K-Factor Calculator

Sprinkler discharge · Q = K√P · fire protection reference

Q = K√P
Sprinkler Discharge
Ad · 728×90 leaderboard

Solve For

Common K-Factors (Quick Select)


GPM/√PSI
PSI
GPM
Number of heads:
Ad · 300×250

Common Sprinkler K-Factors

This table lists K-factors commonly associated with standard sprinkler orifice designations. Actual K-factors vary by manufacturer and model. Always verify from the specific sprinkler datasheet.

K-Factor Nominal Orifice Thread Size Type Typical Use
Ad · responsive in-content

About This K-Factor Calculator

This K-factor calculator is a quick-reference tool for fire protection engineers, designers, contractors, and students working with automatic sprinkler systems. It uses the standard hydraulic discharge equation Q = K√P to relate flow rate, pressure, and the sprinkler's K-factor.

The calculator can solve for any one of the three variables when the other two are known, and includes a multi-head multiplier for rough total flow estimates when heads operate at equal pressure.

Common Uses

Limitations

This calculator assumes steady-state conditions with static K-factors. Real sprinkler systems involve friction loss, elevation changes, and varying pressures across heads. Use hydraulic calculation software for design-level work. The multi-head multiplier assumes equal pressure at every sprinkler, which does not occur in practice.

Formulas Used

All three modes rearrange the same fundamental sprinkler discharge equation.

Solve for Flow

Q = K × √P

Solve for Pressure

P = (Q / K)²

Solve for K-Factor

K = Q / √P

Where Q = flow rate (GPM), K = discharge coefficient (GPM/√PSI), and P = pressure (PSI).

Sprinkler K-Factor Notes

The K-factor is a dimensionless-in-practice discharge coefficient that characterizes how much water a sprinkler orifice will deliver at a given pressure. Higher K-factors deliver more water at the same pressure. K-factors are established through laboratory testing and are listed on each sprinkler's UL/FM datasheet.

When selecting sprinklers for a project, the K-factor affects system demand, pipe sizing, water supply requirements, and pump selection. Designers should not assume a K-factor based on orifice size alone — always verify from the manufacturer's published data.

Professional-use disclaimer: This tool is provided for informational and educational reference only. It does not constitute engineering services, code compliance verification, design certification, professional engineering advice, or an engineer-client relationship. Users are responsible for independent verification and compliance with applicable codes, standards, laws, specifications, manufacturer data, and authority-having-jurisdiction requirements.

Frequently Asked Questions

What does K-factor mean?

K-factor is a sprinkler's discharge coefficient. It describes the relationship between pressure at the sprinkler and the flow rate it produces. A higher K-factor means more flow at the same pressure.

What is the most common K-factor?

K-5.6 is the most widely used K-factor for standard spray sprinklers in commercial and light hazard occupancies. K-8.0 and K-11.2 are also very common for higher-flow applications.

Can I use this for ESFR sprinkler calculations?

The Q = K√P formula applies to all sprinklers including ESFR, but ESFR design involves additional requirements (minimum pressures, ceiling clearances, storage configurations) that this calculator does not address. Use it for quick flow checks, not ESFR system design.

Why does the multi-head estimate assume equal pressure?

It is a simplification for rough estimates. In a real piped system, pressure varies at each sprinkler due to friction loss and elevation differences. Accurate multi-head calculations require hydraulic analysis software.

Privacy Policy

Last updated:

This calculator runs in your browser. Values entered are not collected, stored, or transmitted. No account or login is required.

Advertising and analytics services may use cookies if enabled on this site. You can opt out at Google Ads Settings and via the Google Analytics Opt-out Add-on.

We do not sell or share personal information. This site is not directed at children under 13.

Terms of Use

All tools and content are provided as-is for informational reference only. No warranty is made regarding accuracy, completeness, or fitness for a particular project. You are responsible for verifying all results independently.

Contact

For corrections, suggestions, or feedback: contact@yourdomain.com

Do not submit project-specific design requests or confidential information through this website.