Headwaters — MySimulator

Highland supply / Sector 04

Headwaters

Cliffside waterworks · Golden hour · Windy

PRESSURISED MAIN PUMP / DRIVE STORAGE

00:00 / 02:00 · FLOW 0.0 L/s

System eventA new event has started.

Tour

Control room

TEEN / STANDARD

SPEED00:00

System configuration10 LIVE VARIABLES

z₁Source elevation42m z₂Tank elevation80m DPipe diameter18cm LPipe length700m PPump power18kW ηEfficiency78% QdWater demand8.0L/s VmaxTank capacity160m³ sStart threshold62% λPipe leakage4%

Changes recalculate the hydraulic operating point immediately. The controller restarts the pump below the selected tank threshold.

THE SCIENCE / MODEL NOTES

Core equations

A = πD² / 4 · pipe cross-sectional area (m²)

v = Q / A · mean pipe velocity (m/s)

hᶠ = (fL/D + Kₘ) · v² / (2g) · Darcy–Weisbach plus minor losses (m)

Pₕ = ρgQ(Hₛ + hᶠ) · useful hydraulic power (W)

dV/dt = Qᵢₙ − Qd · tank mass balance (m³/s)

Assumptions

Water density ρ = 1,000 kg/m³ and g = 9.81 m/s².
Friction factor f = 0.025 and aggregate minor-loss coefficient Kₘ = 3.0 are fixed illustrative values.
The pump curve is represented by a constant useful-power source; flow is solved by bisection from the power equation.
Pipe leakage is a configured fraction of pump flow; the tank is well-mixed and demand is a prescribed withdrawal.

Honest simplifications

This is an educational, approximate network model, not a design tool. It omits transient water hammer, changing friction factor, cavitation, detailed pump curves, elevation profile losses, and dynamic pressure zones. The scene is schematic and not surveyed to scale.

Units: Q in m³/s or L/s, elevations and head in m, pressure-equivalent losses in m of water, power in kW.

Live telemetry1/120 s solver

Tank level

45.0%

Pump delivery

0.0L/s

Service level

100%

Pipe head loss

0.0m

Pump power

0.0kW

Leak loss

0.0m³

Reservoir balance

Live tank Steady-rate model

SIM TIME · sLEVEL · %

Flow & demand

Supplied Required

SIM TIME · sFLOW · L/s

Demand is rising

Supply secured