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Applied Hydraulics Question Paper - Dec 18 - Civil Engineering (Semester 5) - Mumbai University (MU)
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Applied Hydraulics - Dec 18
Civil Engineering (Semester 5)
Total marks: 80
Total time: 3 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.
1. Solve any four
1.a.
What are merits of distorted models ?
(5 marks)
00
1.b.
Write a note on surface profiles in open channel.
(5 marks)
00
1.c.
Derive condition for most economical rectangular section
(5 marks)
00
1.d.
Derive expression for unit power of turbine
(5 marks)
00
1.e.
Write a note on hydroelectric power plant layout
(5 marks)
00
1.f.
Write a note on multistage pumps
(5 marks)
00
2.a.
A pipe of 300 mm diameter conveying 0.30 $m^3/s$ of water has a right angles, bend in a
horizontal plane. Find the resultant force exerted on the bend if the pressure at inlet and
outlet of the bend are 24.525 
and 23.544
(10 marks)
00
and 23.544
2.b.
Show by dimensional analysis, that the power P developed by a hydraulic turbine is given by:
(10 marks)
00
$\mathrm{P}=\rho \mathrm{N}^{3} \mathrm{D}^{5} \mathrm{f}\left[\frac{N^{2} D^{2}}{g H}\right]$
Where ρ is mass density of liquid, N is rotational speed, D is the diameter of runner, H is working head and g is gravitational accerelation.
3.a.
At a particular hydroelectric solution, the available head is 60 m and it is estimated that a discharge of 30$m^{3} / s$ will be available.It is purposed to install Francis turbine of specific speed 215 and these are to run at 550rpm with an overall efficiency of 85% .Make calculations for number of turbines and power available.
(10 marks)
00
3.b.
Find the power required to drive a centrifugal pump which delivers 0.04$m^{3} / s$ of water to a height of 20m through a 15cm diameter pipe and 100m long.The overall efficiency of the pump is 70% and coefficient of friction f=0.15 in the formula $\mathrm{h}_{\mathrm{f}}=\left(4 \mathrm{fLV}^{2} / 2 \mathrm{gd}\right)$
(10 marks)
00
4.a.
A 25mm diameter water jet exerts a force of 470N in the direction of flow against the flat plate which is held inclined at angle 30 degree to axis of stream.Make calculation for flow rate of water.
(7 marks)
00
4.b.
In hydroelectric generating plant, there are four similar turbines of total output 220MW.Each turbine is 90% efficient and runs at 100rpm under head of 65m.Find flow rate of any one turbine.
(7 marks)
00
4.c.
Derive an expression for energy loss during hydraullic jump.
(6 marks)
00
5.a. The discharge of water through a rectangular channel of width 8 m is 15 $m^3 /s$ when depth of flow of water is 1.2m. determine (1) specific energy of flowing water (2) Critical depth (3) critical velocity (4) minimum specific energy (10 marks) 00
5.b.
1 in 20 model of stilling basin, the height of hydraulic jump in the model is observed to be
20 cm. What would be corresponding height of jump in prototype. If energy dissipation in model is 0.1 KW.What would be the corresponding value in the prototype?
(10 marks)
00
6.a.
Derive condition for most economical circular section for maximum velocity.
(5 marks)
00
6.b.
Differentiate between open channel flow and pipe flow.
(5 marks)
00
6.c.
Derive expression for force exerted by jet on stationary curved plate when jet striking at centre
(5 marks)
00
6.d.
Write a note on NPSH
(5 marks)
00
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