Test: Flow Through Open Channels - 1


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10 Questions MCQ Test GATE Civil Engineering (CE) 2023 Mock Test Series | Test: Flow Through Open Channels - 1

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Test: Flow Through Open Channels - 1 - Question 1

For a wide rectangular channel using Manning’s formula, the differential equation of gradually varied flow (with the usual notations) is given by

Detailed Solution for Test: Flow Through Open Channels - 1 - Question 1


For Chezy’s formula N = 3; M = 3
For Manning’s formula N = 10/3; M = 3
N is related to conveyance 

Test: Flow Through Open Channels - 1 - Question 2

The stage in a river is 4.8 m, the water surface- slope is 1 in 10,000 and the discharge in the stream is 600 m3/s. If the stage remains the same and the water surface slope is 1 in 14,400, then the discharge in the stream will be

Detailed Solution for Test: Flow Through Open Channels - 1 - Question 2


∴ 

Test: Flow Through Open Channels - 1 - Question 3

Water surface profiles that are asymptotic at one end and terminated at the other end would include

Detailed Solution for Test: Flow Through Open Channels - 1 - Question 3

The curves which are asymptotic at one end and terminated at the other end are M2 and H2.

Using Manning’s equation for wide rectangular channel.
 i.e. the water surface approaches normal depth line asymptotically
 i.e. the water surface meets the criticai depth line vertically in region 2 and 3.
 i.e. the water surface meets a very large depth as horizontal asymptote in region 1.
 it means that the surface profile meets the channel bed vertically in region 3.
Thus,
(i) M1, M2, S2 and S3 meet y0 line asymptotically
(ii) M1 and S1 curve tend to horizontal as y → ∞ 
(iii) M2, M3 and S2 meet yc line normally
(iv) M3 and S3 meet channel bed. normally.
The slope of:

  • C1 and C3 curves comes out to be equal to critical slope of the bed, if Chezy’s equation is used. Otherwise they are slightly curved.
Test: Flow Through Open Channels - 1 - Question 4

A hydraulic jump is always needed in case of

Detailed Solution for Test: Flow Through Open Channels - 1 - Question 4

Hydraulic jump is needed when critical depth line is to be crossed.

Test: Flow Through Open Channels - 1 - Question 5

For a hydraulically efficient rectangular section, the ratio of width to normal depth is

Detailed Solution for Test: Flow Through Open Channels - 1 - Question 5

For hydraulically efficient rectangular section.

Test: Flow Through Open Channels - 1 - Question 6

Consider the following statements in regard to the critical flow:
1. Specific energy is maximum for a given discharge.
2. Specific force is maximum for a given discharge
3. Discharge is maximum for a given specific force.
4. Discharge is maximum for a given specific energy.

Which of these statements are correct?

Detailed Solution for Test: Flow Through Open Channels - 1 - Question 6

At critical flow, specific energy and specific force is minimum for a given discharge. In other words for a given specific energy or specific force, discharge is maximum at critical flow.

Test: Flow Through Open Channels - 1 - Question 7

If F1 and F2 are the Froude numbers of flow before and after the hydraulic jump occurring in a rectangular channel, then

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Equating the equation (i) with inverse of equation (ii) we get,

Test: Flow Through Open Channels - 1 - Question 8

The momentum correction factor for a flow through open channel is given by

Test: Flow Through Open Channels - 1 - Question 9

The Froude number of a hydraulic jump is 5.5. The jump can be classified as a/an

Detailed Solution for Test: Flow Through Open Channels - 1 - Question 9

The hydraulic jumps in horizontal rectangular channels are classified into five categories based on Froude number F1 of the super-critical flow as: 

Test: Flow Through Open Channels - 1 - Question 10

A hydraulically efficient trapezoidal section of open channel flow carries water at the optimal depth of 0.6 m. Chezy coefficient is 75 and bed slope is 1 in 250. What is the discharge through the channel?

Detailed Solution for Test: Flow Through Open Channels - 1 - Question 10

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