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Flow Rate & Velocity — 12 Inch Schedule 40

v = Q/A vs vc = C/√ρ. Safe / Warning / Erosion Risk. CS cap 3.5 m/s · SS cap 5.0 m/s.API RP 14E
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12 Inch Schedule 40 specification summary

Pre-seeded geometry for this programmatic URL. Adjust inputs in the calculator to recalculate; primary selections update the clean path for sharing and indexing.

ParameterValue
Nominal pipe size (NPS)12"
ScheduleSch 40
Outside diameter (OD)323.85 mm (12.750 in)
Wall thickness (t)10.31 mm
Inside diameter (ID)303.23 mm

Engineering Reference & ASME Code Basis

1. Core Formula & Variable Definitions

API Recommended Practice 14E (erosional velocity screening) · Norsok P-002 / ISO 13703 (CRA C-factor guidance — reference) · ASME B36.10M (CS schedules) / ASME B36.19M (SS schedules)

v = QA  ·  vc = C√ρ  [API RP 14E, ρ in lb/ft³ → convert to m/s]

Status: Safe if v < 0.8 vc and liquid v ≤ cap  ·  Warning ≥ 0.8 vc or liquid cap  ·  Erosion Risk if vvc

Liquid warning cap: CS 3.5 m/s (11.5 ft/s) · SS/CRA 5.0 m/s (16.4 ft/s)

API RP 14E erosional velocity screening (this app)

Hero v = Q / AAPI RP 14E vc = C / √ρCS default C = 100 · cap 3.5 m/sSS default C = 150 · cap 5.0 m/s

Hero is mean velocity v = Q/A using schedule ID (B36.10M for CS, B36.19M for SS). Erosion limit vc follows API RP 14E with user density converted to lb/ft³ inside the engine. Default C = 100 (CS) or 150 (SS). Liquid services also apply a practical warning cap (CS 3.5 m/s, SS 5.0 m/s). Multiphase mixture-density formulas are out of scope — enter ρ directly. Sand-laden slurries need dedicated erosion models.

  • v (Mean Velocity)Hero output — Q / A through the schedule ID bore (m/s or ft/s).
  • vc (Erosional Velocity Limit)API RP 14E limit from C / √ρ (ρ in lb/ft³), converted to the active unit system.
  • C (Empirical Factor)Default 100 (CS continuous) or 150 (SS/CRA). Override in Advanced 1.2.
  • ρ (Fluid Density)User density (kg/m³ or lb/ft³). Converted to lb/ft³ for the RP 14E formula.
  • Q (Volumetric Flow)m³/h or GPM.
  • A (Flow Area)π ID² / 4 from the selected NPS/schedule.
  • v / vc (Utilization Ratio)Safe < 80%; Warning 80–100% (or liquid cap); Erosion Risk ≥ 100%.

2. Allowances, Tolerances & Standards

Screening only. Confirm project velocity standards and sand content before PO.

Safev < 0.8·vc and liquid v ≤ cap

Normal continuous operation band for this calculator.

Warningv ≥ 0.8·vc or liquid v > cap

CS liquid cap 3.5 m/s; SS/CRA liquid cap 5.0 m/s. Consider larger NPS.

Erosion Riskv ≥ vc

At or above the RP 14E erosional limit for the entered C and ρ.

Sand / slurryOut of scope

If sand ≫ ~1 lb/1000 bbl, do not rely on RP 14E — use particulate erosion models.

Quick Reference Lookup Table

NPS 4 Sch 40 (ID 102.26 mm) — water ρ = 998 kg/m³, C = 100 (vc ≈ 3.86 m/s)
Q (m³/h)v (m/s)v / vcStatus
200.6818%Safe
401.3535%Safe
501.6944%Safe
802.7170%Safe
1003.3888%Warning
1304.40114%Erosion Risk

Matches this app’s rules: Warning if v ≥ 0.8·vc or liquid v > 3.5 m/s (CS); Erosion Risk if v ≥ vc. Default Q = 40 m³/h is Safe (~35% of vc).

3. Material & Code Limitations

Material family selects schedule set (B36.10M vs B36.19M), default C, and liquid warning cap.

Material GroupTemperature RangeAllowable Stress / LimitEngineering Notes
Carbon & Alloy SteelLiquid warning cap 3.5 m/s (11.5 ft/s)Default C = 100B36.10M schedules. Continuous solids-free screening.
Stainless / CRALiquid warning cap 5.0 m/s (16.4 ft/s)Default C = 150B36.19M S schedules. Higher C reflects tougher passive films.
Gas serviceTypical band ~10–25 m/s (screening note)Still compare v to vcLiquid cap does not apply when ρ < 400 kg/m³ in this app.
Two-phase / sandEnter mixture ρ if screeningRP 14E clean-fluid assumptionFormal multiphase / sand erosion analysis is outside this tool.

Code Applicability & Safety Boundaries

  • Calculator scope: v = Q/A, vc = C/√ρ (RP 14E), CS/SS liquid caps, and Safe/Warning/Erosion Risk.
  • Does not replace particulate erosion models (DNV-RP-O501 / Tulsa) for sand service.
  • Does not check AIV/FIV acoustic limits on high-velocity gas lines.

4. Step-by-Step Worked Example

Field VerificationShow

Reproduce the app default: CS NPS 4 Sch 40, Q = 40 m³/h, ρ = 998 kg/m³, C = 100.

Material:Carbon steel · C = 100 · liquid cap 3.5 m/sPipe:NPS 4 Sch 40 (ID = 102.26 mm)Flow Q:40 m³/hDensity ρ:998 kg/m³ (62.3 lb/ft³)
1

Flow area A

D = 0.10226 m → A = 0.008213 m².
Result:A = 0.008213 m²

From pipeSchedule.json Sch 40 ID.

2

Mean velocity v

Formula: v = Q / A
Q = 40/3600 = 0.01111 m³/s → v = 1.353 m/s.
Result:v = 1.35 m/s

Hero output for the default case.

3

API RP 14E limit vc

ρ = 998 × 0.062428 = 62.30 lb/ft³ → vc = 100/√62.30 = 12.67 ft/s = 3.86 m/s.
Result:vc = 3.86 m/s

Same conversion used in the engine.

4

Ratio and liquid cap

v/vc = 1.353/3.862 = 35%. Liquid cap check: 1.35 < 3.5 m/s.
Result:v/vc = 35% · below liquid cap

Both Safe criteria satisfied.

5

Status

v < 0.8·vc and v ≤ liquid cap → Safe.
Result:Status: Safe

Matches the calculator default screening result.

Conclusion: Default app case: v ≈ 1.35 m/s, vc ≈ 3.86 m/s (35% utilization), Status Safe. Raise NPS or cut Q if Warning / Erosion Risk appears.

5. Frequently Asked Questions & Technical References

Show

API RP 14E sets an erosional velocity limit from empirical factor C and density ρ in lb/ft³. This app converts your density input, computes vc, and compares it to v = Q/A.

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