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Adjustable variables · live
＋ THE SCIENCE · equations & assumptions
A = πD²/4 · v = Q/A
Hₚ(Q) = 30 n²η − 3500Q² [m]
hL = (fL/D + K) · v²/(2g)
Hₚ = max(2, 10 + hₜ − hₛ) + hL
dhₜ/dt = (Q(1−λ) + Qᵣ − Qd)/Aₜ
P = ρgQHₚ/η [W]
Units: Q in m³/s, D and head in metres, pressure in bar, power in kW, time in seconds. ρ = 1000 kg/m³; g = 9.81 m/s².
Assumptions: incompressible water, one equivalent pipe, fixed Darcy factor, simplified quadratic pump curve, well-mixed reservoirs and constant plan areas. The flow root is solved by bisection.
The dashed tank trace is an approximate constant-net-flow analytic guide. Live events and changing head make the numerical path diverge. Educational model only, not an engineering design tool.
Procedural scene, shader sky and synthesized audio; no external 3D assets or audio files.
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Pump flow
—L/s
Outlet pressure
—bar
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—%
Source level
—m
Electrical demand
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Demand met
—%
Awaiting start0 / 6 events
Elevated tank · water levelm · simulation time
Live levelAnalytic guide*
Hydraulic throughputL/s · simulation time
Pump flowDemand