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When a surge is to be said ? in a flow through a sluice in a large reservoir the velocity downstream is 6.33m/s while the flow depth is 0.0563m determine the downstream condition if a hydraulic jump takes place downstream calculate the energy dissipated in the jump?
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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.
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When a surge is to be said ? in a flow through a sluice in a large reservoir the velocity downstream is 6.33m/s while the flow depth is 0.0563m determine the downstream condition if a hydraulic jump takes place downstream calculate the energy dissipated in the jump?
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When a surge is to be said ? in a flow through a sluice in a large reservoir the velocity downstream is 6.33m/s while the flow depth is 0.0563m determine the downstream condition if a hydraulic jump takes place downstream calculate the energy dissipated in the jump? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about When a surge is to be said ? in a flow through a sluice in a large reservoir the velocity downstream is 6.33m/s while the flow depth is 0.0563m determine the downstream condition if a hydraulic jump takes place downstream calculate the energy dissipated in the jump? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When a surge is to be said ? in a flow through a sluice in a large reservoir the velocity downstream is 6.33m/s while the flow depth is 0.0563m determine the downstream condition if a hydraulic jump takes place downstream calculate the energy dissipated in the jump?.
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