Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 3rd Semester (Third Semester) 2015-2016 NCE 301 Fluid Mechanics Question Paper
(F ollowing Paper ID and Roll No. to be ?lled in your
Answer Book)
Roll No.
B.Tech.
(SEM. III) THEORY EXAMINATION, 2015-16
FLUID MECHANICS
[Time:3 hours] H [MaximumMarksz 100
Section-A
Q.1 Attempt all parts. All parts carry equal marks. Write
answer of each part in short. (2X10=20)
(3) Write down the de?nitions of gauge pressure and
absolute pressure?
(b) Explain metacentre and metacentric height.
(c) What do you understand by buoyant force?
34200 (1) NCE-301
Q2.
34200
(d) Differentiate between steady and unsteady ?ow.
(e) Write down the de?nition of strewn ?mction.
(D What do you Imderstand by circulation?
(g) What do you understand by kinetic energy
correction factor?
(h) What is the meaning of geometric similarity
between model and pmtotype?
(i) What do you understand by TEL and HGL?
G) What do vou understand b '
. t y dis la
thickness? p cement
SectionoB
Note: Attempt any five questions from this section.
10>< 5:50
What should be the diameter ofa droplet ofwater if the
pressure inside is to be 0.0018 kg(t)/cm2 greatei than
the outside? Given the value ofsurface tension of water
in contact with air at 20?C as 0.0075kg(t)/m.
(2) NCE-301
Q3.
Q4.
05.
Q7.
34200 (3)
A 3 .6 m by I .5 m wide rectangular gate is vertical and is
hinged at point 0.5 m below the centre of gravity of the
gate. The total depth of water is 6 Hi. What horizontal
force must be applied at the bottom of the gate to keep
the gate closed?
A U-tube having its vertical legs 0.6 m apart is partially
?lled with carbon tertachloride (speci?c gravity 1.6) and
rotated about a verticai axis 0.15 m. from one leg. What
will bi the difference in elevation of the two free surfaces
whin the angular velocity is 100 revolutions per minute?
Water ?ows through a 0.9m d-iametre pipe at the end of
which there is a reducer connecting to a 0.6m diameter
pipe. If the gauge pressure at the entrance to the reducer
is 412.02 KN/mz' and the velocity is 2 m/s, determint
the resultant thrust on the reducer, assuming that the
frictional i055 of head in the reducer is 1.5 m.
Derive continuity equation for a three dimensional
steady or unsteady ?ows in a Cartesian coordinate
system.
With the help of a diagram explain Streamlines,
equipotentiol tines and ?ow net. Paws tha equipotential
lines and stream lines intersect each other orthogonally.
P10.
Q8. Two velocity components are given in the following
equations, ?nd the third component such that they satisfy
the continuity equation:
u=x3+y2+222;v=?x2y?yz?xy
Q9. For laminar ?ow of an oil having dynamic viscosity
u=1.766 Ps.s in a 0.3 m diameter pipe, the velocity
distribution is parabolic with a maximum point velocity
of3 m/s at the centre of the pipe. Calculate the shear
stresses at the pipe wall and within the ?uid 50 mm from
the pipe wall.
Section-C
Note: Attempt apy two questions from this section.
( 1 5 X 2=3 0)
Q 10.The velocity components in a two-dimensional ?ow ?eld
for an incompressible ?uid are expressed as
3
u=13?+2x?Jc2y;v=xy?2y?x?3
(a) Show that these functions represent a possible case
il?an irrotational ?ow.
(b) Obtain an expression for steam function \{J
(c) Obtain an expression for velocity potential w
34200 (4) NCE-301
Q1 1.A rectangular door covering an opening 3 m wide and 2
m high in a vertical wall is hinged about its vertical edge
by two pivots placed symmetrically 0.25 m from either
end. The door is locked by a clamp placed at the centre
of the vertical edge. Derermine the reactions at the two
hinges and the clamp, when the height ofwater is 1.5 m
above the top edge of the opening.
2
Q12. (a) For the velocity distribution :71: 2{-?] _[_J ,
g
find the energy thickness 6 "
(b) A compound piping system consists of 1800 m of
0.50 m, 1200 m of 0.40 m and 600 m of 0.30 m
new cast iron pipes connected in series. Convert
the system to (i) an equivalent length of 0.40 m
pipe, and (ii) equivalent size pipe 3600 m long.
(0) The pressure drop ? A l, ? in a pipe of diammetre ?D?
and length ?L? due to viscous ?ow depends on the
velocity ?v?, dynamic Viscosity ? ,U ?, average height
?k? and mass density ?p? using Buckingham?s
theorem, obtain expression for ? A P ? .
__x__
34200 . (5) NCE-301
This post was last modified on 29 January 2020