Estimated discharge through the sluice
Ideal jet velocity
Q = Cᵈ A √(2gh) · A = gate width × opening · Cᵈ = 0.62
v = √(2gh) is Torricelli's ideal efflux speed from Bernoulli's equation. Q = Cᵈ A v estimates volumetric discharge. The displayed live flow uses gate width 2.2 m, discharge coefficient 0.62 and gravity 9.81 m/s².
Assumptions: incompressible water, quasi-steady flow, a free jet, upstream speed negligible, and the head measured between upstream free surface and outlet centre. The coefficient lumps contraction and losses into one empirical factor.
Simplifications: the four lock pools are stylized level surfaces; gates do not solve transient hydraulics, turbulence, leakage, boat displacement or feedback between adjacent chambers. The live numbers are an educational estimate, not an engineering design tool.
Closed-form checks: v(2 m) = √(2·9.81·2) ≈ 6.264 m/s; Q for A=1.5 m² and h=2 m ≈ 5.826 m³/s; a 40 m³ chamber at Q=2 m³/s would exchange 20 s.
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Use the science overlay to vary gate opening and hydraulic head. The reported flow is based on Torricelli's law with a discharge coefficient.