When a surge is to be said ? in a flow through a sluice in a large res...
Surge in Flow Through a Sluice in a Large Reservoir
Downstream Conditions
When a surge is to be said in a flow through a sluice in a large reservoir, the downstream condition can be determined by calculating the Froude number:
Froude number (Fr) = Velocity (V) / (Gravity x Depth (d))
Fr = 6.33 / (9.81 x 0.0563) = 11.32
Since the Froude number is greater than 1, a hydraulic jump takes place downstream.
Energy Dissipated in the Jump
The energy dissipated in the jump can be calculated using the following formula:
Energy dissipated = (V22 - V12) / (2 x Gravity)
Where:
- V1 = Velocity before the jump
- V2 = Velocity after the jump
- Gravity = Acceleration due to gravity (9.81 m/s2)
Assuming that the depth of flow remains constant after the jump:
V1 = 6.33 m/s
V2 = (2 x Gravity x Depth) - V1
V2 = (2 x 9.81 x 0.0563) - 6.33 = 1.75 m/s
Therefore, the energy dissipated is:
(1.752 - 6.332) / (2 x 9.81) = 1.94 m
This means that the hydraulic jump has dissipated 1.94 meters of energy, which is significant in terms of reducing the velocity and energy of the flow downstream.