Hall Ticket No Question Paper Code: ACE011
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
Four Year B.Tech V Semester End Examinations (Regular) November, 2018
Regulation: IARE R16
HYDRAULICS AND HYDRAULIC MACHINES
Time: 3 Hours Max Marks: 70
Answer ONE Question from each Unit
All Questions Carry Equal Marks
All parts of the question must be answered in one place only
UNIT I
1. A channel is designed to carry a discharge of 20 m3/s with Manning's n 0.015 and bed slope
of 1 in 1000 . Find the channel dimensions for the most efficient section if the channel is
Trapezoidal side slope p1
3

Rectangular.
A rectangular channel 2 m deep and 8 m wide is running full of water. The slope of the channel
bed is 1 in 950. Take Chezy's constant(C) as 50. Calculate the discharge through the channel.

2. Calculate the specific energy, critical depth and the velocity of the flow if the discharge of the
flow is 10 m3/s in a cement lined rectangular channel 2.5m wide with 2 m depth of water. Is the
given flow is sub critical or super critical?
A power canal of trapezoidal section has to be excavated through hard clay at the least cost.
Determine the dimensions of the channel Given: discharge equal to 14 bed slope 1/2500,
Manning's n 0.02.
UNIT II
3. Explain the different types of similarities that must exist between a prototype and its model.

The resistance R experienced by a partially submerged body depends upon the velocity length
viscosity mass density and acceleration due to gravity Obtain a dimensionless
expression for R. Using Buckingham- theorem.
4. Using Buckingham's theorem, determine the expression for velocity of a fluid flowing through
a circular orifice which depends on head causing the flow diameter of the orifice
coefficient of viscosity mass density and acceleration due to gravity
A 7.2 m height and 15 m long spill way discharges 94 m3/s discharge under a head of 2.0 m. If
a 1:9 scale model of this spillway is to be constructed, determine model dimensions, head over
spillway model and the model discharge. If the model experiences a force of 7500 determine
force on the prototype.
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UNIT III
5. Explain in detail the force exerted by a jet on a moving plate with a neat sketch.
Find the force exerted by a jet of water of diameter 7.5 cm on a stationary flat plate with a
velocity of 20 m/sec.
Normally At an angle of 450
6. Derive an expression for the impact of jet hitting a moving symmetrical curved vane at its center
with a neat sketch.
A nozzle has an exit diameter of 15 mm and discharges water into the atmosphere. The gauge
pressure behind the nozzle is 400kPa. The coefficient of velocity is 0.98 and there is no contraction
of the jet. The jet hits a stationary flat plate normal its direction. Determine the forces on the
plate. The density of water is 1000 kg/m3. Assume the velocity of approach into the nozzle is
negligible.
UNIT IV
7. The following data pertain to a Kaplan turbine. Power available at shaft 8850 kW, Net
available head 5.5m, Speed ratio=2.1, flow ratio=0.67, overall efficiency=85%, Assuming that
hub diameter of the wheel is 0.35 times the outside diameter, determine
Runner diameter
Runner speed
Design a Francis turbine runner with the following data. Net head 68m, speed 750 rpm,
output power 330 kW, hydraulic efficiency overall efficiency flow ratio 0.15,
breadth ratio 0.1, inner dia of runner is 0.5 outer dia. Also assume of circumferential area
of the runner to be occupied by the thickness of the vanes. Velocity of flow remains constant
throughout the flow and is radial at exit
8. What is a draft tube? Explain the uses of draft tube and mention some engineering applications
of it.
A Pelton wheel has to develop 13230 kw under a net head of 80m running at a speed of 600 rpm.
If the Cv 0.97, speed ratio 0.46, ratio of jet diameter is 1/6 of wheel diameter, calculate
the number of jets required for the Pelton wheel. Assume overall efficiency 85%. Also calculate
diameter of jet and diameter of pitch circle.
UNIT V
9. Explain the working of single acting reciprocating pump with a neat sketch.
A double acting reciprocating pump has piston of diameter 250 mm and piston rod of diameter
50mm which is on one side only. Length of piston stroke is 350 mm and speed of crack moving
the piston is 60 rpm. The suction and delivery heads are 4.5 m and 18m respectively. Determine
the discharge capacity of the pump and the power required to operate the pump.
10. Describe the working principle of a cetrifugal pump with a neat sketch.
A centrifugal pump works against a head of 30 m and discharges 0.25 m3/s while running at 1000
rpm. The velocity of flow at the outlet is 3 m/s and the vane angle at outlet is 300. Determine
the diameter and width of the impeller at outlet if the hydraulic efficiency is 80%.