Agricultural Engineering / V-Notch Weir Calibration
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LABORATORY 15 · AGRICULTURAL ENGINEERING

90° V-Notch Sharp-Crested Weir Flow Rate & Discharge Coefficient (C_d)

Calibrate a 90° V-notch sharp-crested weir in an open irrigation flume and evaluate the weir discharge coefficient C_d and proportionality constant C_w. Explore interactive farm machinery simulation, irrigation hydraulics, and agricultural engineering telemetry.

FARM MACHINERY · SOIL & WATER · POST-HARVEST · STRUCTURES

Your virtual agricultural engineering laboratory.

MEASURED WEIR DISCHARGE Q—
FIELD & TEST CELL TELEMETRY

Ready to sample with H^2.5 = 0.021 m^2.5.

0.021 m^2.5
Weir notch angle θ: 90°

Adjust H^2.5, then execute agricultural trial.

Agricultural engineering telemetry and biosystems states are evaluated rigorously using 64-bit IEEE 754 precision. Residuals reflect ordinary least-squares regression across successive observations. Continuous data structures support high-fidelity agricultural and environmental modeling.

Agricultural assumptions and boundary condition limits

The 5/2 power law applies strictly for heads H > 0.05 m; below 5 cm, water surface tension and fluid viscosity dominate. Evaluated using a precision brass 90° V-notch plate mounted in a rectangular flume across water heads from 0.12 m to 0.28 m (H^2.5 from 0.005 to 0.045 m^2.5).

Agricultural apparatus & field instrumentation sensors.

90° Triangular Sharp-Crested Weir Plate

Precision milled brass plate with 90° notch angle and 45° downstream beveled knife edge.

Hydraulic Open-Channel Laboratory Flume

Recirculating water flume with wave-damping baffles and upstream calming section.

Vernier Point Gauge with Micrometer

Measures upstream water surface elevation H with 0.1 mm precision.

Primary Volumetric Gravimetric Tank

Captures discharged water over timed intervals to determine true benchmark flow rate Q.

Nappe Aeration Vent Pipes

Supplies ambient air beneath the falling nappe to prevent vacuum cling and calibration distortion.

Electromagnetic Reference Flow Meter

Monitors flume inflow rate continuously for flow stability verification.

FOLLOW THE METHOD

A reason behind every step.

Calibrate a 90° V-notch sharp-crested weir in an open irrigation flume and evaluate the weir discharge coefficient C_d and proportionality constant C_w. Standardized parameter settings: 0.005, 0.013, 0.021, 0.029, 0.037, 0.045 m^2.5.

01

Weir Zero Datum Setting

Fill the flume until water is exactly level with the vertex of the V-notch. Lower the vernier point gauge until its tip touches the meniscus at the notch vertex and record the zero datum reading H_0.

02

Calming Screen Alignment

Place mesh calming baffles 3.0 meters upstream of the weir to dissipate surface waves and establish uniform approach velocity.

03

Initial Flow Stabilization

Start the supply pump to establish an upstream head H = 0.120 m (H^2.5 = 0.0050 m^2.5), verifying that the nappe springs clear of the crest and is fully aerated.

04

Timed Volumetric Collection

Divert the weir discharge into the gravimetric weigh tank for exactly 60.0 seconds, measuring collected mass to calculate volumetric flow rate Q (m³/s).

05

Head Incrementation

Systematically increase pump flow across five additional stages up to H = 0.280 m (H^2.5 = 0.0450 m^2.5), logging H and Q for each trial.

06

Weir Coefficient Regression

Plot measured discharge Q against H^2.5, perform linear regression through the origin, and determine the Thomson weir discharge coefficient C_w and C_d.

YOUR NOTEBOOK · 0 OBSERVATIONS

Turn measurements into agricultural engineering insight.

See a complete example report ↗

Points are your recorded observations. The solid regression line validates V-Notch Weir Calibration mathematical scaling.

LINEAR REGRESSION FIT · y = mx + b
Q = C_w · H^2.5 = 1.3800 · H^2.5
#Head Raised to 2.5 Power H^2.5 (m^2.5)Measured Weir Discharge Q (m³/s)Head raised to 2.5 power H^2.5 (m^2.5)Discharge Q (m³/s)Remove

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CHECK YOUR UNDERSTANDING

Explain what the agricultural metrics mean.

What is the theoretical head exponent in the discharge equation for a triangular V-notch weir?

If head H over a 90° V-notch weir is 0.20 m and C_w = 1.38 m^0.5/s, what is the discharge Q?

What happens if the nappe behind a sharp-crested weir becomes de-aerated (vacuum forms)?

What is the standard angle for the most common triangular sharp-crested weir?