Water discharging into a 11m wide rectangular channel from a sluice gate is observed to have undergone a hydraulic jump. The flow depth and velocity before the jump are 0.8 m and 7.5 m/s, respectively. Determine a) the flow depth after the hydraulic jump b) the Froude number after the jump c) the energy loss through the jump d) the flow condition upstream and downstream of the jump (subcritical or supercritical

a) , b) , c) 20.5 % of initial energy is lost through the jump, d) Before the jump: Supercritical (Fr > 1), After the jump: Subcritical (Fr < 1).

Explanation:

a) The Froude number before the jump is:

The depth after the jump is:

b) The speed after the hydraulic jump is derived from the continuity equation:

The Froude number after the hydraulic jump is:

c) The head loss is:

The dissipation ratio is obtained afterwards:

20.5 % of initial energy is lost through the jump.

d) The flow conditions are described below:

Before the jump: Supercritical (Fr > 1)

After the jump: Subcritical (Fr < 1)

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