Broad-crested weirs are robust discharge measurement structures installed across open channels. Flow over the flat crest accelerates to critical depth ($y_c$), where Froude number $Fr = 1,$ creating a unique relationship between upstream energy head (H) and discharge (Q). For a rectangular broad-crested weir of crest width b, the critical depth is $y_c = \frac{2}{3} \cdot H.$ Substituting $y_c$ into the critical flow equation ($Q = b \cdot \sqrt{g \cdot y_c^3}$) yields the ideal discharge relation: $$Q = C_d \cdot \left(\frac{2}{3}\right)^{3/2} \cdot \sqrt{g} \cdot b \cdot H^{3/2}$$ $$\approx 1.705 \cdot C_d \cdot b \cdot H^{3/2}$$ Where $C_d$ is the discharge coefficient accounting for boundary layer friction losses along the weir crest. In heavy sediment-laden canals across India, conventional sharp-crested weirs quickly trap silt, degrading measurement precision. Modern irrigation branch networks deploy self-cleaning broad-crested weirs equipped with non-contact ultrasonic ...