Calculator
Enter gas conditions, flow, and design constraints. Use the hydraulic check to screen velocity, noise, and backpressure risk.
Formula used
- a = √(k·R·T / MW) (speed of sound, MW in kg/mol).
- v_allow = Mach_limit · a (allowable header velocity).
- ρ = P·MW / (Z·R·T) (gas density at flowing conditions).
- Q = ṁ / ρ and A = Q / v_allow, D = √(4A/π).
- Pressure drop (screening): ΔP = ( f·L/D + ΣK ) · (ρ·v²/2), using Swamee–Jain for f.
How to use this calculator
- Select units and your flow input type.
- Enter header pressure and temperature (absolute pressure).
- Enter gas properties: MW, k ratio, Z, and viscosity.
- Pick a Mach limit to control noise and vibration risk.
- Optionally enter length, K losses, and roughness for ΔP screening.
- Click Calculate and review the suggested pipe and ΔP.
Article
Design objective for flare headers
Flare headers collect relief and blowdown gases and route them to a safe combustion point. The sizing goal is to move the required flow without excessive backpressure at protected equipment, while keeping velocity and noise within acceptable limits. This calculator provides a fast screening diameter based on a chosen Mach limit and then estimates pressure drop for a selected check diameter.
Key inputs and data quality
Accurate flowing pressure and temperature are essential because gas density changes strongly with these conditions. Enter absolute pressure, not gauge. Molecular weight, k ratio, and compressibility Z affect both density and the speed of sound. When the stream composition varies, use a conservative case or run multiple cases for normal, peak, and emergency scenarios.
Velocity and Mach screening
The calculator computes speed of sound using a = √(k·R·T/MW). Allowable velocity is Mach_limit × a. Using actual volumetric flow Q, the required area is A = Q/v_allow and the required internal diameter is D = √(4A/π). Lower Mach limits reduce vibration and acoustic risk but increase pipe size and cost.
Pressure drop and backpressure checks
For a practical hydraulic check, the tool evaluates Reynolds number, friction factor, and an estimated ΔP using Darcy–Weisbach: ΔP = (f·L/D + ΣK)·(ρv²/2). Roughness selection influences f in turbulent flow. Include realistic lengths and minor-loss K values for tees, valves, and reducers. Compare ΔP against available backpressure margin to avoid capacity reduction.
Using results for specification
Use the required diameter to shortlist standard pipe sizes, then confirm the suggested size with a full flare network study that includes multiple sources, elevation, liquid dropout, and sonic constraints at restriction points. Document inputs, assumptions, and export outputs for design reviews. Treat results as preliminary sizing for early engineering and bid packages. If your jurisdiction applies specific noise or velocity criteria, align Mach limits with those standards. When results are close to limits, select the next larger line to provide operational flexibility and future tie-ins during turnaround events.
FAQs
Example data table
| Case | Flow | P abs | T | MW | Mach | Required ID (mm) | Suggested pipe |
|---|---|---|---|---|---|---|---|
| Normal | 2,500 kg/h | 180 kPa | 35 °C | 18 | 0.20 | ~210 | NPS 8 (Sch 40) |
| Peak | 8,000 kg/h | 220 kPa | 45 °C | 20 | 0.50 | ~255 | NPS 10 (Sch 40) |
| Emergency | 14,000 kg/h | 300 kPa | 60 °C | 22 | 0.60 | ~295 | NPS 12 (Sch 40) |
Values are illustrative. Always run a full network hydraulic study for final design.