The Chézy Formula is a semi-empirical resistance equation which estimates mean flow velocity in open channel conduits. The relationship was conceptualized and developed in 1768 by French physicist and engineer Antoine de Chézy (1718–1798) while designing Paris's water canal system. Chézy discovered a similarity parameter that could be used for estimating flow characteristics in one channel based on the measurements of another. The Chézy formula is a pioneering formula in the field of fluid mechanics that relates the flow of water through an open channel with the channel's dimensions and slope. It was expanded and modified by Irish engineer Robert Manning in 1889. Manning's modifications to the Chézy formula allowed the entire similarity parameter to be calculated by channel characteristics rather than by experimental measurements. Today, the Chézy and Manning equations continue to accurately estimate open channel fluid flow and are standard formulas in various fields related to fluid mechanics and hydraulics, including physics, mechanical engineering, and civil engineering.