- Heat transfer does not inevitably cause a temperature rise. An increase in internal energy can also cause a temperature rise without heat transfer. - For a non-flow system, the heat transferred is equal to the change in enthalpy of the system. - Enthalpy is a property that depends on the temperature and pressure of a system. An increase in enthalpy means the system has gained heat at constant pressure.

1. fi*.{''{,1
1OMAT31
USN
Third Semester B.E. Degree Examination, Dec.2013 lJan.2Dl4
Engineering Mathematics -
Time: 3 hrs.
lll
Max. Marks:100
Note: Answer FIVEfull questions, selecting
at least TWO questions from each part
PART _ A
1 ',u, Find the Fourier series
(J
*2@r
il
o
o
o.
b.
o
o
6
lFh
,,,
n'
=
c.
r{} * } * +.
u'3'5')
(06 Marks)
f(x)=(*-1)'intheinterval 0<x<1
Obtainthehalf-rangecosineseriesforthefunction,
L
^
(.)X
hence deduce that
I
'-
ura n.n.. show that
!
.9
f(x) = lxl in Gn,x),
B 3(2n-1)r'
L
6
expansion of the function
,,,,,,,,
}
(07 Marks)
Compute the constant term and first two harmonics of the Fouripr series of
(x)
given by,
(07 Marks)
J'
F6
NV
x
fi
0
50"
ioo
J
Fl
.=N
f(x)
.B+
Y
o.)
Oi
eO
-'o>
a_o=
2n.,,.
2a.
b.
1.0
1.9
;J
J
r.4
4x
.,.....fi
1.7
,,,1
5n
2n
t.2
1.0
;J
.5
CENfRAL
LIBRAflY
tru for* of f(x) = -L.
l+x'
h- *'for lxl < I
Find the Fourier translorm of f r x) i
Obtain the Fourier cosine
=
a=
LV
oc)
lMarks;
I o forlxl >t
(07 Marks)
-!
c.
-L
3a.
of
(07 Marks)
,;*
oX
>'1
sd
b.
Obtain the various possible solutions of two dimensional Laplace's equation, u,*
*u,,
by the method of separation of variables.
ad
E6
'ia
or=
aa
Find the inverse Fourier sine transform
S
(07 Marks)
'
o_i
6V
o=
.
_..
Solve the one-dimensional wave equation, C'
conditions
(i)
,
u(0, t)
:
0: 0
,, ,
u(1,
r2
r2
o-u
j=-, o-u
6x' A'
(ii)
(iii)
LO
5.e
> (ts
o-
ao
c or.)
o=
;(x.0)
tr>
u(x. 0)
=o
5!
^5
t<
*
4 a.
a.I
a_)
Z
o
a
c.
:
UnX
;
= 0.
where u6 is constant
(07 Marks)
c."' Obtain the D'Almbert's solution of the wave equation u,,
o.B
0 < x < / under the following
u(x, 0)
4l!
€;
=0
: (x) una $1*.0)
a"'
=0
- C'r**
subject to the conditions
(06 Mar,Iq)
Findthe best values of a, b, c, if the equation y=a+bx+cx2 is to fit most closely to the
fo llo wing observations.
(07 Marks)
x 1
2
5
4
-)
v 10 t2 13 t6 t9
Solve the following by graphical method to maximize z = 50x + 60y subject to the
constraints, 2x+3y<1500, 3x+2y <1500, 0( x<400 and 0<y<400.
(06Marks)
By using Simplex method, maximize P=4xr -2xr-x, subject to the constraints,
xr +x2*X: (3,2xr+2xr*X., ( 4,xt-x, <0, X,)0 and xz )0.
(07Marks)

2. 5a.
b.
1OMAT31
PART _ B
Using Newton-Raphson method, find a real root of xsin x + cosx = 0 nearer to n, carryout
three iterations upto 4-decimals places.
(07 Marks)
Find the largest eigen value and the corresponding eigen vector of the matrix,
lz -1 ol
l-, 2 -11
Io -r ,)
By using the power method by taking the initial vector as [t
t t]'
carryout 5 -iterations.
(07 Marks)
c.
Solve the following system of equations by Relaxation method:
l}x+y+z=31 ;
6 a.
.
b.
(06 Marks)
A sulvey conoucteo m a slum locallty reveals tne lollowlns mlormatron as c lassified below,
nducted in
locali
ls the followins info
Income per dav in Ruoees 'x' Under 10 10 -20 20-30 30-40 40-50
Numbers of persons 'y'
20
45
115
115
210
Estlmate the probable number of persons in the income group lU b 25.
Estimate tne pr0DaDle numDel oI
rn tne mcome
2A to"/.5.
(07 Marks)
Determine (x) as a polynomials in x for the data given below by using the Newton's divided
diflerence formula.
(07 Marks)
x
f(x)
c.
2x+8y-z=24; 3x+4y+l0z=58
2
4
t0
96
5
Evaluate [.
+dx
jl+x
8
10
868
1746
6
t96 350
by using Simpson's
H' rule by taking 6 - equal strips and
of log. 2.
)
^
^)
7a. Solve the wave equation, + = 4+, subject to u(0, t) :
ol- dx'
u(x. 0) : x(4 - x) by taking h : l. K : 0.j upto 4-steps.
deduce an approximate value
Solve numerically the equatio"
'A0x'
t)0
(06 Marks)
0, u(4, t)
:
0, u1(x, 0)
0 and
(07 Marks)
subject to the conditions. u(0.
u(x,0): s.innr, 0< x <1, carryout
:
the computation
t):0:
utl.
t.1.
fortwo levels taking h =1
l.
K: + .
(07 Marks)
36
Solve u,o * u, = 0 in the following square region with the boundary conditions as
indicated in the Fig. Q7 (c).
(06 Marks)
and
c.
and
+ =*
hence
500 I 00 100 50
tt1
Fig. Q7 (c)
?n
8a.
b.
c.
0000
Find the z-transform o[ (i)
(ii) coshnO
n0
222 +32
Find the inverse z-transform or"
'
Solve the difference
sinh
(z+2)@-a)
equation, y n+2 * 6y,*r * 9y , - )n
with yo = yr = 0 by using z-transform.
*rk*rk>k
(xr) n-
(07 Marks)
(06 Marks)
(07 Marks)

3. TOME/AU32B
USN
Third Semester B.E. Degree Examination, Dec.2013 lJan.20l4
Mechanical Measurements and Metrology
Time: 3 hrs.
Max. Marks:100
Note: Answer FIVEfull questions, selecting
at least TWO questions from each part.
c)
()
(.)
CB
o.
a.
b.
(.)
(.)
!
8e
c.
6v
7r'
-t
o0'
=oo
.: c.l
PART _ A
De{ine metre in terms of wavelength standards. List the advantages of wavelength standards
over itaterial standards.
(06 Marks)
Describe with a neat sketch:
i) Imperial standard yard
ii) Wringing phenomena of slip gauges
(08 Marks)
Four length bars of basic length 100 mm are to be calibrated,using a calibrated length bar of
400 mm whose actual length is 399.9992 mm. It was also found that length of bars B, C and
D in comparison to A are +0.0002 mm. +0.0004 mm and -0.0001 mm respectively and the
length of all the four bars put together in comparison to standard calibrated bar is +0.0003
mm longer. Determine the actual dimensions of all the four end
HOO
oJtr
=o
71.
a.
-
a:
b.
oO
o0c
c.
-€
Differentiate between:
i) Hole basis and shaft basis system of tolerances
ii) Interchangeability and selective assembly.
Write notes on:
i) Compound tolerances
ii)
Marks)
Gauge tolerance.
Determine the dimensions of hole and shaft for a fit 30H8f7. The given data arc:
i:0.45Dr/r + 0.001D. IT8 :25i.1T7: l6i. Fundamentaldeviation for shaft'f is -5.5D0+r.
30 mm diameter lies in the diameter step of 18-30 mm. Sketch the fit and comment on the
same.
(08 Marks)
or=
p-A
o''
o_i
o=
3a.
b.
c.
AE
Explain with a neat sketch, the working of Solex pneumatic gauge,
(08 Marks)
Explain with a neat sketch, the construction and working of LVDT.
(08 Marks)
Show the arrangement of angle gauges, with a neat sketch by selecting minimum number of
gauges for the angles 32'15'33" and54o36'42".
',,.
(04 Marks)
G;
:9
v,
^:
-40
o=
qo
tr>
Xo
o
rJ<
-i c.i
o
o
Z
L
4 a.
,
b.
c.
What is the best size wire? Derive an expression for the same in terms of the pitch and angle
of the thread.
(06 Marks)
Explain 3-wire method of measuring effective diameter of screw thread.
(08 Marks)
Explain the principle of interferrometry. Write a note on optical flat.
(06 Marks)
PART
-B
5 a. With a neat block diagram, explain the generalized measurement system with an example to
each stage.
(08 Marks)
b.
Distinguish between:
c.
Define the following terms with reference to measurement system:
i) Calibration
ii) Sensitivity
iii) Hysterisis
iv) Threshold value
i)
Primary and secondary transducers
ii) Active and passive transducers
(06 Marks)
(06 Marks)

4. ..
t
,,r,,:,r,
1.t)
2 of2

5. MATDIP3Ol
USN
Third Semester B.E. Degree Examination,
Dec.2013
Advanced Mathematics
-I
Time: 3 hrs.
,:.,i
d
o
o
Max. Marks:100
,
1 ' ;.
L
/Jan.20l4
Note: Answer any
(1
Express the complex number
+ i)(1 +
FIVEfull
3i)
1+ 5i
questions.
,'
in the form x + iy.
(06 Marks)
..,"'.'.,......,'..
J '
b.
r ----.-,:---r- -. (3Find the modulus and amplitude of
c.
Expand coso 0 in a series of cosines multiples of 0.
(07 Marks)
Find the nth deiivative of sin(ax + b).
If y: (sin-l x)2, Showthat (1-x')y,*,
(06 Marks)
a
o
C)
oX
d=
j=h
bol
troo
2a.
b.
c.
.=N
o:u
otr
aO
o2
a:
tr
-(2n+l)xy,*, -n'.yn=fl
Findthenthderivativeof ^[
I r +,. -3t2 Il.
i'[51x-ll (?-tf2x+3)J
Using Taylor's theorem, express the polynomial 2xr +7x2 +x
b.
Using .vtaclaurrn's series. expand tan x upto the term containing
usmg Maclaurin's senes,
ran
rhe
contammg
c.
lf z =r'
+ y''
(07 Marks)
(07 Marks)
- 6 in powers of (x -
a.
o(.)
botr
(07 Marks)
- 3axy then prove ,1'ru, AyAx :t:
- "-"- 9'l = axav
ovox AxAy
1).
(06 Marks)
(07 Marks)
x;,3g;:{gN(0,
"t.r'6 Y
''^y
c) Marks)
iY
,,il cetur*:: Sqi
"Er.r{E&t lE
t
4a.
b.
e
If
x'
+ y3 + 3xy = I .
find
l|.
r9 1 l6ElAF' J '
'3[---
'",CI2 0z
.. ..
'
z: (x, y) and x=eo +e-u andy=e-'-e', provethat:--=*
-?o
OE
o-A
c.
If
u = x+3y2
oj
o=
ao
atE
',...
,,,,':
5a.
!O
5.Y
>'!
uov
iou
o=
o. li
tr>
=o
5L
c.
o
o
'7
o
D(u.v.w)
at (1, -1, 0).
A(x.Y-z)
for
1r
? xdx
f
sin" x dx
.
-
:
(06 Marks)
A
l----.
J lt
i.!."
Evaluate
I If .,
-"
+
6a.
lll
Evaluate [ |. [.'''
J J J_
(07 Marks)
)
)dydx
(07 Mark$)
''dxdydz.
(06 Marks)
eY
000
t,
L
o.
Marks)
l3
J<
-N
E'v'aluate
find the value of
iZ- 0z
;-Vfi.t0l
(07 Marks)
Obtain ihe reduction formula
-
b.
'
.)
^) "
-23, y = 4x2yz, w = 222 -xy,
{,fr*Marks)
,frrgpp_-_
b.
c.
r rrru rr,! vqru! vr
Find the rurr. or
l[f)
l(rL_
Prove that B(m,n) =
g)]q.
l(m + n)
(07 Marks)
(07 Marks)

6. MATDIP3Ol
7 a. Solve 9 -.'*-" +x' .e-"
dx
b. Solve 4,Y =*' -y' which is homogeneous
(06 Marks)
.
.'tr
dx
4a:^, Solve dv V = e'* (x + 1)
,.
:,,,.{., r c.
- ,. .,
*
'SL*
.,.m,
in x and y.
xy
(07{arks)
.
-.%,*"
,,,':1''"r" (o6 Marks)
&L
(07 Marks)
(07 Marks)
s
,s_.
$o*d*
t'
{< {<
* * {'
..
'
: / t
{
{u
j'hn
.::
::::::;,
==il;..=
..'1 '::: :a
.=' * &d' lud
,*
tuill'
S
.:::''"':"
i
":1J' .
' nl'S
,::":l
:::,,,,":'13'
2
of2

7. IOME/AUITL33
USN
Third Semester B.E. Degree Examinationo
Dec.2013 lJan.2014
Basic Thermodynamics
Time: 3 hrs.
Max. Marks:100
Note: Answer FIVE full questions, selecting
ut lesst TWO questionsfrom each pait.
iJ
o
()
o.
E
o
o
L
b.
3e.
c.
oo,
-l
=co
.= cn
Y{r
o<
-A
3*
a::
2 a.
b.
o()
50i
-L
a6
c.
3.J
5i,
iq
o'!
().-i
o:
!o
5.Y
> (F
boo
cb0
o=
go
=<d
tr>
o
lr<
:-
3 a.
o.
E
For a non-flow system, show that the heat transferred is equal to the change in enthalpy of a
system.
f
o
o
Does heat transfer inevitably causes a temperature rise? What is the other cause for rise in
(02 Marks)
With a neat p-V diagram, derive an expression for workdone in each case of the following:
i) Isochoric process.
ii) Isobaric process.
iii) Isothermal process and
iv ) Polytropic process.
(10 Marks)
A piston device contains 0.05m3 of a gas initially at 200kPa. At this state, a linear spring
having a spring constant of 150 kN/m is touching the piston but exerling no force on it. Now
heat is transferred to the gas. causing the piston to rise and to compress the spring until the
volume inside the cylinder doubles. If the cross-sectional area of the piston is 0.25m2,
determine: i) a final pressure inside the cylinder; ii) the total work done by the gas and
iii) the fraction of work done against the spring to compress it.
(08 Marks)
temperature?
(04 Marks)
b. A gas undergoes a thermodynamic cycle consisting of the following processes: i) Process
1-2: constant pressure P:1.4 bar, Vr:0.028m3, Wr2:10.5kJ; ii) Process 2-3:
compression with pV: constant, U:: Uz and iii) Process 3-1: constant volume,
Ur * U: : -26.4 kJ. There are no significance change in KE and PE. i) Calculate the net
work for the cycle; ii) Calculate the heat transfer for the process 1 - 2; ii) Show that
(J
Z
PART _ A
Distinguish between:
i) Microscopic and macroscopic point of view.
ii) Temperature and thermal equilibrium and
iit) Intensive and extensive properties.
Classify the following into open, closed and isolated system:
i) Evaporator; ii) Thermoflask; iii) Passenger's train when stop at platform;
iv) Refrigerant in a refrigerator; v) Pressure cooker; vi) I.C. engine during
compression/expansion stroke; vii) Boiler and viii) Throttle valve.
(08 Marks)
Define a Quasi-static process. A platinum wire is used as a resistance thermometer. The wire
resistance was found to be lOohm and 16ohm at ice point and steam point respectively, and
3Oohm at sulphur boiling point of 444.6"C. Find the resistance of the wire at 750'C, if the
resistance varies with temperature by the relation. R: Ro (1 + oct + pt').
(06 Marks)
Q=
cycle
c.
f
W
, and iv) Sketch the cycle on p-V diagram.
(08 Marks)
cycle
In a certain stea{y flow process, 12 kg of fluid per minute enters at a pressure of 1.4bar,
density 25 kglm3, velocity 120 ntls and internal energy 920 kJlkg. fne Rula properties at
exit are 5.6bar, density 5 kg/m3, velocity 180 m/s, and internal energy 72OkJlkg. During the
process, the fluid rejects 60 kJ/s of heat and rises through 60m. Determine work done during
the process in kW.
(08 Marks)

8. lOME/AU/TL33
a.
b.
c'
State the limitations of first law of thermodynamics. Illustrate with examples. (04
Marks)
Prove that Kelvin-Plank and Clausius statements of second law of thermodynamics are
equivalent.
(06 Marks)
A heat pump working on the Carnot cycle takes in heat trom a reservoir at 5oC and delivers
heat to a reservoir at 60oC. The heat pump is driven by a reversible heat engine which takes
in heat from a reservoir at 840'C and rejects heat to a reservoir at 60'C. The reversible heat
engine also drives a machine that absorbs 30kW. If the heat pump extracts lTklls from the
5oC reservoir, determine: i) the rate of heat supply fromthe 840"C source and iil the rate
of heat rejection to the 60"C sink.
(10 Marks)
PART
-
B
a.
Prove that whenever a system executes a compete cyclic process, the quantit,
b.
c.
Explain principle of increase of entropy.
In a shell and tube heat exchanger 45kg of water per minute is heated fi"om 30.C
hot gases which enter the heat exchanger at 225"C.If the flow rate of gases is
find the net change of entropy of the universe.
a.
b.
{*
=
,
tort*ururr
(06 Marks)
to g5oC by
90 kg/min,
(06 Marks)
Draw the phase equilibrium diagram for a pure substance on'I-S plot with relevant constant
property lines.
(05 Marks)
What is the main objective of quality measurement? With a neat sketch, explain throttling
calorimeter
(07 Marks)
c'
What do you understand by degree of superheat? Steam initially at 1.5Mpa, 300.C expands
reversibly and adiabatically in a steam turbine to 40'C. Determine the ideal work output
of
the turbine per kg of steam.
(08 Marks)
a.
Derive Clausius Clayperon's equation for evaporation of liquid and explain the significance.
b.
Distinguish betweEn: i) Ideal gas and real gas and
c.
(04 Marks)
0.5 kg of air is compressed reversibly and adiabatically from 80kPa,50oC to 0.4Mpa
and is
then expanded at constant pressure and to the original volume. St<etctr tttese processes
on the
p-V and T-s planes. Compute the heat transfer and work transfer for the whoie path.
ii.y
Perfect.gas and
semiper*.t|!'*X"*'
(10 Marks)
a.
b.
c'
Explain the following:
i) Generalizedcompressibilitychart.
ii) Law of corresponding states and
iii) compressibility factor.
(06 Marks)
Derive Vander Waal's constants in terms of critical properties.
iot *".u.i
Determine the pressure exerted by CO2 in a container of 1.5m3 capacity when it contains
5kg
at 27oC. i) Using ideal gas equation and ii) Using Vander Waal's equation. (06
Marks)
) nf )

9. 10ME/AU32B
USN
Third Semester B.E. Degree Examination, Dec.2013 lJan.2Dl4
Mechanical Measurements and Metrology
Time: 3 hrs.
Max. Marks:100
Note: Answer FIVEfull questions, selecting
--'l---*---""'*-----'-'D
- --__
-^-J---at least TWO questions from eoch part.
()
o
o
L
g
PART_A
I a. Define metre in terms of wavelength standards. List the advantages of wavelength
b.
()
6
(.)
!
8e
c.
yl
de
;r,
troo
.=N
(o+
Eil.
otr
saJ
2 a.
3s
6=
b.
o()
(o0
b0i
c.
standards
over material standards.
(06 Marks)
Describe with a neat sketch:
i) Imperial standard yard
ii) Wringing phenomena of slip gauges
(08 Marks)
Four length bars of basic length 100 mm are to be calibrated using a calibrated length bar of
400 mm whose actu.al length is 399.9992 mm. It was also found that length of bars B, C and
D in comparison to A are +0.0002 mm. +0.0004 mm and -0.0001 mm respectively and the
length of all the four bars put together in comparison to standard calibrated bar is +0.0003
mm longer. Determine the actual dimensions of all the four end bars.
(06 Marks)
Differentiate between:
i) Hole basis and shaft basis system of tolerances
ii) Interchangeability and selective assembly.
Write notes on:
i) Compound tolerances
ii)
Gauge tolerance.
Determine the dimensions
(08 Marks)
7 (04 Marks)
of hole and shaft for a fit 30H8li. ihe given data are:
i:0.45Dr'+0.001D. IT8:25i.1T7:16i. Fundamentaldeviarion lorstratt't is-5.5D0ar.
30 mm diameter lies in the diameter step of l8-30 mm. Sketch the f-rt and comment on the
same
or=
=)Y
^X
o.!
o_a
oi;
3a
oE
og Marks)
?.
b.
c.
Explain with a neat sketch, the working of Solex pneumatic gauge.
(08 Marks)
Explain with a neat sketch, the construction and working of LVDT.
(08 Marks)
Show the arrangement of angle gauges, with a neat sketch by selecting minimum number of
gauges for the angles 32o15'33" and 54o36'42".
(04 Marks)
1 a.
What is the best size wire? Derive an expression for the same in terms of the pitch and angle
of the thread.
(06 Marks)
Explain 3-wire method of measuring effective diameter of screw thread.
(08 Marks)
Explain the principle of interferrometry. Write a note on optical flat.
(06 Marks)
LO
>'k
eo0
AE
tr>
:o
VL
o-
U<
:'
o
o
Z
P
b.
c.
5 a.
PART _ B
With a neat block diagram, explain the generalized measurement system with an example to
each
b.
a
c.
stage.
Distinguish between:
i)
Primary and secondary transducers
ii) Active and passive transducers
Define the following terms with reference to measurement system:
i) Calibration
ii) Sensitivity
iii) Hysterisis
iv) Tkeshold value
(08 Marks)
(06 Marks)
(06 Marks)

10. lOME/AU32B
a.
b.
c.
With
a neat sketch, explain the working principle of a CRO.
State the advantages of electrical signal conditioning elements.
(08 Marks)
(06 Marks)
Explain with a neat sketch, Ballast circuit diagram.
(06 Marks)
""':"""
:'',,d,
',
',,:
a.
b.
for pressure measurement. los"tudrts)
principle of proving ring.
a neat sketch, explain the working
(06 Marks)
*.-,,,.t*Olain with a suitable diagram, the working of hydraulic dynamometer. (06 Marks)
With
With
a neat sketch, describe the Pirani gauge used
,:_,,,,.,,,,,,
8 a.
b.
Sk@,an0 explain
the working principle of optical
Desciibe-=the steps
gauges.
pyrometer.
(0s Marks)
to be taken for the preparation of specimen and mounting of strain
(06 Marks)
' ,,:,"";-.,,,:
,1,,, i.'l"t
,,,,%
'
:"'..
t
:' :::
,=
,:::,
,::,:,
.. -.
1
::..""
:::._
,:..
:j:.,
a:
:t
,,.
0".,,".i
I
I
'i
,;
::: 1
::::::::
ir't;::" :'
j.:..
:"-"!,;
-'",...,,,-"
.=
iru
-l
1r
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11. lOME/A.U35
USN
Third Semester B.E. Degree Examination, Dec.20L3 /Jan.2ol4
Manufacturing Process -
I
Time: 3 hrs.
Max. Marks:100
Note: Answer FIVEfull questions, selecting
at least TWO questions from each part.
d)
o
o
a
PART
la.
b.
c.
-A
List and briefly explain the different steps involved in a casting process.
Discuss in detail the different materials used in making a pattern.
Briefly dis,gqss the importance of binders and additives used in sand.moulding.
(08 Marks)
(06 Marks)
(06 Marks)
o
6)
3e
2a.
b.
c.
*oo
List the types of moulding sand. Discuss the desirable prop
With neat sketch. explain jolt type moulding
List casting defects. Discuss any two.
:of moulding
turd,o,
Marks)
machine.
(07 Marks)
(05 Marks)
I
Eoo
.=N
cO+
5*u
(Jtr
.Eo)
3a.
b.
4 a.
a:
oO
b.
With neat sketches, describe the,shell mouldingprocess. List advantages of the process.
(10 Marks)
What is die-casting? With a neat, and lateled sketch, explain cold chamber diecasting
process.
(10 Marks)
With neat sketch, show the construcJion details of a Cupola furnace. Also indicate different
zones and write the reactions taking place in each of the zones.
(10 Marks)
With neat sketch. explain the working of a direct arc electric firrnace.
0 Marks)
ooi
c!.6
9=
26
-o(B
5 a.
3(]
o.=
^X
trao.v
o.a
o:
6,i
b.
6 a.
GH
!o
5.v
>,h
bocbo
tr>
o-
U<
-N
o
o
Z
L
o
b.
PART
Explain the following,
D
iD
Submerged arc
*ith
-
).
B
.illi
neat sketches:
welding.
,
Oxy-acegllene welding.
and their fiekl of applications.
With neat sketch" explain forward and backward welding methods.
{/
"/
":- /
(08 Marks)
With neat sketches, explain the following:
D Seam welding
":" (12 Marks)
ii) Projectionwelding.
With a sketch, explain the electron beam welding process and mention its applications,
(08 fuarks)
7a.
b.
8a.
b.
With neat sketch, explain heat affected zone (HAZ) and its various regions.
Explain the different welding defects, their causes and remedies.
"111'lii
(10 Maiks),;
(10 Marks)
What is non-destructive testing? Explain with neat sketch ultrasonic inspection and its
application areas.
(10 Marks)
With neat sketch, explain fluroscent particle inspection process and its application areas.
(10 Marks)

12. lOME/AU36B
USN
Third Semester B.E. Degree Examination, Dec.2013 /Jan.2O14
Fluid Mechanics
Time: 3 hrs.
Max. Marks:100
Note: Answer FIVE full questions, selecting
at least TWO questions from euch part.
o
o
()
PART * A
(.)
o
L
3e
a.
d.
Define the following terms and mention their SI units:
i) Capillarity.
iil Dynamic viscosity.
iii) Weight density.
(06 Marks)
iv) Bulk modulus.
Explain the effect of temperature variation on viscosity of liquids and gasses. (04 Marks)
Two large plane surfaces are 2.4cm apart. The space between the surface is filled with
glycrene. What force is required to drag a very thin plate of surface area 0.5 square meters
between the two large plane surfaces at a speed of 0.6 m/s, if the thin plate is at a distance of
0.8cm from one of the plane surface? Take p : 8.1 t 10-rN-s/m2.
(07 Marks)
Derive an expression for surlace tension of a soap bubbie.
(03 Marks)
a.
Define the following:
(!=
7h
;,
=q
.=N
d+
9[i
oi
b.
c.
-O
o>
a2
;!
oO
=l
50tr
-oE
>d
6'O
cg
3o
'Xa
OE
5.e
> (F
^^o
cco
*o
E>
v9
(08 Marks)
A Caisson for closing the entrance to dry dock is of trapezoidal form 16m wide at the top
c.
6tE
L(j
Gauge pressure.
Vaccum pressure.
il ;;:.;ri*il*;;
b.
o-X
oi
d=
it
ii)
and 10m wide at the bottom and 6m deep. Find the total pressure and centre of pressure on
the Caisson if the water on the outside is just level with the top and dock is empty. (08 Marks)
(04 Marks)
What is a manometer? How they are classified?
potential flow, the velocity potential is given by 0 : x(2y - 1),
determine the velocity at point P(4, 5). Determine also the value of stream function at the
point P.
(10 Marks)
Derive an expression for metacentric height of a floating body using analytical method.
a. If for a two-dimensional
b.
(10 Marks)
^O
a-
lr<
*c.]
o
'7
o
a
E
4a.
b.
c.
Derive Euler's equation of motion for an ideal gas.
(08 Marks)
(02 Marks)
State Bernoulli's theorem for steady flow of an incompressible fluid.
A pipe line carrying oil of specific gravity 0.87, changes in diameter from 200mm diameter
at a position A to 500mm diameter at a position B which is 4 meters at a higher level if the
pressures at A and B are 9.81 N/cm2 and 5.886 N/cm2 respectively and the discharge is
200 litres/s determine loss of head and direction of flow.
(10 Marks)
I of2

13. IOMEiAU36B
PART
5a.
b.
c.
7a.
b.
8a.
B
Derive an expression for the discharge over a triangular notch in terms of water over the
(08 Marks)
crest of the notch.
A 30cm x 15cm venturimeter is provided in a vertical pipe line carrying oil of specific
gravity 0.9, the flow being upwards. The difference in elevation of the throat section and
entrance section of the venturimeter is 30cm. The differential U-tube mercury manometer
shows a gauge deflection of 25cm. Calculate: i) The discharge of oil; ii) the pressure
difference between the entrance section and the throat section. Take coefficient of meter as
(09 Marks)
0.98 and specific gravity of mercury as 13.6.
What are the methods of dimensional analysis? Describe Buckingham's n-theorem for
dimensional
a.
b.
-
analysis.
(03 Marks)
Derive an expression for the loss of head due to sudden enlargement of a pipe. (10 Marks)
Determine the difference in the elevations between the water surfaces in the two tanks which
are connected by a horizontal pipe of diameter 300mm and length 400m. The rate of flow
through the pipe is 300 litres/sec. Consider all losses and take f : 0.008. Also draw HGL and
(10 Marks)
TEL.
(10 Marks)
Derive an expression for Hagen Poiseullie formulae.
An oil of viscosity 0.1 N-s/m2 and relative density 0.9 is flowing through a circular pipe of
diameter 50mm and length 300m. The rate of flow of fluid through the pipe is 3.5 litres/sec.
Find the pressure drop in a length of'300m and also the shear stress at the pipe wall.
Define terms: i) Drag; ii)
:'
Lift; iii) Displacement
thickness
; iv) Boundary layer ltlff::l
(10 Marks)
b.
;:i.t:ffi:,
e ror raminar boundary rayer nows given
as
+=r(*)-1rr;r.'.,",
an expression for boundary layer thickness (61. Shea, stress (t6) interms of Reynold's
number.
(10 Marks)
2 of2