This calculator applies Q=K sqrt(P) using a user-entered metric K-factor and divides that flow by an entered area as a hypothetical uniform-allocation index. It does not design fire protection or irrigation coverage.
Hydraulic Sprinkler Head Interactive Calculator
Explore a user-provided metric K-factor flow relation, a purely uniform area division and illustrative ±5% flow scenarios.
Equation Used
- User supplies a verified K-factor in the displayed metric units and a compatible nonnegative pressure.
- Single steady discharge point with no pipe-network coupling or pressure loss calculation.
- Entered area receives flow uniformly only for the arithmetic index.
- No activation/temperature response, spray pattern, obstruction, droplet, wind, overlap, hydraulic design area, water supply, pump, code, listing or life-safety model.
The ±5% outputs are arithmetic scenarios, not manufacturing tolerance or uncertainty. The area division assumes perfectly uniform distribution and is not a spray-pattern, fire-design-density or irrigation-uniformity prediction.
User-provided K-factor relation
For a discharge device whose verified metric K-factor uses L/min/sqrt(bar), the conventional relation is Q=K sqrt(P). K already embodies that device's discharge geometry and unit convention.
The animation is a qualitative orifice-flow cue. It does not show activation, spray distribution or a listed sprinkler's performance.
Use as a limited flow conversion
The calculator can check Q-K-P arithmetic for a verified device value. It cannot choose a sprinkler, determine coverage, size a network or satisfy fire-protection or irrigation requirements.
Flow and hypothetical uniform allocation
Q=K sqrt(P). Dividing by A gives Q/A; numerically, L/min over m² equals mm/min only if every drop is uniformly assigned to that area. Actual distribution depends on listed/tested spray data, spacing, overlap, geometry and environment.
The two variation tiles are fixed ±5% arithmetic around Q and have no tolerance meaning.
Worked K-factor example
For K=80 L/min/sqrt(bar) and P=1 bar, flow is 80 L/min. Dividing by a hypothetical uniform 12 m² gives 6.667 mm/min. The illustrative −5% and +5% flows are 76 and 84 L/min.
Scope and limitations
Fire-protection work requires current adopted codes, hazard/commodity and occupancy classification, listed heads and spacing/obstruction rules, temperature and response classification, full hydraulic network and remote-area calculation, verified water supply and pump, seismic/support details, inspection/testing and licensed fire-protection design. Irrigation requires manufacturer precipitation/throw patterns, matched spacing, overlap and uniformity, wind, soil/crop demand, pressure regulation, network loss and filtration.
Questions
Does Q/A prove coverage?
No. It assumes perfect uniformity and contains no spray pattern.
Are ±5% values a tolerance?
No. They are illustrative arithmetic only.
Can this design a fire system?
No. Use current code, listed equipment data and licensed fire-protection professionals.
Calculation basis
The equation Q = K√P requires a K-factor whose flow and pressure units match the calculation. Here Q is in litres per minute and P is in bar. A K-factor quoted for US gallons per minute and psi cannot be entered unchanged.
Viking’s VK4860 technical data distinguishes US and metric K-factors and states the pressure convention for its metric value. Use the verified value and conditions for the particular device being examined; the calculator’s default is only an arithmetic example.
Dividing Q by the entered area assumes perfectly uniform allocation of water. The two variation results are exactly 95% and 105% of Q, not measured tolerances. These calculations do not establish spray coverage or satisfy fire-protection design requirements.
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