8.5.1.2. Lindley’s Method Lindley (9) was the first to recognise that width, depth, and the slope of a channel can all adjust in an alluvial channel for a given set of conditions. He stated that when an artificial channel is used to carry sediment-laden water, both the bed and banks either scour or silt and thus change depth, gradient, and width until a state of balance is attained at which condition the channel is said to be in regime.
The observed width, slope, and depth of the Lower Chenab canal system were analysed by Lindley (9) using n = 0.025 and side slopes as 0.5 H : 1V. He obtained the following equations :
U = 0.57 h0.57
(8.20)
U = 0.27 B0.355
(8.21)
From Eqs. (8.20) and (8.21), one can get
B = 7.8 h1.61
(8.22)
It should be noted that these equations do not include the effect of sediment size on the multiplying coefficient. Woods (10) also proposed equations similar to Eqs. (8.20) and (8.21).