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QUESTION: 1

A right-angled triangular channel symmetrical in section about the vertical carries a discharge of 5 m^{3}/s with a velocity of 1.25 m/s. What is the approximate value of the Froude number of the flow?

Solution:

We know that,

Q = AV

⇒ 5 = A x 1.25 ⇒ A = 4 m^{2}

For a symmetrical right angled triangular channel,

m = 1

∴ A = my^{2} = 1 x y^{2} = y^{2}

T = 2my = 2 x 1 x y = 2y

But A = 4 m^{2}

⇒ y^{2} = 4 ⇒ y = 2 m

QUESTION: 2

A rectangular channel is 5 m wide and 3 m deep. Water is flowing in the channel for a depth of 2.5 m. The hydraulic radius is

Solution:

QUESTION: 3

Flow depths across a sluice gate are 2.0 m and 0.5 m. What is the discharge (per metre width)?

Solution:

QUESTION: 4

Given that

S_{0} = slope of the channel bottom

S_{e} = slope of the energy line

F = Froude number

the equation of gradually varied flow is expressed as

Solution:

QUESTION: 5

A rectangular channel is 6 m wide and discharges 30 m^{3}s^{-1}. The upstream depth is 2.0 m, acceleration due to gravity is 10 ms^{-2}. Then, what is the specific energy (approximate)?

Solution:

We know that,

Q = AV

⇒ 30 = 6 x 2 x V

⇒ \/ = 2.5 m/s

The specific energy may be given as,

QUESTION: 6

Most efficient channel section is

Solution:

QUESTION: 7

For a smooth hump in a subcritical flow to function as a broad crested weir, the height ΔZ of the hump above the bed must satisfy which one of the following?

(E_{1} = Specific head upstream of the hump, E_{c} = Specific head at the critical" depth y_{c}) (Neglect friction effects)

Solution:

If the flow is subcritical, then after the introduction of hump the specific energy will decrease by ΔZ (height of hump).

E_{0} ≤ E_{1} - ΔZ

⇒ ΔZ ≤ (E_{1} - E_{0})

QUESTION: 8

A hydraulic jump occurs at the top of a spillway. The depth before jump is 0.2 m. The sequent depth is 3.2 m. What is the energy dissipated in m (approximate)?

Solution:

The energy dissipation is given by,

QUESTION: 9

What is the normal depth in a wide rectangular channel carrying 0.5 m^{2}/s discharge at a bed slope of 0.0004 and Manning’s n = 0.01?

Solution:

For a wide rectangular channel, the hydraulic radius (F) is approximately equal to the depth of flow. By Manning’s equation, we have,

QUESTION: 10

Match List-I (Flow section type) with List-ll (Critical discharge is proportional to) where y is the depth of flow-and select the correct answer using the codes given below the lists:

Solution:

### Flow Dynamics in Open Channels and Rivers (Part - 2)

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### Flow Dynamics in Open Channels and Rivers (Part - 1)

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### Flow Dynamics in Open Channels and Rivers (Part - 4)

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