Near the downstream end of a river spillway, a hydraulic jump often forms, as illustrated in the figure below. The velocity of the channel flow is reduced abruptly across the jump. (a) Using the conservation of mass and linear momentum principles, derive the following expression for h2: 2V h + + 2 (b) The loss of available energy across the jump can also be determined if energy conservation is considered. Derive the loss expression: g(h, - hi) 4h,h2 jump loss h2 Figure Q

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Near the downstream end of a river spillway, a hydraulic jump often forms, as illustrated
in the figure below. The velocity of the channel flow is reduced abruptly across the jump.
(a) Using the conservation of mass and linear momentum principles, derive the
following expression for h2:
2Vh,
hy
+
2
(b) The loss of available energy across the jump can also be determined if energy
conservation is considered. Derive the loss expression:
8(h, - h)
jump loss =
h2
Figure Q
Transcribed Image Text:Near the downstream end of a river spillway, a hydraulic jump often forms, as illustrated in the figure below. The velocity of the channel flow is reduced abruptly across the jump. (a) Using the conservation of mass and linear momentum principles, derive the following expression for h2: 2Vh, hy + 2 (b) The loss of available energy across the jump can also be determined if energy conservation is considered. Derive the loss expression: 8(h, - h) jump loss = h2 Figure Q
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