 - expleft( - rac{w_e cdot A_{col}}{Q} ight) = 1 - exp(-w_e cdot SCA)

For fine acid mists, the modified Matts-Ohnfeldt model incorporates an empirical exponent (m = 0.5) to accurately capture polydisperse sub-micron drift kinetics:

eta = 1 - expleft[ - left( rac{w_k cdot A_{col}}{Q} ight)^m ight] implies A_{col} = rac{Q}{w_k} cdot left[ -ln(1 - eta) ight]^{1/m}

2. Hexagonal Tubular Bundle Geometry

Hexagonal tubes arranged in a honeycomb bundle maximize surface area while maintaining uniform gas velocity across the vessel cross-section:

A_{tube} = pi D_t cdot L_t, quad N_{tubes} = rac{A_{col}}{A_{tube}}, quad v_{gas} = rac{Q}{N_{tubes} cdot left( rac{sqrt{3}}{2} D_t^2 ight)}

Design gas velocity is held between (1.2 ext{--}1.8, ext{m/s}) to prevent aerodynamic shearing and re-entrainment of the liquid film cascading down the tube walls.

3. High-Voltage Corona Power & Transformer-Rectifier (T-R) Sizing

The electrical power delivered to the ionizing corona discharge must be sufficient to maintain avalanche ionization without triggering continuous spark arcs:

I_{corona} = J cdot A_{col} quad ( ext{mA}), quad P_{TR} = rac{V_{op} cdot I_{corona}}{1000} quad ( ext{kW})

Modern switched-mode power supplies (SMPS) operate at 50–70 kV DC with current densities of (0.5 ext{--}1.2, ext{mA/m}^2), yielding typical power consumption of (30 ext{--}60, ext{W/m}^2) of collecting surface.

5 Fatal Traps & Engineering Pitfalls in WESP Design & Operation

1. The Gas Distribution Maldistribution Catastrophe

Because WESP collection efficiency is logarithmic, non-uniform gas flow destroys performance. If 30% of the gas channels through a high-velocity core at 3.0 m/s, that portion experiences severe penetration, dropping overall collection efficiency from 99.8% to 94%. Dual perforated perforated gas distributor plates and CFD flow modeling are mandatory to achieve a coefficient of variation (C_v < 0.15).

2. Insulator Purge Air Failure & High-Voltage Flashover

The support insulators that suspend the rigid high-voltage discharge mast must be isolated from wet, corrosive process gas. If the heated purge air blower trips, acidic moisture condenses on the cold alumina insulator surfaces, creating a conductive liquid bridge that triggers catastrophic dielectric tracking, electrical flashover, and shattered insulator ceramics.

3. Dry-Spot Acid Corrosion & Pitting Breakdown

In wet precipitators constructed from high-alloy austenitic stainless steels (e.g. Alloy 20, Hastelloy C-276), complete and continuous wetting of the tube walls is vital. If water distribution weirs foul and dry spots form, concentrated sulfuric acid (50–70% H2SO4) concentrates under high heat, triggering rapid stress corrosion cracking and pinhole pitting that destroys the tube bundle in under 12 months.

4. Spark Quenching from Inadequate Water Washing Drainage

During intermittent wash cycles, if water drain sumps are undersized or header nozzles discharge uneven torrents, liquid bridges form between the central discharge electrode and the tube wall. The T-R controller interprets these liquid bridges as continuous dead shorts, collapsing voltage to zero and discharging unscrubbed acid mist directly out the stack.

5. Corona Wire Vibration & Misalignment Fatigue

Weighted wire or rigid mast discharge electrodes must remain precisely centered within ±3 mm of the tube axis. If gas vortex shedding or asymmetric electrostatic pull induces lateral wire oscillation, the gap to one wall narrows, triggering continuous local spark-overs while the opposite wall remains un-ionized, slashing collection efficiency by 50%.

Frequently Asked Questions

What is a Wet Electrostatic Precipitator (WESP) and where is it used? +
A Wet Electrostatic Precipitator (WESP) is an industrial gas cleaning system designed to capture sub-micron solid particles, condensed organic aerosols, and corrosive liquid droplets (such as sulfuric acid mist, H2SO4). Unlike dry ESPs—which use mechanical rappers that cause dust re-entrainment and are prone to resistivity-induced back-corona—WESPs operate with water-wetted collecting surfaces. Continuous or periodic washing eliminates re-entrainment and prevents sticky, conductive, or flammable dust build-up. WESPs are standard in sulfuric acid plants, metallurgical roasters, chemical waste incinerators, and biomass gasification systems.
How does the Deutsch-Anderson equation differ from the modified Matts-Ohnfeldt model for WESP sizing? +
The classical Deutsch-Anderson equation ((eta = 1 - exp[-w_e cdot A / Q])) assumes completely uniform gas velocity, mono-disperse particle size, and unhindered particle charging. In real industrial gas streams containing sub-micron acid mists ((d_p < 1,mu ext{m})), polydisperse size distributions and electrical turbulence cause actual efficiency to deviate from standard exponential scaling. The modified Matts-Ohnfeldt equation ((eta = 1 - exp[-(w_k cdot A / Q)^m]) with (m approx 0.5)) provides superior empirical accuracy by accounting for the slower capture of fine sub-micron fractions.
Why are hexagonal honeycomb tubular bundles preferred over parallel plates in WESPs? +
Tubular hexagonal honeycomb configurations offer several decisive advantages for wet gas service: (1) Symmetric radial electric field around the central discharge electrode wire, maximizing electrostatic field strength and migration velocity; (2) Elimination of inactive aerodynamic boundary layers and dead corners where droplets could deposit without flushing; (3) Structural rigidity and compact footprint, providing up to 40% more collection surface area per unit vessel volume than plate designs; and (4) Self-draining vertical orientation that naturally guides flushed condensate down the tube walls.
What causes electrical spark-over and how does it limit WESP voltage? +
Spark-over occurs when the local electric field between the high-voltage discharge electrode and the grounded tube wall exceeds the dielectric breakdown strength of the saturated gas stream. In wet gas streams, water mist droplets, condensation spikes, and high gas humidity alter the breakdown potential. Modern high-frequency switched-mode power supplies (SMPS) operate at 45–80 kV DC, automatically sensing micro-sparks and throttling voltage within milliseconds to maintain the maximum possible corona current without creating destructive continuous power arcs.
How does the Cunningham slip correction factor influence sub-micron particle collection? +
For particles smaller than approximately (1,mu ext{m}), the particle diameter approaches the mean free path of gas molecules ((lambda approx 0.066,mu ext{m}) at NTP). The gas ceases to behave as a continuous fluid; gas molecules slip past the particle surface with reduced frictional drag. The Cunningham slip correction factor ((C_c = 1 + rac{2lambda}{d_p}[1.257 + 0.4exp(-0.55 d_p / lambda)])) increases particle electrical mobility and effective drift velocity, preventing sub-micron particles from becoming completely uncollectible.

Frequently Asked Questions

What is a Wet Electrostatic Precipitator (WESP) and where is it used? +
How does the Deutsch-Anderson equation differ from the modified Matts-Ohnfeldt model for WESP sizing? +
Why are hexagonal honeycomb tubular bundles preferred over parallel plates in WESPs? +
What causes electrical spark-over and how does it limit WESP voltage? +
How does the Cunningham slip correction factor influence sub-micron particle collection? +
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