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Posted By: b.thirumaya prabhu Member Level: Gold Posted Date: 01 Jun 2008
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2007 Jawaharlal Nehru Technological University JNTU B.Tech MECHANICS OF FLUIDS(R05) Set No. 4 University Question paper Question paper
Code No: R05220302 Set No. 4
II B.Tech II Semester Regular Examinations, Apr/May 2007
MECHANICS OF FLUIDS
( Common to Mechanical Engineering, Metallurgy & Material Technology
and Automobile Engineering)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. (a) A lubricating oil of viscosity µ undergoes steady shear between a fixed lower
plate and an upper plate moving at speed V. The clearance between the plates
is t. Show that a linear velocity profile results if the fluid does not slip at either
plate.
(b) Describe with a neat sketch a micro-manometer used for very precise mea-
surement of small pressure difference between two points. [8+8]
2. (a) For a three-dimensional flow the velocity distribution is given by u = -x,v =
3-y and w= 3-z. What is the equation of a streamline passing through (1,2,2)
(b) A steady flow can be non-uniform. Discuss. [10+6]
3. (a) Write shorts notes on:
i. Bernoulli’s equation
ii. Euler’s equation
iii. Vertex Flow.
(b) A closed vertical cylinder 350mm in diameter and height 400mm height is filled
with oil of relative density 0.9 to a depth of 280mm, the remaining volume
containing air at atmosphere pressure. The cylinder rotates about its vertical
axis at such a speed that the oil. Just begins to uncover the base. Calculate
the speed of rotation for this condition. [6+10]
4. (a) Explain about horizontal, vertical and Inclined venturimeter by applying Bernoulli’s
equation at two sections.
(b) Water flows over a Rectangular sharp- crested weir 1m long, the head over the
sill of of the weir being 0.66m. The approach channel is 1.4 m wide and depth
of flow in the channel is 1.2m. Starting from the first principle, determine the
rate of discharge over the weir. Consider also the velocity of approach and the
effect of end contractions. Take Coefficient of discharge for the weir as 0.6.
[8+8]
5. (a) Explain with the help of a sketch the variation of drag coefficient for a circular
cylinder over wide range of Reynolds number.
(b) A cylinder of 0.5 m diameter rotates at 540 r.p.m in air stream of velocity 12
m/sec. If it develop a lift of 96 N per unit length of the cylinder, determine
the ratio of actual to theoretical lift. Take density of air as 1.236 kg/m
3.[8+8]
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Code No: R05220302 Set No. 4
6. (a) How the loss of energy at the entrance to the pipe and exit from the pipe is
to be determined?
(b) A horizontal pipeline 50 m long is connected to a water tank at one end and
discharges freely into the atmosphere at the other end. For the first 30 m of its
length from the tank, the pipe is 100 mm diameter and its diameter suddenly
enlarged to 200 mm. The height of the water level in the tank is 10 m above
the centre of the pipe. Determine the rate of flow. Take 4f = 0.04 for both
sections of the pipe and consider minor losses. [6+10]
7. (a) What do you meant by viscous flow? Mention various forces to be considered
in Navier Stroke’s equation.
(b) Through a horizontal circular pipe of diameter 100 mm and of length 10m,
an oil of dynamic 0.097 poise and relative density 0.9 is flowing. Calculate
the difference of pressure at the two ends of the pipe, if 100 Kg. of the oil is
collected in a tank in 30 seconds. [10+6]
8. (a) What do you mean by Sub-sonic, sonic and super sonic flows?
(b) An Aeroplane is flying at an height of 20km, where the temperature is -400C
.Find the speed of the plane corresponding to Machnumber M=1.8, K=1.4
and R=287J/Kg-K. [8+8]
? ? ? ? ?
2 of 2
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