Download VTU BE 2020 Jan ME Question Paper 17 Scheme 4th Sem 17ME44 Fluid Mechanics

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Fourth Semester B.E. Degree Examination, Dee.241144Wn.2020

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Fluid Mechanics
Time: 3 hrs. Max. Marks: 100
Note: Answer any FIVE full questions, choosing ONE full question front each module.
ai
Module-1

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...
c
0. " I a. Define the following fluid properties :
"Eci
P i) Density ii) Specific weight iii) Specific volume iv) Specific gravity. (04 Marks)

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c '''
b. The dynamic viscosity of an oil used for lubrication between a shaft and sleeve is 6 poise.
-0
O The shaft is of diameter 0.4m and rotates at 190 rpm. Calculate the power lost is the bearing
c

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,.. .
for a sleeve length of 90mm. The thickness of the of film is 1.5mm. (08 Marks)
ti)
c. A U tube manometer is used to measure the pressure of oil of specific gravity 0.85 flowing
c =

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. ir. in a pipe line. It left end is connected to the pipe and the right limb is open to the
atmosphere. The under of pipe is 100mm below the level of mercury (specific gravity of
II
a.s.
? .

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mercury = 13.6) in the right limb. If the difference of mercury level in the two limbs is
;:- i
? --r
160mm. Determine the absolute pressure of the oil in the pipe. (08 Marks)
:-/ i., OR

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O ?
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2 a. Derive an expression for total pressure force and depth of centre of pressure for an inclined
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1 .2

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z
c "' plane surface submerged in liquid. (10 Marks)
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=
o

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U ct
b. Determine the total pressure and centre of pressure on an isosceles triangular plate of base ?
,,,
?
z

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4m and altitude 4m where if immersed vertically in an oil of specific gravity 0.9 the base of
Tz 'a
=
the plate coincides with the free surface of oil. (06 Marks)

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c
c
c. Define the terms : i) Buoyancy ii) Centre of buoyancy

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iii) Meta centre iv) Meta centric height. (04 Marks)
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.

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Module-2
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, 3 a. Derive continuity equation is Cartesian co-ordinates for a fluid flow in 3 dimensions.

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. L
(08 Marks)

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? 0.
ct
b. Distinguish between :
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=?
E . g
i) Steady and unsteady flow
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ii) Uniform and non uniform flow

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c -
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iii) Laminar and turbulent flow.
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(06 Marks)

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8
72
C. Obtain a stream function to the following velocity components u = x + y and v = x - y.
::4
t-

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0
c to
(06 Marks)
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t :--

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C. 8
E > OR
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4 a. The water is flowing through taper pipe of length 100m having diameters 600mm at upper

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end and 300mm at the longer end at the rate of 50 litres/sec. The pipe has a slope of 1 in 30.
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Find the pressure at the lower end if the pressure at the higher level is 19.62 N/cm
2
.
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z

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(08 Marks) c
b. Derive an expression for discharge through a triangular notch. (06 Marks)
c
t c.
An oil of specific gravity 0.8 is flowing through venturimeter having inlet diameter 20cm

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o
E
and throat diameter 10cm. The oil mercury differential nanometer shows a reading of 25cm.
calculate the discharge of oil through horizontal venturimeter. Take Cd = 0.98. (06 Marks)
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17ME44
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1
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". ? ?".........."^......?. Vie:,
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...z.
.i .e.

--- Content provided by⁠ FirstRanker.com ---

-!......./
N.:?\
:'.... ...... .;_:. 1
, .
Fourth Semester B.E. Degree Examination, Dee.241144Wn.2020

--- Content provided by​ FirstRanker.com ---

Fluid Mechanics
Time: 3 hrs. Max. Marks: 100
Note: Answer any FIVE full questions, choosing ONE full question front each module.
ai
Module-1

--- Content provided by‌ FirstRanker.com ---

...
c
0. " I a. Define the following fluid properties :
"Eci
P i) Density ii) Specific weight iii) Specific volume iv) Specific gravity. (04 Marks)

--- Content provided by⁠ FirstRanker.com ---

c '''
b. The dynamic viscosity of an oil used for lubrication between a shaft and sleeve is 6 poise.
-0
O The shaft is of diameter 0.4m and rotates at 190 rpm. Calculate the power lost is the bearing
c

--- Content provided by FirstRanker.com ---

,.. .
for a sleeve length of 90mm. The thickness of the of film is 1.5mm. (08 Marks)
ti)
c. A U tube manometer is used to measure the pressure of oil of specific gravity 0.85 flowing
c =

--- Content provided by‍ FirstRanker.com ---

. ir. in a pipe line. It left end is connected to the pipe and the right limb is open to the
atmosphere. The under of pipe is 100mm below the level of mercury (specific gravity of
II
a.s.
? .

--- Content provided by⁠ FirstRanker.com ---

mercury = 13.6) in the right limb. If the difference of mercury level in the two limbs is
;:- i
? --r
160mm. Determine the absolute pressure of the oil in the pipe. (08 Marks)
:-/ i., OR

--- Content provided by⁠ FirstRanker.com ---

O ?
,_
2 a. Derive an expression for total pressure force and depth of centre of pressure for an inclined
,.. . _
1 .2

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z
c "' plane surface submerged in liquid. (10 Marks)
.
=
o

--- Content provided by FirstRanker.com ---

U ct
b. Determine the total pressure and centre of pressure on an isosceles triangular plate of base ?
,,,
?
z

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4m and altitude 4m where if immersed vertically in an oil of specific gravity 0.9 the base of
Tz 'a
=
the plate coincides with the free surface of oil. (06 Marks)

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?
-,:::
c
c
c. Define the terms : i) Buoyancy ii) Centre of buoyancy

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iii) Meta centre iv) Meta centric height. (04 Marks)
.>
?
.F
.

--- Content provided by FirstRanker.com ---

c, ,
J

-c c

--- Content provided by⁠ FirstRanker.com ---

- I) T
>
Module-2
.c.. . 0
, 3 a. Derive continuity equation is Cartesian co-ordinates for a fluid flow in 3 dimensions.

--- Content provided by FirstRanker.com ---

-
-..: c
L
. L
(08 Marks)

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? 0.
ct
b. Distinguish between :
,..
24

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=?
E . g
i) Steady and unsteady flow
? ci
ii) Uniform and non uniform flow

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c -
c =
iii) Laminar and turbulent flow.
- ,?
(06 Marks)

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8
72
C. Obtain a stream function to the following velocity components u = x + y and v = x - y.
::4
t-

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0
c to
(06 Marks)
? C
t :--

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C. 8
E > OR
o E. ) .
> ,
4 a. The water is flowing through taper pipe of length 100m having diameters 600mm at upper

--- Content provided by‍ FirstRanker.com ---

u
cs .t:

end and 300mm at the longer end at the rate of 50 litres/sec. The pipe has a slope of 1 in 30.
._, ,-.;

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Find the pressure at the lower end if the pressure at the higher level is 19.62 N/cm
2
.
u
z

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(08 Marks) c
b. Derive an expression for discharge through a triangular notch. (06 Marks)
c
t c.
An oil of specific gravity 0.8 is flowing through venturimeter having inlet diameter 20cm

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o
E
and throat diameter 10cm. The oil mercury differential nanometer shows a reading of 25cm.
calculate the discharge of oil through horizontal venturimeter. Take Cd = 0.98. (06 Marks)
Module-3

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5 a. Derive an expression for velocity distribution for Hagen ? Poiseuille flow occurring in a
circular pipe. Hence prove that the maximum velocity is twice the average velocity of the
flow. (10 Marks)
b. A fluid viscosity 0.7Ns/m
2

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and specific graivity 1.3 is flowing through a circular pipe of
diameter 100mm, the maximum shear stress. At the pipe wall is given as 196.2N/m`. Find
i) the pressure gradient ii) the average velocity iii) Reynolds number of the flow.
(10 Marks)
OR

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6 a. Derive the Darcy Weisbach equation.
(08 Marks)
b. Differentiate between major and minor energy losses. (04 Marks)
c. An oil of specific gravity 0.7 is flowing through a pipe of diameter 300mm at the rate of
500 litre/sec. fmd the head lost due to friction and power required to maintain. The flow for

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a length of 1000m. Take v = 0.29 stokes. (08 Marks)
Module-4
7 a. Write a short note on boundary layer separation and method to control it. (08 Marks)
b. A flat plate 1.5m x 1.5m moves at 50km/hr in stationary air of density 1.15kg/m
3

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. If the
coefficient of drag and left are 0.15 and 0.75 respectively. Determine :
i) the lift force ii) the drag force iii) the resultant force iv) power required to keep the
plate in motion. (08 Marks)
c. State the difference between stream lined body and bluff body with neat sketch. (04 Marks)

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OR
8 a. What is dimensional homogeneity'? Explain with examples. (04 Marks)
b. What is similitude? Explain the following : i) Geometric similarity ii) Dynamic similarity
(08 Marks)
c. Show by Buckingham's it theorem that the frictional torque T of a disc of diameter D

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rotating at speed N in a fluid of viscosity? and density `p' in a flow is given by T = D
)
N
2
p4)

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[ 1
.

D2Np
(08 Marks)

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Module-5
9 a. Define : i) Mach number ii) Subsonic flow iii) Sonic flow iv) Supersonic flow. (08 Marks)
h. An Airplane is flying at an height of 15km. where the temperature is -50?C. The speed of the
plane is corresponding to M = 2.0. Assuming K = 1.4 and R = 287 J/kg K. fmd the speed of
plane. (06 Marks)

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c. A projectile is travelling in air having pressure and temperature as 8.829 N/cm
2
and 2?C if
the mach angle is 40? find the velocity of the projectile Take K = 1.4 and R = 287 J/kg K.
(06 Marks)

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OR
10 a. Explain the meaning of CFD and its application. (06 Marks)
b. Define the following terms and write the relevant equation for the same i) stagnation
temperature ii) stagnation pressure. (08 Marks)
c. Find the velocity of bullet fired in standard air. If the mach angle is 30?.

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Take R = 287.14 J/kg K and K = 1.4 for air. Assume temperature is
irks)
* * 2 of 2 * * *
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