The upstream head, measured as the water depth above the notch vertex, provides the hydraulic quantity used to calculate discharge. For a triangular notch, the resulting relationship is proportional to head raised to the 5/2 power, so changes in head strongly affect the calculated flow rate. Accurate head measurement is therefore central to reliable open-channel flow assessment.
The notch angle and discharge coefficient adjust the discharge relationship to the geometry and hydraulic behavior of the measuring device. Gravitational acceleration also enters the calculation. Together with the measured upstream head, these parameters determine the estimated discharge, allowing the same measurement principle to represent different triangular-weir configurations without relying on head alone.
Free-flow conditions support the discharge relationship used for the weir, because the upstream head can then be related to flow passing through the notch as an unobstructed hydraulic measurement. If the stated operating condition is not maintained, the head-to-discharge calculation may no longer represent the intended behavior. Engineers therefore consider flow conditions when evaluating measurement validity.
Engineers observe the upstream head above the notch vertex, identify the notch angle, and apply the discharge relationship with gravitational acceleration and the appropriate discharge coefficient. The calculated result gives the channel discharge. This procedure converts a water-level measurement into a flow estimate and can be used to assess hydraulic performance in controlled channel systems.
This device is particularly useful when engineers need to measure relatively low flows. Its use extends to channel calibration and laboratory systems, where a known relationship between upstream head and discharge supports hydraulic evaluation. The approach is therefore relevant when a project requires a practical flow measurement for small discharges rather than a general observation of water depth.
Measurements can support hydraulic evaluations in irrigation, drainage, and wastewater systems. Engineers may also use the device to calibrate channels or laboratory flow arrangements by comparing the observed upstream head with the calculated discharge. These applications make the method useful for checking how an open-channel system performs under the free-flow conditions required for the discharge relationship.