Question

is released from under a vertical gate into a 2-mwide lined rectangular channel. The gate opening is 50 cm, and the flow rate into the channel is 10 m3/s. The channel is lined with reinforced concrete and has aManning roughness coefficient of 0.015, a horizontal slope, and merges with a river where the depth of flow is 3.5 m. Does a hydraulic jump occur in the lined channel

Answer 1

hello your question is incomplete attached below is the complete question

answer: There is a hydraulic jump

Step-by-step explanation:

First we have to calculate the depth of flow downstream of the gate

y1 =
`C_(c) y_(g)` ----------- ( 1 )

Cc ( concentration coefficient ) = 0.61 ( assumed )

Yg ( depth of gate opening ) = 0.5

hence equation 1 becomes

y1 = 0.61 * 0.5 = 0.305 m

calculate the flow per unit width q

q = Q / b ----------- ( 2 )

Q = 10 m^3 /s

b = 2 m

hence equation 2 becomes

q = 10 / 2 = 5 m^2/s

next calculate the depth before hydraulic jump y2 by using the hydraulic equation

answer : where y1 < y2 hence a hydraulic jump occurs in the lined channel

attached below is the remaining part of the solution