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Hydraulics & Fluid Mechanics

Weir Flow Simulator

A dynamic hydraulics laboratory to simulate free-surface flow over a rectangular suppressed weir. Control weir geometry, head over crest, and discharge presets to visualize nappe profiles, crest velocities, and flow curves.

Weir Type
Sharp-Crested
Cd = 0.60
Discharge
1.25 m³/s
Free discharge
Daily Output
108.2 ML/d
Estimated volume

Parameters

Weir Preset Type
Animated head sweep

Governing Equations

Francis Equation (Weir Flow)
Q = (2/3) * Cd * L * sqrt(2g) * H^1.5
Flow Velocity at Crest
V = Q / (L * H)
Flow Cross-Sectional Area
Ac = L * H

At the current head H = 0.50 m, the flow area is 1.00 m².

The average velocity over the crest is estimated at 1.25 m/s.

Francis Formula assumes a rectangular suppressed weir with vertical faces and free discharge (no downstream submergence).

Linked Flow Diagram

H = 0.50 mV = 1.25 m/sWEIRUpstream BasinDischarge PoolL = 2.0 m (Width)
Flow Rate (Q)
1.253m³/s
Daily Volume
108.25ML/day
Crest Velocity
1.25m/s
Crest Flow Area
1.00

Flow Rate & Velocity vs Head

Simulation Data

Head H (m)Flow Rate (m³/s)Velocity (m/s)Daily Volume (ML/d)
0.050.0400.403.4
0.250.4430.8938.3
0.451.0701.1992.4
0.651.8571.43160.4
0.852.7771.63239.9
1.053.8131.82329.4
1.254.9521.98427.9
1.456.1872.13534.6
1.657.5102.28648.9
1.858.9172.41770.4
2.0510.4012.54898.6
2.2511.9602.661033.3
2.4513.5892.771174.1
2.6515.2872.881320.8
2.8517.0492.991473.1