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B. Tech. (sEM rv) THEORY EXAMTNATTON, 2At4_15 HYDRAULICS & HYDRAUUC MACHINES Time : 3 Hours]

Note

l.

:

(I) @

[Total Marks : 100

Attempt all questions. Assume suitable data, if required.

Attempt any four partp of the following:

(a) (b)

5x410

Show that for a rectangurar channer with given area is most efficient when hydrauric radius is trar-ortne a"ptt of the flow. Differentiate between rigid and anuvial charurels. E*plain

dune and antidune bed forms with the help of neat sketches.

(c) (d) 1004111

Define - Hydraulic mean radius, hydraulic dept[ section factor and most efficient channel eross section.

Derive the dynamic equation ofgradually varied flow.

I Contd...

r

(e)

On what factors does the Manning's rugosity'corefficient depends.

(0

What do you understand by channel

of

constant

velocity. Derive the relevant formula.

2.

Attempt any two parts of the (a)

following:

2x10

:

2O

wide rectangular. channel carries a flow of 235 m3ls per meter width, the depth of flow being

A

1.5m. Calculate the rise of the floor level required to produce a critical flow condition. What is the corresponding fall in surface level. (b)

What do you understand by specific energy for a flow in open channel. Draw the specific energy diagram and describe its various characteristics.

(c)

Define conveyance of a channel. Find the discharge in a trapezoidal channel with a bed width of l0m, side slopes 1:1 and depth of flow of 0.2m under uniform

flow condition. Bed slope is lxl0+ and Manning's roughness coefficient : 0.025. Also find Chezy's coefficient at this dePth.

J.

Attempt any two parts of the following: ZxlA

(a)

r00411I

=

20

Sketch the G.V.F. Profile produced on

0) G)

Mild

(nr)

Critical Slope

Slope

Steep Slope

I Contd...

(b)

A rectangular channel with a bottom width of 4.0 m and a bottom slope of 0.0008 has a discharge of 1.50 m3 ls. In gradually varies flow in this channel, the depth at certain location is found to be 0.30m. Assuming

(c) 4.

:

0.016, determine the type of GVF profile. Derive the dynamic equation of GVF, state its various assumption, also give the limitation of GVF.

n

2xl0:20 Attempt any two parts of the following: (a) What do you understand by term "Hydraulic Jump"' Discuss the classification ofHydrarlic Jump and practical applications of Hydraulic JumP. (b) Ahorizontal rectangular channel of conslt. Wdth is fiued with a sluice gate.When the sluice gate is opened,water issues with a velocity of 6 mls and depth of 0.5 m

(c)

at the vena contracta.Determine wheather a hydraulic jump will form or not.If so,calculate the energy dissipated' Hydraulic jump is sometimes used as energy dissipater at the toe of the spillway of a dam, why? Discuss different ways for obtaining the hydraulic jump. Prove that relative height of the jump, depend only on flow corresponding supercritical conditions Frbude Number.

5.

Attempt any two parts of the following

(a) 0 G) (b) r004ru

:

2xl0=20

Dfferentiate bptween-Impulse and reaction turbine; Radial and axial flow turbine-

Write a note on characteristics curves for

Rotodynamic Pumps. Draw neat sketch of various shapes of draft tubes. Also, explain the theory of draft tube. I Contd...

I

(c) A pelton wheel turbine is to be designed for the

'1',-

following specifications

:

Shaft power :l I 775kW Head : 400 m, Speed :

750 rpm :86yo,jet overall efficiency diameter to wheer diameter ratio is not to exceed one sixth (l/6). Find.

0 G)

(iii)

The wheel diameter

The number ofjets required Diameter of thb jet

Given Kul

r0041u

= 0.985 and Ku1 :

0.45

lr37s0I

UPTU B.Tech Hydraulics & Hydraulic Machines NCE403 Sem ...

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