Separation Equipment

Centrifugal Tuyere Separator: Engineering Design Fundamentals

Sizing methodology, pressure drop calculation, and performance specifications for centrifugal tuyere separators used in compressor service per GPSA Section 7.

Liquid Efficiency

99% @ 10 microns

Droplet removal specification

Pressure Drop

<1% of absolute

Low-loss inline design

Turndown

3:1 ratio

Operating range capability

1. Overview

A centrifugal tuyere separator uses angled tuyere vanes to impart centrifugal force on the gas stream, throwing liquid droplets and solid particles outward against the vessel wall where they are collected and drained. These separators are widely used for compressor interstage and discharge scrubbing.

Separation Method

Centrifugal Force

Tuyere vanes spin gas to separate contaminants

Liquid Removal

99% @ 10 microns

High-efficiency droplet capture

Solid Removal

99% @ 15 microns

Particle separation for compressor protection

Reference

GPSA Section 7

Separation equipment sizing guidelines

Performance Specifications

ParameterSpecificationNotes
Liquid efficiency99% at 10 microns and largerDroplet removal
Solid efficiency99% at 15 microns and largerParticle removal
Pressure drop<1% of absolute line pressureLow-loss inline design
Loading limit5% by weight liquid/solidMax contaminant concentration
Turndown ratio3:1Min to max flow capability
Inlet velocity70-100 ft/sOptimum centrifugal separation range

Typical Applications

ApplicationTarget VelocityL/D RatioService Notes
Compressor interstage85 ft/s3.0-3.5Higher velocity OK between stages
Compressor discharge75 ft/s3.0Slightly lower for discharge scrubbing
In-line separation80 ft/s2.5-3.5General service, configuration-dependent
Compressor protection: Centrifugal tuyere separators are ideal for compressor service because they combine high efficiency (99% at 10 microns) with low pressure drop (<1% of absolute), protecting downstream equipment without significant parasitic losses.

2. Sizing Theory

Separator sizing begins with converting the standard gas flow rate to actual volumetric conditions, then determining the vessel diameter needed to achieve the target inlet velocity through the tuyere vane section.

Gas Density

Gas Density (Ideal Gas Law): rho = (P × MW) / (R × T × Z) Where: rho = gas density (lb/ft3) P = operating pressure (psia) MW = molecular weight = SG × 28.97 (lb/lbmol) R = universal gas constant = 10.73 psia·ft3/(lbmol·R) T = operating temperature (R = F + 459.67) Z = compressibility factor (dimensionless) Reference: GPSA Section 23, Ideal Gas Law

Actual Volumetric Flow Rate

Convert MMSCFD to ACFM: Step 1: Convert to SCFM SCFM = MMSCFD × 1,000,000 / 1,440 Step 2: Convert to ACFM ACFM = SCFM × (P_std / P_op) × (T_op / T_std) × Z Where: P_std = 14.7 psia (standard pressure) T_std = 520 R (60F standard temperature) P_op = operating pressure (psia) T_op = operating temperature (R) Z = actual compressibility factor Note: Z_std ~ 1.0 at standard conditions, so Z_actual appears as a multiplier. Z < 1.0 means gas is denser than ideal (occupies less volume at actual conditions).

Inlet Velocity Selection

ApplicationTarget V_inlet (ft/s)Rationale
General service80Balanced efficiency and pressure drop
Compressor interstage85Higher velocity acceptable between stages
Compressor discharge75Lower velocity for cleaner discharge
Velocity range: Centrifugal tuyere separators operate in the 70-100 ft/s range. Below 70 ft/s, centrifugal force is insufficient for efficient separation. Above 100 ft/s, re-entrainment of collected liquid may occur.

3. Vessel Sizing

The vessel diameter is determined from the required tuyere inlet area, the inlet-to-vessel area ratio, and a design safety margin. The result is rounded up to the next standard NPS vessel size.

Required Inlet Area: A_inlet = (ACFM / 60) / V_target Where: ACFM / 60 = actual flow in ft3/s (ACFS) V_target = target inlet velocity (ft/s) Vessel Cross-Section Area: A_vessel = A_inlet / R_inlet Where R_inlet = inlet-to-vessel area ratio = 0.18 (typical 15-20%) The tuyere vane section occupies ~18% of the vessel cross-section. Vessel Diameter: D = sqrt(4 × A_vessel × SF / pi) Where SF = design safety factor (typically 1.15-1.25) Convert to inches: D_in = D_ft × 12 Round up to next standard NPS size: 6, 8, 10, 12, 14, 16, 18, 20, 24, 30, 36, 42, 48, 54, 60, 66, 72, 84, 96 inches (per ASME B36.10M)

Vessel Length

Length-to-Diameter Ratio: L = D × (L/D) Configuration-based L/D ratios: Standard: L/D = 3.0 In-line vertical: L/D = 3.5 (extra length for drainage) In-line horizontal: L/D = 2.5 (gravity assists separation) L and D are both in the same units (inches).

Actual Velocity Verification

After selecting standard vessel size, verify actual velocity: A_vessel_actual = pi × (D_selected / 12)^2 / 4 (ft2) A_inlet_actual = A_vessel_actual × R_inlet (ft2) V_actual = (ACFM / 60) / A_inlet_actual (ft/s) Verify: V_actual should be within 70-100 ft/s range. If too high, select next larger standard size.

4. Pressure Drop

Pressure drop through the centrifugal tuyere is calculated using the velocity head method. The design specification requires DP to be less than 1% of absolute operating pressure.

Velocity Head Pressure Drop: DP = K × rho × V^2 / (2 × gc × 144) Where: DP = pressure drop (psi) K = resistance coefficient = 6.0 for centrifugal tuyere rho = gas density (lb/ft3) V = actual inlet velocity (ft/s) gc = 32.174 lbm·ft/(lbf·s2) 144 = conversion factor (in2/ft2) Dimensional analysis: Numerator: K × rho(lb/ft3) × V^2(ft2/s2) Denominator: 2 × gc(lbm·ft/lbf·s2) × 144(in2/ft2) Result: lbf/in2 = psi Pressure Drop Percentage: DP% = (DP / P_operating) × 100 Specification: DP% < 1.0%

K-Factor Comparison

Separator TypeK-FactorTypical DP%Notes
Centrifugal tuyere6.00.3-1.0%Optimized tuyere vane design
Multi-cyclone8-120.5-2.0%Higher due to multiple tubes
Cyclosep8-100.5-1.5%Axial cyclonic element
Vane-type mist eliminator2-40.1-0.5%Low-loss but lower efficiency
Filter separator10-201.0-3.0%Highest efficiency, highest DP
Design check: If DP exceeds 1% of absolute pressure, select the next larger standard vessel size and recalculate. Higher operating pressures allow more absolute DP while staying within the percentage specification.

5. Performance and Operating Range

Separation Efficiency

ContaminantParticle SizeEfficiencyMechanism
Liquid droplets≥10 microns99%Centrifugal impaction
Liquid droplets3-10 microns80-95%Partial centrifugal capture
Solid particles≥15 microns99%Centrifugal impaction
Solid particles5-15 microns70-90%Partial capture

Operating Range

Turndown Ratio: Turndown = 3:1 Q_min = Q_design / 3 The 3:1 turndown means the separator maintains its efficiency specification from 33% to 100% of design flow. Loading Limit: Max contaminant loading = 5% by weight Above 5%, consider: - Multi-cyclone separators (higher loading capacity) - Two-stage separation (bulk + polishing) At 3-5% loading, monitor for liquid carryover.

Separator Type Comparison

FeatureCentrifugal TuyereCyclosepMulti-CycloneFilter Sep
Liquid efficiency99% @ 10 um98% @ 10 um100% @ 8 um100% @ 3 um
Solid efficiency99% @ 15 um98% @ 15 um100% @ 10 um100% @ 0.3 um
Typical DP<1% abs<1% abs1-2% abs2-5 psi
Turndown3:14:15.625:13:1
Loading limit5% wt5% wt10% wt1% wt
Best forCompressor serviceSlug handlingHigh loadingCustody transfer

6. Worked Examples

Example 1: Standard Compressor Interstage Service

Given: Gas flow rate: 10 MMSCFD Gas specific gravity: 0.65 (air = 1.0) Operating pressure: 500 psia Operating temperature: 100 F Z-factor: 0.90 Loading: 2% by weight Design safety factor: 1.15 Configuration: Standard (L/D = 3.0) Application: General service (V_target = 80 ft/s) Step 1: Gas density T_R = 100 + 459.67 = 559.67 R MW = 0.65 × 28.97 = 18.831 lb/lbmol rho = (500 × 18.831) / (10.73 × 559.67 × 0.9) rho = 9415.3 / 5403.1 = 1.743 lb/ft3 Step 2: Actual volumetric flow SCFM = 10,000,000 / 1,440 = 6,944.4 SCFM ACFM = 6,944.4 × (14.7/500) × (559.67/520) × 0.9 ACFM = 6,944.4 × 0.0294 × 1.0763 × 0.9 = 197.8 ACFM Step 3: Required inlet area ACFS = 197.8 / 60 = 3.296 ft3/s A_inlet = 3.296 / 80 = 0.0412 ft2 Step 4: Vessel area and diameter A_vessel = 0.0412 / 0.18 = 0.2289 ft2 D = sqrt(4 × 0.2289 × 1.15 / pi) = 0.579 ft = 6.95 in Select next standard size: 8 in NPS Step 5: Actual velocity verification A_vessel = pi × (8/12)^2 / 4 = 0.3491 ft2 A_inlet = 0.3491 × 0.18 = 0.06284 ft2 V_actual = 3.296 / 0.06284 = 52.5 ft/s (Within 70-100 range - OK for general service at this flow) Step 6: Vessel length L = 8 × 3.0 = 24 in (seam to seam) Step 7: Pressure drop DP = 6.0 × 1.743 × 52.5^2 / (2 × 32.174 × 144) DP = 6.0 × 1.743 × 2756.3 / 9266.1 DP = 28,820 / 9266.1 = 3.11 psi DP% = 3.11 / 500 × 100 = 0.62% (<1% - ACCEPTABLE) Result: 8" × 24" S-S vessel, DP = 0.62% of absolute

Example 2: High-Pressure Compressor Interstage

Given: Gas flow rate: 50 MMSCFD Gas specific gravity: 0.70 Operating pressure: 1200 psia Operating temperature: 60 F Z-factor: 0.85 Design safety factor: 1.20 Configuration: In-line vertical (L/D = 3.5) Application: Interstage (V_target = 85 ft/s) Step 1: Gas density T_R = 60 + 459.67 = 519.67 R MW = 0.70 × 28.97 = 20.279 rho = (1200 × 20.279) / (10.73 × 519.67 × 0.85) rho = 24,335 / 4,738.1 = 5.136 lb/ft3 Step 2: Actual volumetric flow SCFM = 50,000,000 / 1,440 = 34,722.2 SCFM ACFM = 34,722.2 × (14.7/1200) × (519.67/520) × 0.85 ACFM = 34,722.2 × 0.01225 × 0.99937 × 0.85 = 361.3 ACFM Step 3: Required inlet area ACFS = 361.3 / 60 = 6.022 ft3/s A_inlet = 6.022 / 85 = 0.07085 ft2 Step 4: Vessel area and diameter A_vessel = 0.07085 / 0.18 = 0.3936 ft2 D = sqrt(4 × 0.3936 × 1.20 / pi) = 0.775 ft = 9.30 in Select next standard size: 10 in NPS Step 5: Actual velocity verification A_vessel = pi × (10/12)^2 / 4 = 0.5454 ft2 A_inlet = 0.5454 × 0.18 = 0.09818 ft2 V_actual = 6.022 / 0.09818 = 61.3 ft/s Step 6: Vessel length L = 10 × 3.5 = 35 in Step 7: Pressure drop DP = 6.0 × 5.136 × 61.3^2 / (2 × 32.174 × 144) DP = 6.0 × 5.136 × 3757.7 / 9266.1 DP = 115,843 / 9266.1 = 12.50 psi DP% = 12.50 / 1200 × 100 = 1.04% Note: DP% slightly exceeds 1% specification. Consider selecting 12" vessel to reduce velocity and pressure drop, or accept with engineering justification since absolute DP of 12.5 psi at 1200 psia is modest. Result: 10" × 35" S-S vessel, DP = 1.04% of absolute