The Parshall Flume is a specially shaped open channel structure used to measure flow in unpressurized conduits and irrigation canals. By contracting the sidewalls and creating a drop in the flume invert, the structure forces flow from subcritical to supercritical, establishing critical depth near the crest. Under free-flow conditions, discharge (Q) depends solely on the water depth measured at an upstream gauge location $(H_a):$ $Q = C \cdot H_a^n$ Where $C$ and $n$ are empirical coefficients determined by throat width $W.$ For standard throat widths (e.g., W between $0.3\text{ m}$ and $2.4\text{ m}),$ $n$ $\approx 1.522 \cdot W^{0.026}.$ When downstream tailwater elevation rises such that the submergence ratio $(H_b / H_a)$ exceeds critical thresholds (0.6 for small flumes, 0.7 for larger flumes), flow becomes submerged, requiring a reduction factor correction: $Q_{submerged} = Q_{free} - Q_{correction}$ In major canal delivery networks and urban wastewater channels across Ind...