b. Figure 3.2 is the flow of a channel having a large width, b, under a sluice gate. Assuming frictionless steady flow with negligible upstream kinetic energy, derive a formula for the dimensionless flow ratio Q2 (y2 b? g) as a function of the ratio2/y,. Show by differentiation that the maximum flow rate occurs at y2 = Gate V2 Figure 3.2 : A Schematic diagram of flow downstream of sluice gate

Structural Analysis
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Chapter2: Loads On Structures
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b. Figure 3.2 is the flow of a channel having a large width, b, under a sluice gate. Assuming frictionless
steady flow with negligible upstream kinetic energy, derive a formula for the dimensionless flow ratio
Q?
(y2 b2 g)
as a function of the ratio2/y, . Show by differentiation that the maximum flow rate occurs at
Y2 =
5V,
Gate
V2
Figure 3.2 : A Schematic diagram of flow downstream of sluice gate
Transcribed Image Text:b. Figure 3.2 is the flow of a channel having a large width, b, under a sluice gate. Assuming frictionless steady flow with negligible upstream kinetic energy, derive a formula for the dimensionless flow ratio Q? (y2 b2 g) as a function of the ratio2/y, . Show by differentiation that the maximum flow rate occurs at Y2 = 5V, Gate V2 Figure 3.2 : A Schematic diagram of flow downstream of sluice gate
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