A channel has a slope of 1:5000 and a discharge of 20 m/s. Determine the type of flow (mild, critical or steep)

To determine the type of flow in the channel, we can calculate the Froude number (Fr) using the equation:

Fr = V / (g * D)^0.5

Where:
Fr = Froude number
V = velocity of flow (m/s)
g = acceleration due to gravity (9.81 m/s^2)
D = flow depth (assumed to be 1)

Given:
V = 20 m/s
g = 9.81 m/s^2
D = 1

Fr = 20 / (9.81 * 1)^0.5
Fr = 20 / (9.81)^0.5
Fr = 20 / 3.13

Fr = 6.4

Since the Froude number is greater than 1, the flow in the channel is considered to be supercritical or steep flow.