Hillside waterworks / 06:42 PM

Keep the terraces
flowing.

Balance pump output, stored water and the town’s changing demand before the service window closes.

● LIVE SYSTEM112 s CHALLENGETEEN / FIELD 15WINDY RIDGE

Starting profile

Station controls10 VARIABLES · SI UNITS

System briefingT−112 s

Start the pump, then watch tank level and town demand as the terraces wake up.

The science · model & assumptions

Core equations

Qcurve = Qmax × n × max(0, 1 − H/H₀); Qpump = min(Qcurve, Qspring)

Qleak = kₗ √h (approximate)

dh/dt = (Qpump − Qdelivered − Qleak) / A

p = ρg(z + h) / 100000 [bar]

P = ρgQpump(z + h) / η [kW]

Qspring = 0.037 + 0.001r [m³/s]

What the model assumes

One well-mixed tank with a horizontal water surface.
A simplified linear pump head-flow curve and constant efficiency.
Spring recharge is a stylised base flow plus a rainfall contribution.
Leakage follows an approximate square-root head law.
Pressure is hydrostatic. Pipe friction, water hammer and local losses are omitted.
Town demand is a prescribed event schedule, not a real utility forecast.

Numerics

Fixed time step: 1/120 s. A constant-net-flow analytical line is shown beside the live tank-level trace as a reference; it intentionally ignores the changing pump curve and event pulses.

CREDITS PLACEHOLDER

Tank level

6.20m

usable storage

Outlet pressure

2.37bar

hydrostatic estimate

Pump flow

0.041m³/s

source-limited

Town demand

0.038m³/s

requested flow

Leak loss

0.002m³/s

branch loss

Pump input

12.3kW

estimated electrical

Service delivered

100%

of requested flow

Grid headroom

21.7kW

limit minus input

THE GOLDEN RESERVOIRUPPER CATCHMENT · TERRACE DISTRICT

00:00READY / PAUSED

MISSION / HOLD THE LINEFinish with at least 4.0 m in the service tank.

DRAG TO ORBIT · SCROLL TO ZOOM

Service tank / level

LiveAnalytic ref.

WATER HEIGHT · mTIME · s

Flow balance

PumpDemandLeak

VOLUME RATE · m³/sTIME · s

FIELD TOUR · 01 / 07

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