Fire Hydrant Flow Calculator
Pitot PSI → GPM + NFPA 291 Color Class (Blue / Green / Orange / Red)
Uses the standard fire service formula Q = 29.83 × c × d² × √p. Free, mobile-ready, no login required.
Enter Pitot Readings
NFPA 291 Hydrant Color Classification
NFPA 291 Recommended Practice for Fire Flow Testing and Marking of Hydrants defines color-coding of hydrant bonnets and caps based on available fire flow at 20 PSI residual pressure. Engine companies use these colors for rapid water supply assessment during preplanning and on-scene operations.
BLUE
GREEN
ORANGE
RED
The Pitot Flow Formula: Q = 29.83 × c × d² × √p
This is the standard theoretical discharge formula used across IFSTA, NFPA, and NFA references for calculating fire hydrant flow from a pitot gauge reading.
| Variable | Meaning | Unit | Typical range |
|---|---|---|---|
| Q | Flow rate (result) | GPM | — |
| 29.83 | Constant (unit conversion factor) | — | Fixed |
| c | Discharge coefficient | Dimensionless | 0.70 – 0.90 |
| d | Outlet internal diameter | Inches | 2.5 – 4.5 |
| p | Pitot gauge pressure | PSI | 10 – 100 |
Worked Example
Setup: 2½" rounded outlet (c = 0.90), pitot reads 50 PSI.
Q = 29.83 × 0.90 × (2.5²) × √50 = 29.83 × 0.90 × 6.25 × 7.07
Result: ≈ 1,186 GPM → Class A (GREEN) — adequate for most residential structure fires.
Quick Reference: Common Pitot Readings (2½" Outlet, c=0.90)
Use this table for fast field estimates. Values are approximate — always use the calculator for your specific diameter and coefficient.
| Pitot PSI | Est. GPM | NFPA 291 Class | Color | Operational Guidance |
|---|---|---|---|---|
| 10 PSI | 530 GPM | Class B | Orange | Single 2½" line; monitor residual carefully |
| 20 PSI | 750 GPM | Class B | Orange | Good for single attack line; limited backup |
| 30 PSI | 918 GPM | Class B | Orange | Near Class A threshold; verify residual pressure |
| 40 PSI | 1,060 GPM | Class A | Green | Adequate for residential single-family fire |
| 50 PSI | 1,186 GPM | Class A | Green | Good for residential/light commercial |
| 60 PSI | 1,298 GPM | Class A | Green | Supports attack + backup; solid supply |
| 70 PSI | 1,402 GPM | Class A | Green | High Class A; near Blue threshold |
| 80 PSI | 1,498 GPM | Class A/AA | Blue | Borderline Class AA; excellent for most incidents |
| 90 PSI | 1,589 GPM | Class AA | Blue | Excellent; suitable for commercial/industrial pre-plans |
| 100 PSI | 1,675 GPM | Class AA | Blue | Very high flow; verify hydrant and gauge condition |
Values calculated using Q = 29.83 × 0.90 × 6.25 × √p (2.5" outlet, rounded c=0.90). For other diameters, use the calculator above.
How to Use This Calculator
- Select your outlet diameter. Most field flow tests use the 2½" (steamer) port. Use 4" or 4.5" if testing a large pumper outlet.
- Choose the discharge coefficient. For most modern hydrants with rounded outlets, use 0.90. If you're unsure, 0.90 is the standard default.
- Open the hydrant fully and take your pitot reading. Hold the pitot tube centered in the stream at approximately one-half the outlet diameter from the end. Wait for the gauge to stabilize before recording.
- Enter the PSI and click Calculate. The tool returns estimated GPM and the NFPA 291 color class instantly.
- Record and use for preplanning. Log the result in your pre-incident plan. Pair with the Fire Flow (NFF) Calculator to confirm the hydrant meets your needed fire flow for the target structure.
Common Use Cases & Limitations
✅ Good uses for this tool
- Pre-incident surveys and first-due water supply checks
- Hydrant marking programs (NFPA 291 color classification)
- Fire academy training — pitot operations and flow estimation
- Engine company drills — water supply decision practice
- Quick field verification of expected hydrant output
⚠️ Important limitations
- Theoretical estimate only — real flow varies with main pressure, condition, and demand
- Does not account for residual pressure drop or multiple flowing outlets
- Not a substitute for full NFPA 291 hydrant flow test procedures
- Do not use for ISO submissions without formal testing
- Always follow department SOP/SOG and local water authority data
Hydrant Flow Calculator — Frequently Asked Questions
Q = 29.83 × c × d² × √p, where d is the outlet diameter in inches, p is pitot gauge pressure in PSI, and c is the discharge coefficient. For a 2½" rounded outlet at 50 PSI: Q = 29.83 × 0.90 × 6.25 × 7.07 ≈ 1,186 GPM. This formula is referenced in IFSTA Engine Company Operations and NFPA 291.