Rapidly Varied Flows Flashcards

1
Q

How can Froude number be calculated?

A

Fr=U/√gh_m

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2
Q

What is the shallow water wave velocity?

A

The speed at which a small free-
surface disturbance propagates up- or down-stream in an open
channel flow

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3
Q

What does sub-critical flow encounter?

A

Sub-critical flow encounters increased slope or vice versa

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4
Q

What is controlled in sub-critical flow?

A

Downstream

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5
Q

What is the flow like in sub-critical conditions?

A

‘Tranquil’ or ‘slow’

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6
Q

What part of the channel is controlled in super-critical flow?

A

Upstream

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7
Q

What defines rapidly varied flows in fluid mechanics?

A

Rapid changes in depth and velocity over short distances, characterized by complex fluid phenomena

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8
Q

What is the significance of the Froude number in scale modelling of flows?

A

It represents the dynamics of the flow, ensuring lab models accurately capture those dynamics by matching the Froude number with the full-scale

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9
Q

How is the scale factor in fluid dynamics defined?

A

The ratio of characteristic length at full scale to the corresponding length in the model

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10
Q

What is the critical depth in open channel flow?

A

The depth at which the Froude number equals 1, distinguishing between sub-critical and super-critical flows

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11
Q

How does the flow change at critical depth?

A

Below critical depth, the flow is super-critical (faster); above it, the flow is sub-critical (slower)

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12
Q

What characterizes a hydraulic jump?

A

A rapid transition from super-critical to sub-critical flow, with sudden change in depth, air entrainment, and energy dissipation

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13
Q

What factors contribute to energy dissipation in a hydraulic jump?

A

Mixing, air entrainment, and the formation of a ‘roller’ contribute to energy loss

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14
Q

What are the typical efficiencies of energy dissipation in a hydraulic jump?

A

Between 15-55%

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15
Q

What purposes do control structures like sluice gates serve?

A

Controlling water depth, bed stabilization, and flood control

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16
Q

Under what assumption is Bernoulli’s equation applied to sluice gates?

A

Energy losses due to friction are negligible

17
Q

How can you calculate the energy dissipated in the jump per unit time?

A

P_d=⍴g∆H_1Q

18
Q

How does velocity scale?

A

√𝜆

19
Q

How can scale factor be found?

A

𝜆=L_F/L_M

20
Q

In a supercritical flow what is affected?

A

Downstream only

21
Q

What are most river flows in England classified as?

A

Sub-critical

22
Q

If h>h_c then flow is?

A

Subcritical

23
Q

If h<h_c then flow is?

A

supercritical

24
Q

If s>s_c the slope is?

A

Steep

25
Q

If s<s_c the slope is?

A

Mild

26
Q

What is the Belanger equation?

A

h_2/h_1=(√(1+8Fr_1^2) - 1)/2