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Sprinkler Flow Rate Calculator

Sprinkler Flow Rate Equation:

\[ FR = K \times \sqrt{P} \]

gpm/psi^0.5
psi

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1. What is the Sprinkler Flow Rate Equation?

The sprinkler flow rate equation calculates the flow rate of water through a sprinkler head based on the K-factor and water pressure. It is essential for designing and evaluating fire protection systems.

2. How Does the Calculator Work?

The calculator uses the sprinkler flow rate equation:

\[ FR = K \times \sqrt{P} \]

Where:

Explanation: The equation demonstrates that flow rate is proportional to the square root of the pressure, with the K-factor representing the sprinkler head's flow characteristics.

3. Importance of Flow Rate Calculation

Details: Accurate flow rate calculation is crucial for proper sprinkler system design, ensuring adequate water coverage for fire protection, and compliance with safety standards.

4. Using the Calculator

Tips: Enter the K-factor in gpm/psi^0.5 and pressure in psi. Both values must be positive numbers for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a K-factor?
A: The K-factor is a constant that represents the flow characteristics of a sprinkler head, measured in gallons per minute per square root of psi (gpm/psi^0.5).

Q2: Why is the square root relationship used?
A: The square root relationship comes from the fundamental fluid dynamics equations that describe flow through an orifice, where flow is proportional to the square root of the pressure differential.

Q3: What are typical K-factor values?
A: Common K-factor values range from 1.4 to 25.2 gpm/psi^0.5, with specific values depending on the sprinkler type and application requirements.

Q4: How does pressure affect flow rate?
A: Flow rate increases with the square root of pressure. Doubling the pressure increases flow rate by approximately 41% (√2 ≈ 1.414).

Q5: Are there limitations to this equation?
A: This equation assumes ideal conditions and may need adjustments for factors like pipe friction losses, elevation changes, and water viscosity variations.

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