Download VTU BE 2020 Jan CE Question Paper 17 Scheme 4th Sem 17CV43 Applied Hydraulics

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Fourth Semester B.E. Degree Examination, Dee.101=9/Jan.2020
Applied Hydraulics
Time: 3 hrs. Max. Marks: 100
Note: Answer any FIVE full questions, choosing ONE full question from each module.
7:1

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v
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p VD D
Ri

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`1"
where R = resistance, p = density, V = velocity of flow, D = diameter, j_.t = viscosity and
? + H = height. (10 Marks)
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4 a. For most economical trapezoidal section show that half of the top width is equal to one of
fl the side slope length. (06 Marks)
.Y
b. Explain with neat sketch the specific energy curve. (06 Marks)

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1E.
c. A discharge of 18 in
3
/s flows through a rectangular channel 6m wide at a depth of 1.6 m.
.,

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Find: (i) specific energy (ii) critical depth (iii) critical velocity (iv) value of minimum
oQ
? 5 t)
Module-3
5 a. Define the term hydraulic jump Derive an expression for a hydraulic jump in a horizontal

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rectangular channel. (10 Marks)
0
b. Find the slope of the free water surface in a rectangular channel of width 20 m having depth
of flow 5m. The discharge through the channel is 50 m
3

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/s. The bed of the channel is having a
slope of 1 in 4000. Take the value of Chezy's constant C = 60. (10 Marks)
Module-1
1 a. Define the terms: (i) Model (ii) Prototype
(iii) Model analysis (iv) Hydraulic similitude (06 Marks)

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b. In 1 in 40 model of spillway the velocity and discharge are 2m/s and 2.5 m
3
/s. Find the
corresponding velocity and discharge in the prototype. (04 Marks)
(

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H
c.
Using Buckingham's it - theorem, derive the following relationship R = pV
2
1)'(1)

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OR
2 a. Explain the types of similarities in model analysis. (06 Marks)
b. A pipe of diameter 1.8 m is required to transport an oil of specific gravity 0.8 and viscosity
0.04 poise at the rate of 4 m
3

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/s. Tests were conducted on a 20 cm diameter pipe using water
at 20?C. Find the velocity and rate of flow in model, viscosity of water at 20?C is 0.01 poise.
(08 Marks)
c.
Explain the experimental method of determination of meta-centric height. (06 Marks)

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Module-2
3 a. Distinguish between pipe flow and open channel flow. (04 Marks)
b. Derive Chezy's equation for uniform flow in open channel with usual notations. (08 Marks)
c. A trapezoidal channel with side slopes 3H:2V has to be designed to carry 10 m
3

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/s at velocity
of 1.5 m/s, so that the amount of concrete lining for the bed and sides is minimum. Find:
(i) The wetted perimeter (ii) Slope of bed if Manning's N = 0.014 (08 Marks)
specific energy. (08 Marks)
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USN

17CV43

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Fourth Semester B.E. Degree Examination, Dee.101=9/Jan.2020
Applied Hydraulics
Time: 3 hrs. Max. Marks: 100
Note: Answer any FIVE full questions, choosing ONE full question from each module.

--- Content provided by​ FirstRanker.com ---

7:1
4, "
v
^
p VD D

--- Content provided by​ FirstRanker.com ---

Ri
`1"
where R = resistance, p = density, V = velocity of flow, D = diameter, j_.t = viscosity and
? + H = height. (10 Marks)
it

--- Content provided by FirstRanker.com ---

L
0
?...
cl
)

--- Content provided by‌ FirstRanker.com ---

-0
c
r
te _ c

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-0
?r-
5
sa,
cts

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0 ,
k
)

c

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OR
o
4 a. For most economical trapezoidal section show that half of the top width is equal to one of
fl the side slope length. (06 Marks)
.Y

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b. Explain with neat sketch the specific energy curve. (06 Marks)
1E.
c. A discharge of 18 in
3
/s flows through a rectangular channel 6m wide at a depth of 1.6 m.

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.,
Find: (i) specific energy (ii) critical depth (iii) critical velocity (iv) value of minimum
oQ
? 5 t)
Module-3

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5 a. Define the term hydraulic jump Derive an expression for a hydraulic jump in a horizontal
rectangular channel. (10 Marks)
0
b. Find the slope of the free water surface in a rectangular channel of width 20 m having depth
of flow 5m. The discharge through the channel is 50 m

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3
/s. The bed of the channel is having a
slope of 1 in 4000. Take the value of Chezy's constant C = 60. (10 Marks)
Module-1
1 a. Define the terms: (i) Model (ii) Prototype

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(iii) Model analysis (iv) Hydraulic similitude (06 Marks)
b. In 1 in 40 model of spillway the velocity and discharge are 2m/s and 2.5 m
3
/s. Find the
corresponding velocity and discharge in the prototype. (04 Marks)

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(
H
c.
Using Buckingham's it - theorem, derive the following relationship R = pV
2

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1)'(1)
OR
2 a. Explain the types of similarities in model analysis. (06 Marks)
b. A pipe of diameter 1.8 m is required to transport an oil of specific gravity 0.8 and viscosity
0.04 poise at the rate of 4 m

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3
/s. Tests were conducted on a 20 cm diameter pipe using water
at 20?C. Find the velocity and rate of flow in model, viscosity of water at 20?C is 0.01 poise.
(08 Marks)
c.

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Explain the experimental method of determination of meta-centric height. (06 Marks)
Module-2
3 a. Distinguish between pipe flow and open channel flow. (04 Marks)
b. Derive Chezy's equation for uniform flow in open channel with usual notations. (08 Marks)
c. A trapezoidal channel with side slopes 3H:2V has to be designed to carry 10 m

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3
/s at velocity
of 1.5 m/s, so that the amount of concrete lining for the bed and sides is minimum. Find:
(i) The wetted perimeter (ii) Slope of bed if Manning's N = 0.014 (08 Marks)
specific energy. (08 Marks)

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1 oft
17CV43
OR
6 a. Explain the following slope profiler, (i) Critical slope (ii) Mild slope (iii) Steep slope
and also draw profile of MI, M2 and M3. (10 Marks)

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b. A sluice gate discharges water into a horizontal channel with a velocity of 5m/s and depth of
flow is 0.4 m. The width of the channel is 6m. Determine whether a hydraulic jump will
occur, and if so find its height and loss of energy per kg of water. Also determine the power
lost in the hydraulic jump. (10 Marks)
Module-4

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7 a. Find an expression for the efficiency of a series of moving curved vanes when a jet of water
strokes the vanes at one of the tips. Prove that maximum efficiency is 50% when u > v.
(10 Marks)
b. A pelton wheel has to develop 13200 KW under a net head of 820 m while running at a
speed of 600 rpm. If the coefficient of jet C

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v
= 0.98, speed ratio (I) = 0.46 and jet diameter is
?
1
of wheel diameter, calculate (i) pitch circle diameter (ii) the diameter of the jet

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16
(iii) quantity of water supplied to the wheel (iv) Number of jets required. Assume overall
efficiency as 85%. (10 Marks)
OR
8 a. Draw a neat sketch of a layout of hydroelectric power plant and explain the functions of

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each component. Also define different heads. (10 Marks)
b. A jet of water having a velocity of 35 m/s impinges on a series of vanes moving with a
velocity of 20 m/s. The jet makes an angle of 30? to the direction of vanes when entering
and leaves at an angle of 120?. Draw the triangles of velocities at inlet and outlet and find,
(i) The angles of vanes tips so that water enters and leaves without shock.

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(ii) The work done per unit weight of water entering the vanes
(iii) Efficiency. (10 Marks)
Module-5
9 a. What is a draft tube? What are the functions of draft tube? (04 Marks)
b. Derive the expression for minimum starting speed of a centrifugal pump. (06 Marks)

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e. A Kaplan turbine develops 24647.6 KW power at an average head of 39 m. Assuming the
speed ratio of 2, flow ratio of 0.6, diameter of boss equals to 0.35 times the diameter of
runner and an overall efficiency of 90%, calculate the diameter, speed and specific speed of
the turbine. (10 Marks)
OR

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10 a Explain manometric efficiency, mechanical efficiency and overall efficiency of a centrifugal
pump. (06 Marks)
b. Define unit head, unit discharge and unit power. (04 Marks)
c. A centrifugal pump is to deliver 0.12 m
3

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/s at a speed of 1450 rpm against a head of 25 m.
The impeller diameter is 250 mm, width at outlet is 50 mm. The manometric efficiency is
75%. Determine the vane angles at the outer periphery of the impeller. (10 Marks)
? ? '
I

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