ℹ️ About This Calculator
The sprinkler hydraulic calculation starts at the most remote sprinkler heads in the design area and traces back through the pipe network to the riser, accumulating flow at each tee and computing friction loss in each pipe section. The required pressure at the alarm valve, combined with system elevation head and pipe losses, determines the required fire pump duty point.
NFPA 13 Chapter 23 and IS 15105 Annex C describe the hydraulic calculation method. Most design firms use software (Hytran, AutoSPRINK, SprinkCAD) for full hydraulic calculations. Manual calculations for simple tree systems verify software results. Hydraulic design must show the remote design area, density achieved, all pipe sizes, velocities, and pressure at each node. Fire authority submission requires full hydraulic calculation sheets.
📐 Sprinkler Hydraulic Calculation
IS 15105 / NFPA 13
Head Flow (K-factor): Q = K × √P (Q in L/min, P in bar) K-factor: standard = 80; large orifice = 115 Hazen-Williams Friction Loss: hf = 6.05 × 10^4 × Q^1.852 / (C^1.852 × d^4.87) × L C = 120 for steel; C = 150 for CPVC/plastic Node Pressure Balancing: P_node = P_head + hf_branch (working from remote head inward) Adjust downstream head flows to match node pressure using K-factor Total Demand at Riser: Q_riser = Σ(Q_heads in design area) + Q_hose_allowance H_riser = elevation head + friction losses + residual pressure
🧮 Worked Example
The most remote sprinkler head (K-factor 80) in an Ordinary Hazard system needs a minimum operating pressure of 1.0 bar, giving flow Q = 80 × √1.0 = 80 L/min. Through a 25 mm branch pipe of 3 m length carrying this flow, Hazen-Williams friction loss works out to hf ≈ 0.15 bar (C = 120 for steel), so the pressure at the next node is 1.0 + 0.15 = 1.15 bar. The next head, balanced at this higher pressure, flows Q = 80 × √1.15 ≈ 86 L/min. Repeating this process to the riser for all 8 heads in the 72 m² design area gives a total demand of approximately 700 L/min, plus a 250 L/min inside hose allowance, for a total pump duty of 950 L/min at the calculated riser pressure.
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