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NFPA 13 Fire Sprinkler Flow Rate (K-Factor) Calculator

NFPA 13 establishes standards for the installation and hydraulic design of automatic fire sprinkler systems.

Discharge coefficient K (5.6 for standard 1/2" orifice, 8.0 for 17/32", 11.2, 14.0, 16.8 for ESFR).

Water pressure at sprinkler head orifice (minimum 7 psi per NFPA 13).

Calculated Result
28.0 gpm (106.0 L/min)

Sprinkler Water Discharge (Q)

Flow Rate (gpm)

28.0 gpm

Flow Rate (L/min)

106.0 L/min

Operating Pressure

25 psi (1.72 bar)

Calculation Breakdown

  1. Step 1: NFPA 13 Orifice Discharge EquationQ = K · √P = 5.6 · √(25) = 28.0 gpm
  2. Step 2: Metric ConversionQ = 28.0 gpm · 3.785 = 106.0 L/min

What Is the NFPA 13 Fire Sprinkler Flow Rate (K-Factor) Calculator?

The sprinkler K-factor is a discharge coefficient relating water flow through a sprinkler nozzle orifice to the square root of pressure.

How Does the NFPA 13 Fire Sprinkler Flow Rate (K-Factor) Calculator Work?

Evaluates Q = K · √P in US customary units.

Converts flow rate to liters per minute.

NFPA 13 Fire Sprinkler Flow Rate (K-Factor) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Q = K · √P (gpm), Q_metric = 14.4 · K · √P_bar (L/min)

Standard Torricelli orifice discharge equation adapted for fire protection engineering.

How to Use the NFPA 13 Fire Sprinkler Flow Rate (K-Factor) Calculator

  1. Input manufacturer nominal K-factor.
  2. Specify operating residual pressure in psi.

Step-by-Step Example Calculation

Standard Commercial Sprinkler Head

Input Values:

kFactor:5.6
pressure:25
Worked Steps: K-5.6 head operating at 25 psi yielding 28 gpm.

Understanding Your Result

Primary output indicates flow rate in gpm and L/min.

Summary displays equivalent pressure in bar.

Factors That Affect the Result

  • Piping friction losses and elevation changes.

When Should You Use This Calculator?

  • Hydraulic calculations for commercial, residential, and warehouse fire sprinkler networks.

Assumptions & Limitations

  • Minimum operating pressure of 7 psi required for proper droplet distribution pattern.

Frequently Asked Questions

Calculation Accuracy & Reference Note

NFPA 13 standard equation.

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