PART A – (10 x 2 = 20 Marks) Answer ALL
Questions
1.
Mention
the significance of kinematic viscosity.
2. Distinguish between a control and
differential control volume.
3. Differentiate between laminar and
turbulent flow.
4. What is the use of Moody’s diagram.
5. State the Buckingham-π theorem.
6. Define Froude’s Number
7. What are the causes of negative slip
in a reciprocating pump?
8. Define acceleration head.
9. Why does a Pelton wheel not posses
any draft tube.
10. What is draft tube and explain its
function.
11(a)An oil of specific gravity0.85 is flowing
through an inclined venturimeter fitted to a 250mm diameter pipe at the rate of
110lit/s. The venturimeter is inclined at 60 to the vertical and its 120mm
diameter throat is 1m from the entrance along its length. The pressue gauges
inserted at entrance and throat show pressures of 0.125N/mm2 and
0.08N/mm2 respectively. Calculate the discharge coefficient of
venturimeter.If instead of pressure gauges the entrance and throat of the
venturimeter are connected to the two limbs of a U-tube mercury manometer,
determine its reading in m of mercury column.
(Or)
b)A drainage pipe is tapered in a section running
full of water.The pipe diameters at the inlet and exit are 1000mm and 500mm
respectively.The water surface is 2m above the centre of the inlet and exit is
3m above the free surface of the water.The pressure at the exit is 250mm of Hg vaccum.The friction
loss between the inlet and exit of the pipe is 1/10 of the head at the
exit.Determine the discharge through the pipe.
12(a)A
pumping plant forces water through a 50mm diameter main, the friction head
being 32m. In order to reduce power consumption, it is proposed to lay another
main of appropriate diameter along the side of the existing one, so that the
two pipes may work in parallel for the entire length and reduce the friction
head to 12m only.Find diameter of the new main, if with the exception of diameter;
it is similar to the existing one in every aspect.
(Or)
(b)Find the velocity profile in laminar boundary
layer as
Find the
thickness of the boundary layer and shear stress, 1.8m from the leading edge of
a plate.The plate is 2.5m and 1.5m wide is placed in water, which is moving
with a velocity of 15cm/sec.find Drag on one side of the plate, if the velocity
of water is 0.01 poise.
13(a)
The power developed by hydraulic machine is found to depend on the head h, flow rate Q, density ρ, speed N, runner diameter D, and acceleration due to gravity g, obtain suitable dimensionless parameters to correlate
experimental results
(Or)
(b)Derive an expression for the shear
stress at the pipe wall when an incompressible fluid flows through a pipe under
pressure. Use dimensional analysis with the following significant parameters:
diameter D, flow velocity V, and viscosity µ and density ρ of the
liquid.
14(a) The cylinder of a single acting
reciprocating pump is 15 cm in diameter and 30 cm in stroke.The pump is running
at 30rpm and discharge water to a height of 12m.The diameter and length of the
delivery pipe are 10cm and and 30m respectively.If a large air vessel is fitted
in the delivery pipe at a distance of 2m from the centre of the pump.find
pressure head in the cylinder (i)At the beginning of the delivery stroke (ii)
In the middle of the delivery stroke.Take f=0.01.
(Or)
(b) A centrifugal pump runs at 1000rpm
with their vane angles at inlet and outlet as 20° and 35° respectvely.The
internal and external diameters are 25cm and 50cm respectively.Find the
workdone per N of water assuming velocity of flow at constant.Water enters
radially through the pump.
15(a)A pelton wheel is to develop
13,250 kW under a net head of 800m while running at a speed of 600rpm.If the
coefficient of jet=0.97, speed ratio=0.46 and ratio of jet diameter is 1/15 of
wheel diameter. Calculate (a)number of jets(b)Diameter of jets (c)Diameter of
pitch circle (d)Quantity of water supplied to wheel. Assume overall efficiency
of 85%
(Or)
(b) A Kaplan turbine working under a head of 20m
develops 16000b.h.p.The outer diameter of the runner is 3.5m and the hub
diameter is 1.75m.The guide blade angle at the extrme edge of the runner is
30.The hydraulic and overall efficiency of the turbine are 88% and 84%
repectively.If the velocity of whirl is zero at oulet.determine (i) Runner vane
angles at inlet and outlet at the extreme edge of the runner (ii) Speed of the
turbine.
PART – B(1×15=15 Marks) Answer
the question
16. A simple turbomachine is constructed from a
disk with two internal ducts which exit tangentially through square holes as in
figure .Water at20 C enters the disk at the center as shown. The disk must
drive, at 250 rev/min, a small device whose retarding torque is 1.5N-m.What is
the proper mass flow of water, in kg/s..?
0 Comments