RTU 2016 Question Paper Semester IV Automobile Engineering Fluid Machanics

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RollNo. TotalNo ot Pages:[l
F{ 4E4L4L
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F{ B.Tech. IV-Sem (Back) Examination June-July 2016
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Automobile Engineering
s 4 LF;2 A(O) Ftuid Mechanics

Time: 3 Hours Maximum Marks: 80
Min. Passing Marks (Main & Back): 26
Min. Passing Marks (Old Back): 24
Instructions to Candidate s : -

Attempt any five questions, sele_cting one question from each unil' All
Questions carry equal marks. Schematic diagrams
must be shown
wherever necessary. Any data you feel missing suitably be assumed and
stated clearly.
Llnits of quantities used/ calculated must be stated clearly.

use of following supporting material is permitted during examination'
(Mentioned in form No.205)
1 NIIT
1. NIL

UNIT.I

Q.1 (a) Calculate the density, speciflc weight and weight of one litre of petrol of specific

gravity = 0.7 t4l

(b) Explain surface tension and capillarity in detail' t6l

(c) What is manometers? Classify and explain simple manometers and differential

manometers. t6l

Page 1 of4 [21801
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q
Q.l (a) Calculate the capillary
rise in a glass tube
of 2.5 mm diameter
vertica'y in (a) water when immersed
and (b) mercury.
Take surface tensions
o = 0.0725N/m
water and o for
= 0.52N/m for mercury
in contact with air.
The specific gravity
mercury is given of
as 13.6 and angle
of contact
=130o
(b) formula for centre
of pressure when
incrined prane surface
il;r,|" ,uo.".rll
Q.2 (a) Derive continuig 11o1
equation in three
Djmensions.
(b) The verocity potentiars l8l
function (Q) is given
by an expression.

, XY' x-+---{+yr
,^- , x3vJ )
3 -v-r"
(i) Fjnd velocity components
in x & y direcfions.
(ii) Show that
Q represents a possible
case of flow.
t8l
q
Q Z (a) Derive Euler,s
equation of motjon.
(b) The head of warer t8l
over an orifice
of diameter r 00
mm is I0 m. The
out from the orifice water coming
,

is collected in a
circurar tank of
diameter I.5m.
water rever in this The rise of
tank is I'0m. in
25seconds. Arso
the coordinates
on the jet, measured of the point
from ven a contracta
are 4.3n r. horizontal
and 0.5m. vertical.
Find the coefficients,
Ca, C, and C..
t8l

[4E4141]
Page 2 of 4

Q.3 (a) State Buckingham's fl theorem t4l
(b) The efficiency n of a fan depends on density p, Dynamic viscosity p of the fluid,

angular velocity w, diameter D of the rotor and the discharge Q. Express 11 in

terms of dimensionless parameters. tt2)
OR

a..3 (a) Define dimensionless numbers. Explain various dimensionless numbers and also
write their significance 12+41

(b) Derive the equation for laminar flow between parallel plates. t10l

UNIT-IV
Q.4 (a) Describe in detail Prandtl mixing length theory for turbulent shear stress. t6l
(b) Determine the wall shearing stress in a pipe of diameter 100mm, which carries
water. The velocities at the pipe centre and 30mm from the pipe center are ZrnJs

and 1.5m/s respectively. The flow in pipe is given as turbulent. t6l

(c) A pipeline carrying water has average height of irregularities projecting from the
surface of the boundary of the pipe as 0,15mm. What type of boundary is it? The

shear stress developed is 4.9N/m2' The kinematic viscosity of water is 0.01

stokes. l4l

l4E4t47l Page 3 of4 [2180]

OR
Q"a (a) Find the head lost due to friction in a pipe
of diameter 300 mm and length 50 m,
through which water is flowing at a verociry
of 3m/s using.
(i) Dalcy formula
(ii) Chezy's formula for which c = 60
I8l
(b) At a sudden enlargement of water main from 240mmto
4g0mm diameter. the
hydraulic gradient raises by lOmm. Estimate
the rate of flow.
t8l

UNIT.V
Q'5 (a) Derive the'formula for the drag force on a flat plate due to
boundary layer. tgl
(b) Describe in detail _
(i) Laminar boundary layer
(ii) Turbulent boundary layer
[5+3]
OR

Q.5 (a) Derive the expression for drag and lift.
t8l
(b) Write short nores on lAny Two)
(i) Drag on sphere and cylinder
(ii) Development of lift on circular cylinder
(ii) Development of lift on an airfoil
[4x2=31

14847471 Page 4 of 4