Designing non-silting and non-scouring unlined alluvial channels requires balancing sediment transport capacity with channel conveyance. Legacy design relies on two classical empirical frameworks: Kennedy’s Theory: Defines critical velocity $(v_0)$ to prevent silting based on water depth $(y):$ $$v_0 = 0.55 \cdot C_m \cdot y^{0.64}$$ Where $C_m$ is the critical velocity ratio. Kennedy assumes eddies generating silt-suspension forces originate purely from the channel bed. Lacey’s Regime Theory: Recognizes that silt-supporting eddies originate from both the bed and vertical banks. Lacey defines regime relationships using a silt factor $(f = 1.76 \cdot \sqrt{d_{mm}}):$ $$v = \left(\frac{Q \cdot f^2}{140}\right)^{1/6},$$ $$\quad P = 4.75 \cdot \sqrt{Q},$$ $$\quad R = 0.48 \cdot \left(\frac{Q}{f}\right)^{1/3}$$ Where $P$ is wetted perimeter, $R$ is hydraulic mean radius, and $Q$ is design discharge. Large unlined canal systems in the Indo-Gangetic plains constructed using empirical...