This document appears to contain questions from an examination in Basic Thermodynamics. It includes questions on various thermodynamics concepts like thermodynamic equilibrium, the zeroth law of thermodynamics, work, heat, and processes involving gases. Specifically, part A asks about the differences between thermal and thermodynamic equilibrium, the importance of the zeroth law, relationships between Celsius scales using ideal gases, and determining temperatures using two different thermometers. Part B asks about defining work and heat and distinguishing between them, calculating the temperature rise of brake shoes during braking of a vehicle, and finding the work done during compression of a gas using a given pressure-volume relationship.

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Third Semester B.E. Degree Examination, June/July 2015
Engineering Mathematics - lll 9lr .l
Time: 3 hrs. Max. Marksrl00
Note: Answer FIVE full questions, selecting
at least TWO questions from each part
PART - A
I a. Expand f(x) : x sin x as a Fourier series in the interval (-n, n), Hence deduce the following:
..rr 2 2 2
l) -=l+---+-2 1.3 3.5 5.7 ,: "'d, "
... 7r-2 1 I I
rr,
-=--
--r ...
4 1.3 3.5 5.7 A +"r
b. Find the half -range Fourier cosine series for the funo.trlgn
(- a /
lkx. 0=*rYz
f(x)={ ", ''
lr.tl- il.% <x<.r
(06 NIarks)
in the Fourier series for f(x) given by the
2 a. Find the Fourier transform of the function (x):1e-alxl
b. Find the Fourier sine transforms ofthe
fsinx. 0<x<a
Functions f(x)=i' l. o, x)a
c. Find the inverse Fourier sine Transform of
I
F (cx)=-:t-aa a>0.
C[
31 &:, Find various possible solution of one dimensional
separable variab le method.
(07 Marks)
. O-u , d-u
wave equatton -;; = C- .- by' A- Ax'
(07 Marks)
(07 Marks)
(07 Marks)
(07 Marks)
(06 Marks)
(06 Marks)
b. Obtain solution of heat equation
ff = C'{ ,r6i..t to condition u(0,1) :0, u ( I ,t; : 0,
u (x, 0): f(x).
^) ^,
c. Solve Laplace equation +.*= 0 subject to condition u (0, y): u(,t,y):0, u (x, 0):0,
ox- oy'
Where k is a non-integer positive
c. Find the constant term and the first
followine table.
1of 3
(07 Marks)

2. 1OMAT31
4a. The pressure P and volume V of a gas are related by the equation PV' : K, where r and
are constants. t rt thn eouatlon to
P: 0.5 1.0 1.5 2.0 2.s 3.0
V: 1.62 1.00 0.75 0.62 0.52 0.46
Fit this equation to the following set of observations (in appropriate units)
Solve the following LPP by using the Graphical method :
Maximize '. Z=3xr*4xz
Under the constraints 4x, + 2x, < 80
2x,+5xr<180
x1, x2 ) Q.
Solve the following using simplex method
Maximize : Z=2x+4y, subject to the
Constraint: 3x+y122, 2x+3y<24, x>0, y20.
PART _ B
Using the Regular - Falsi method, find a real root (correct to three decimal places) of the
equation cos x : 3x - 1 that lies between 0.5 and 1 (Here, x is in radians). (07 Marks)
By relaxation method
Solve:-x*6y+272:85, 54x*y*z:110,2x+15y+62-72. (06Marks)
Using the power method, find the largest eigen value and corresponding eigen vectors of the
.,1 ',
,-*}*1
':t:i
ig€n vectors
Hence find f (0.5) and f (3.1). (06 Marks)
c. Evaluate i ,
*
, a* by using Simpson's
%). *r,", dividing the interval into 3 equal parts.
dl+x'
Hence find an approximate value of logtD. (07 Marks)
7 a. Solve the one - dimensional wave equation * =*' ax' a'
Subject to the boundary conditions u (0, t):0, u (1, t):0, t > 0 and the initial conditions
u(x, 0): sin nx, *(^,0) = 0, 0 < x'< 1. (07 Marks)
a
b.
c.
r*4"
(07 Mekff
!11.i. ',
'nt '
. ";
dq
r& p.
&u*' a'r.,,
{"n
(06 Marks)
5a.
b.
c.
(07 Marks)
(07 Marks)
lo -2 21
matrixA=l-2 3 -tl
l, -r 3]
taking [1, 1, l]r as the initial,e , Perform 5 iterations.
a. From the data given in the following Table ; find the number of students who obtained
r) Less than 45 mauks rr) betwee 40 and 45 marks
Marks 10-40 40-50 50-60 60-70 70 -80
No. of Studenfs, 3l 42 51 35 31
(07 Marks)
b. Using range's formula, find the interpolating polynomial that approximates to the
fulgliqidbscribed by the following table:function dbscribed bv the
x 0 I 2 3 4
(x) -) 6 ll 18 27
2 of3

3. b. Considerthe heat eouation Z*=@*d..the follo
' Ax- 0t
i) u (0,1): u (4, t): 0, t > 0
ii)u (x, 0) :x (4 - x), 0 < x < 4.
Employ the Bendre - Schmidt method with h: 1 to find the solution of the equation for"
"
0<t < l. (06Marks)
-1
c. Solve the two - dimensional Laplace equation # = * =0 at the interior piv,*4l toints of
ox- 0y'
the square region shown in the following figure. The values of u at the pivotal points on the
9oo
Fig. Q7 (c)
I ooD
find Zr (nP) and
AT31
(07 Marks)
(07 Marks)
(06 Marks)
boundary are also shown in the figure.
I ooo
zooo
I Ooo
8 a. State and prove the recurrence relation of Z - Transformation hence
-t .(nn lZrl coshl
-+0 I l.
'L (2 ))
t ,3 -)o, I
b. Find Zltl ' ,'"' I
"" t 'L(r_2)' @_g)
i,;l
I
c. Solve the difference equation
,,,,1 ',.,.
' Yn+z - 2Y n*t - 3yn = 3n + 2n
'
.""-; Given Yo
: Yr
: 0'
*rk*rkrk
3 of3
(07 Marks)

4. "J
3'$*- ME
Time: 3 hrs.
Note: Answer any FIVE full questions.
a. Express the complex number
(5-3iX2+r
4 +2i
b. Find the modulus and the amplitude of I + cosO + i sin0.
c. Find the cube roots of 1 + i.
Find the nth derivative of eu^ cos(bx + c).
Find the nth derivative of
(x+1X2x+3)
3a.
b.
c.
4a.
b.
6a.
b.
c.
Max. Marks:100
MATDIP3OlUSN
Third Semester B.E. Degree Examination, June/July 2015
Advanced Mathematics - |
2a.
b.
c.
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=vl
ao ll
coo
'=+.= c.l
Ear
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-co
oB
?a
a=
(,(1)
-o>!
dt
6jj
=(go.-
oj
u-*
aiE
!(J
6.2
aoo
cbo'-C
F>
Y!
o<
-N
C)
o
z
a
If x =tan (log y) provethat (1 +x2) yn*i+ (2nx- 1) yn +n (n- 1) yn-r =0.
Find the angle of intersection of the curves rn = an cosnO, rn = bn sinn0.
Find the Pedal equation of the curve r= a (l - cos 0;.
Using Maclcaurin's series expantl,lbg(1 + x) upto the term containing xa.
t2 ^1
If u = f(x + ct) + g(x - ct) show ttrat
fi --., #.
/-.. -
If u = fl L,y ,' I pror. that xu* + yuy + ztr, = Q.
[v z x)-
c. If u=x*!,v=y* z,w=z+x findthevalue*
*#
5 a. Obtain the reduction formula for Jcos'xdx where n is a positive integer.
a-l
b. Evatuare [-!axJu
Ju'- *'
-
c. Evaluate
i i
"i'"^.' *', dzdydx.
00 0
Define beta and gamma functions and prove that f(n + 1) - nf(n).
rl2 rl-2 l
Show that J Jrine ae , l' + d0 = n .
' 'o Jsin0'
Prove that B(m, ,r; = I(*[(n) .
f(m + n)
I of2
(06 Marks)
(07 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
(07 Marks)
(06 Marks)
(07 Marks)
(07 Marks)

5. -l
a. Solve
b. Solve
c. Solve
a. Solve
b. Solve
c. Solve
dvr=cos(x+v+I).
clx
(^' - y') dx - xydy = 0.
dv
" +vcotx=4xcosecx.
dx
1D3-6D2+ 11D-6)y=0.
(D'+ 2D + I) = x2 + e**.
(D'+D+1)y=sin2x.
MATDIP3Ol
(06 Marks)
(07 Marks)
(07 Mar*s)
(ffiMarks)
(07 Marks)
(07 Marks)
{<r<***
2of)

6. 2Bi1OAU328USN
do
(,)
g
=
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=h
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.= c.t
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a"
Third Semester B.E. Degree Examination, June/July 2015
Mechanical Measurements and Metrology
Time: 3 hrs. Max. Marks:I00
Note: Answer any FIYE full quesfions, selecting atleast TWO questions from each'parl
P-{RT - {
I a. Define the term mehology. List and explain the objectives of metrology., (10 Marks)
b. Explain with neat sketch : i) Imperial standard yard ii) Inlgqqtj,onal prototype meter.
O,.t#
' (10 MErkg'..---..---____-._
"- ",- r'
2 a. Determine the tolerances on the hole and the shaft for a ple&Sion running bit designated by
50HzGo. Given : (12 Marks)
i) 50mm lies between 30-50mm ii) i(micronsli 0.45(D)113 + 0.001D
iii) Fundamental deviation for 'g' shaft : -2.5D03a
'':
iv) IT7 : 16i v) IT6 : 19i.
b. Explain with neat sketches hole basis system a;rdffift basis system. (08 Marks)
a.
b.
a.
b.
a,
b.
a.
b.
r'-'1,"t'
Explain with a neat sketch the working of qi$ma comparator. (10 Marks)
Explain with a neat sketch the constryytion and working of a LVDT. (10 Marks)
fl -**
Explain with a neat sketch, AutsCeo"Hiinator. (10 Marks)
What are the various characteqish$ that you would measure in a screw thread? Explain 3
wire method of measuring e-ffioTive diameter of screw thread. (10 Marks)
6
7
., .. ,r, ,,
;'i," l;
,.r,"1t.- I
.t ,. ti
,,,i'-1..""
*.J ' PART-B
{2.
With ablock dip&iirr, explain generalized measuring system with examples.
Define the
-fqllewing
terms : i) Calibration ii) Sensitivity
iv) Remffihfliry v) Accuracy.
Witfiffiat sketch, explain the working principle of a CRO.
Wjtliki neat sketch, explain X - Y plotter and list the advantages.
.a " With a neat sketch, explain 'Hydraulic Dynomometer'.
'...-.b. With a neat sketch Mcleod gauge.
a. What is a Thermocouple? State the laws of Thermocouple.
b. Sketch and explain the working principle of optical pyrometer.
(10 Marks)
iiD Hysterisis
(10 Marks)
(10 Marks)
(10 Marks)
(10 Marks)
(10 Marks)
(08 Marks)
(12 Marks)

7. USN OME/AU33
Third Semester B.E. Degree Examination, June/July 2015
Basic Thermodynam ics
Time: 3 hrs. Max. Marks:10G
Note: L. Answer FIVE full questions, selecting ,
at least TWO questions from each part.
2. Use of thermodynamic data hand book permitted.
PART _ A
I a. What do you mean by thermodynamic equilibrium? How does it differ from thermal
equilibrium? t05 Marks)
b. State zeroth law of thermodynamics. Write its importance in thermodynamics. (04 Marks)
c. Consider a particular celsius scale assigned the value of 0"C to st€am point and 100"C to ice
point.
i) Using ideal gas as the thermometer medium, setup a,.relationship between 0"C and
pressure for a constant volume thermometer, proceed to derive the correction between
the two Celsius scales. At what temperature are the two scales are numerically equal?
ii) What is the numerical value of absolute zero for the particular scale? What is 200 K
in "C? (07 Marks)
d. Two Celsius thermometers A and B with temperature readings Te and Te agree at ice point
and steam point, but else where they are related by To = p * gTe + rTj, where p, q and r are
constants. When the thermometers are immersed in an oil bath, A shows a temperature of
51"C, while B shows 50oC. Determine thC temperature Ta, when Ts is 25'C. (04 Marks)
2 a. Define work and heat. Write the similarities and dissimilarities between them. (06 Marks)
b. An automobile vehicle of 1fO0 kg is running at a speed of 60 km/hr. The brakes are
suddenly applied and the vehicle is brought to rest. Calculate the rise in temperature of brake
shoes, if their mass is 15 kg. Take the specific heat of brake shoe material as 0.46 KIlkgK.
(06 Marks)
c. A quantity of gas i,g cpmpressed in a piston-cylinder from a volume of 0.8611 m3 to a final
volume of 0.1721,2 m'. ttre pressure (in bar) as a function of volume (m3) is given by,
D _ 0.86110 8.60673 x 10-5 ,
V Yz
i) Find the amount of work done in KJ.
ii) If the atmospheric pressure, i.e., 1 bar acting on the other side of piston is considered,
find the net work done in KJ. (06 Marks)
d' State direction of heat transfer and work transfer in a viscous fluid is stirred by a paddle
o
o.
o
50-
s!
=rl-*ll
trca
.= a.l
(ns
.>?t
-':L:
c0c
-a>!,d
5!
= :'1
o!e
-!
}UqiE
!o
o.-
trbo
=9
U.
(r<
-'.i
Z
(€
c.
wheel in an insulated closed tank.
What is a perpetual motion machine of first kind? Why is it impossible?
Apply steady flow energy equation to each of the following:
i) Boiler ii) Nozzle iii) Centrifugal pump.
(02 Marks)
(03 Marks)
(06 Marks)
c. 1200 kg car cruising steadily on a level road at 90 km/trr. Now the car starts climbing a hill
that is sloped 30" from the horizontal. If the velocity of the car is to remain constant during
climbing, determine the additional power that must be delivered by the engine. (04 Marks)
d. A centrifugal pump delivers 50 kg of water per second. The inlet and outlet pressure are
1 bar and 4.2 bar respectively. The suction ts 2.2 m below the centre of the pump and
delivery is 8.5 m above the centre of the pump. The suction and delivery pipe diameters are
200 mm and 100 mm, respectively. Determine the capacity of electric motor to run the
pump. (07 Marks)

8. lOME/AU33
a. Prove that a reversible engine is more efficient than an irreversible engine operating between
the same temperature limits. (06 Marks)
b' A house hold refrigerator maintains a space at a temperature of 0"C. Every time the door is
opened, warn material is placed inside, introducing an average 400 KJ of heat, but making
only a small change in temperature of the refrigerator. The door is opened 25 times a d,ay
and the refrigerator operates at257o and ideal COP. The cost of work is 3.50 per kWh. What
is the monthly bill of this refrigerator? The atmospheric temperature is at 30"C. (06 Marks)
c. Explain the second law of thermodynamics with reference to Kelvin Planck's statement and
Clausius statement hence prove that both the statements are equivalent to each other
although they appear to be different. (08 Marks)
PART _ B
a. Prove that for a system executing a cyclic process 6* =
o. hence define entropy.
JT
b' In a certain heat exchanger, 50 kg of water is heated per
gases which enter the heat exchanger at 250"C. If the
estimate the net change of entropy.
Co(water) = 4.186 KJ/kgK, Co(gas) = 1KJ/kgK. ,i
(08 Marks)
minute frotn 50'C to 110"C bv hor
flow,,rdte of gases is 100 tcgimin,
c' A piston-cylinder arrangement contains 0.03 m3 of nitro-gen at 1 bar and
moves inwards and the gas is compressed isothennally and reversibly
becomes 4 bar. Determine change in entropy-and, work done. Assume
(06 Marks)
290 K. The piston
until the pressure
nitrogen to be a
(06 Marks)
(09 Marks)
gas constant on a
(08 Marks)
gas constituent in a
(03 Marks)
a. Define the following : i) Tripple poinr i, Critical temperature
iii) Dryness fraction iv) Saturation temperature. (04 Marks)
b. Sketch and explain the constructiofl-and working of a separting and throttling calorimeter
used for determining the dryness fraction of steam in a boiier. (0E Marks)
c' Identify the typ€ of steam in ttreYbllowing three cases, using the steam tables and giving
necessary calculations supporting your claim.
i) 2kgof steam at 8 bar with an enthalpy of 5538.0 KJ atp temperarure of 170.4.C.
ii) 1 kg of steam at 2550 kPa occupies a volume of 0.2742 m3. Al.o find the steam
temperature.
iii) I kg and lry"m 60 bar with an enthalpy of 2470.73 kJ/kg. (08 Marks)
a. Write notes oil the following: i) Clausius-Clapeyron equation.-
,,,.i '11" "'
,,,,:,,,,,,,, . ii) Maxwells equations (08 Marks)
b. Derivt,, "dipression for change in entropy for an ideal gas undergoing i) an isobaric process
1nd,i*;a
polytropic process. (06 Marks)
c. gftf;kg of air undergoes a cycle composed of the following three reversible processes.:
"1il' Constant pressure expansion from 0.1 Mpa and 300 K to 400 K.
.' :- ii) Constant volume cooling to 300 K.
iii) An isothermal compression to restore the gas to 0.1 Mpa.
Sketch the P-V diagram for the above cycle and estimate the entropy changes for the three
processes. (06 Marks)
8 a. Write notes on the following: i) Compressibility factor ii) Compressibilitychart
perfect gas.
iii) Law of corresponding states.
b. A volumetric analysis of a gaseous mixture yields the following results:
COz - 127o , Oz = 4Vo , Nz = 82Vo, CO = 27o .
Determine the analysis on a mass basis, and the molecular weight and the
mass basis for the mixture. Assume ideal gas behavior.
c. Define the terms partial pressure mole fraction, volume fraction of a
mixture.
****x
7 of2

9. ,'-ffi
Third Semester B.E. f)egree Examin atio n,-.I[-lielJu ly 20 1 5
Mechanics of Materials
rl*g Time: 3 hrs. Max. Marks: ffi}o - sd
(B-
i: {r*, *u
-3 Note: L. Answer any FIYE fall questions, selecting #ry#(€
E -tr---t -rrin ---^-.1 ^-^^;-^--- --^r- ----t *'q-i
fi atleast TWO questions from each part. fl6:'
E 2. Missing data if any, may be suitably assumed. &rd
'
g :."tT*'
Eq PART-A .bkt"'*&
S= 1 a. State Hooke's law and define Poisson's ratio. ,fryU (03 Marks)
t 5 b. Explain stress - strain diagram for mild steel with salient featureg-** L,. (07 Marks)
Al c. A member ABCD is subjected to point loads Pr, Pz, P: effias shown in fig.Ql(c).
:E i Calculate the force P2 necessar/ for equilibrium. If Pr :4ffil.f3:450kN &Pq:130kN.
E :*- Determine stresses in each rnember also determhe tlp:bral elongation of the memberxbo . ei,
:5 assumingtheEtobe2.l x i05Nimm2. ",.j...
l" (toMarks)()Q
5()
o>
EA ,.i 6LS"'^t
k ,--l 1s5o m,*
f-*Pt
,.*
"Qf'/-f/
loME/AU34
qE Fig.el(c) "[___J
5s I I r I
; ! L tr-* 'i so"' -l ?*'^ 'J
x^ :t
S I 2 a. Derive an expression for volumetr{c Main of a rectangular bar, subjected to normal stress o
ii[( ":,s$i:
H'E - dk}" S+ee-r I-E$E?r d -
ur'j*
1= ,{"'r f*"A r., *r I
E tr ---r-------- -'-."--'-
f E along its axis. (06 Marks)
:E b. Define 3 modulii of elasticity SC write the relationship between them . (04 Marks)
E ; c. A composite bar consisting ol steel and aluminum components shown in fig. Q2(c) is held
f E frmly between two grig{"at the ends at a temperature of 600C. Find the stresses in the two
F q l*,*h.: temperarureS!'":::9:c. If i) ro..l1'_1:::l,n td ii) rhe ends vield bvE F rods, when temperaF. r.g,tblls to 20"C. If i) The ends do not yield ii) The ends yield by
; S 0.25mm. Take Es* 2 i igs Ni'mm: G: : 1.17 x 10-5/0C
9 E E,iffi.7 x 105N/rnm' oo:2.31* t0-5/c (r0Marks)
H E -.*L'tu rl
>! v
S A *" Fig.Q2(c) A
'6.E I
=
E +'.o. "a la I3= i
E I r,,.r" i-8@^* J - qom^ I
F; n*r '---_-.='+'-i
o - ^m"tu
5 € 3 *&)befine the principal stresses and principai planes. (03 Marks)5 F 3 @befine the principal stresses and principai planes. (03 Marks)
-.i 6i .^.-q 5. Explain the construction of Mohr's circle and represent principal stress. (07 Marks)
.p ffi c. At a certain point in a strained material the stress condition shown in fig.Q3(c) exists. Find
Z S' i) The normal and shear stress on the inclined plane AB ii) Principal stresses and
&;;q; '"' principal planes iii) Maximum shear stress. (10 Marks)
g ,*o *n{- I t'" 'ol^-*
lso $lmL
1 of2
Fig.Q3(c)
,.*$f
+o r{l--L

10. lOME/AU34
a. Derive an expression for strain energ.r. when a rnember subjected to impact loads.
(06 Marks)
b. Derive an expression for circuinferential stress of a thin cylinder. (04 Ma
c. A C.I pipe has 200mm internai diameter and 50mm metal thickness and carries watel
a pressure of 5N/mm2. Calculate the maximum and minimum intensities of ci
stress and sketch the distribution of circumferential stress intensity and intensi
pressure across the sectioe.
Fig.Qs(b)
Determine the de
; rt, ;l
@(IUMark$
b.
FASr -E 4%
Establish relationship between distributed load, shear force and bendiagqhment at a cross -
section of a beam. fl (06 Marks)
For the beam shown in fig. Q5{b), draw SFD and BMD and mark the values at the salient
poin*. " 6) (14 Marks)
,u *'. ''
a. Prove that U -
g =
gwith
usual notatioroii"n'
I YR
b. Abeamofan I- section consists of tr80plm x 15mm flanges and aweb of280mm x 15mm
thickness. It is subjected to a sheaf fo'r6doi50kN. Sketch the shear stress distribution along
the depth of the section. (10 Marks).tilitL.
Derive an expressio, 9191. =El:-i- = 14 . w:,h '.rsual notations.
dx'
(10 Marks)
(10 Ma*s)7a.
b.
A
:-ffi*
ffira
k-"*
**#,h%ottow shaft of diameter ratio 3/8 is required to transmit 588Kw at 110 rpm, the
p)-'maximum torque being nA% of the mean. Shear stress is not to exceed 63N/mm2 and twistw in a length of 3m not to exceed i.4 degrees. Calculate external diameter of shaft which
would satisff these conditions. Take rnodulus of rigidity: 84 Gpa. (12 Marks)
b. Define slenderness ratio and derive Eutrer's expression for buckling load for column wittr
both ends hinged. (oE Marks)
&"
, Api"3
Fig.Q7(b)
2 af2

11. USN
'fhird Semester B.E. Degree Examination, Jun
Fluid Mechanics
Time: 3 hrs.
U36B
Max. Marks:100
(10 Marks)
(04 Marks)
(06 Marks)
()
o
i
()
I
?.)
P
:h
3
"riaq
.=r
.= ol
6$
ota
-lo
Ra
,:
o()
_t
00-
=x-X
-;
o.j
,;z
=*!o
> (H
-^c
;o
Er
L.)<
-N
o
z
(d
Note: Answer any FIVE full questions, selectimg atleast TWO questions from each parl
PART _ A
I a. Differentiate the following : i) Liquids & gases ii) ,Pseudoplastic and Dilatant fluids.
b. Derive the expression for surface tension ofhollow bubble and liquid jet. [31 ffi[:]
c. Vertical gap 2.2cm wide of infinite extent contains a fluid of viscosity 2.0NS/m2 and,
specific gravity 0.9. Athin metallic plate 1.2m x l.Zm102cm is to be lifted up with a
velocity of 0.1Sm/sec through the gap. If the plate is in the-.rniddle of the gap, find the force
required to lift the plate. Weight of the plate is 40N. r;
2 a. Convert 1 kgflcm2 pressure in terms of : i) meies of water ii) mm of mercury.
With neat sketch, explain working of single column manometer.
A circular plate 3.0m diameter hqving concentric circular hole of diameter i.5m is
immersed in water such a way that itd greatest and least depths from free surface are 4m and,
i.5m respectively. Deterrrrine total pressure on one face of the plate and the position of
centre ofpressure.
3 a. Explain briefly : i) Steady and Unsteady flow
b.
c.
(04 Marks)
b. If for a two dimensional potential flow, the velocity potential is given bV 0 : x(2y - t),
determine value of stream function Y at that point. (06 Marks)
c. Derive expression for metacenhic height for a floating body in liquid. (10 Marks)
:r's equation of motion. Obtain Bemoulli's equation fro* Urr.r's equation of4 a. Derive Eulgr's equation of motion. Obtain Bemoul
motion. State the assumptions made. (10 Marks)
b. A pqup has a tapering pipe running fulI of water. The pipe is placed vertically with the
diameter at the base and top being 1.2m and 0.6m respectively. The pressure at the upper
end is 24Omm of mercury (vacuum). The pressure at the upper end is t3kN/m2. Assume ioss
of head to be ZAoh difference in velocity head. Calculate the discharge when flow is
vertically upwards and difference in elevation is 3.9m. (10 Marks)
PART - B
5 a. Derive expression for actual discharge through orifice meter. Explain how orifice meter is
d ifferent from v enturimeter. (10 N{arks)
b. ln a fuel injection system, small droplets are formed by break up of liquid jet. Assume the
droplet diameter 'd' is function of liquid density p, viscosity p, surface tension o, nozzle
diameter D and jet velocity v. Show using Buckingham's z - theorem
%=flf{L,+lL p pv]
Considering (D, V, p) are repeating variables.
I of2
(10 Marks)
ii) Uniform and Non unifonn flow.
(10 Marks)

12. 6a,
b.
1OME36B/1OAU368
Derive expression for loss of head due to sudden enlargement during fluid flow. (08 Marks)
I{orizontal pipe of diameter 500mm is suddenly contracted due to a diarneter of 250mm.
The oressure intensities in the large and smaller pipe is given as 13.7341.{/cm2 an6
11.772Nlcm2 respectively. Find the loss of head clue to contraction if C. : 0.62. Al-co
determine rate of flow. (08 Marks;
Find the diameter of a pipe of length 2000m'*,hen the rate of flow of water through the pipe
is 200 litresisec and head loss due to friction is 4m. Take r.alue of'C : 50 in Chezv's
equation. Given hydraulic mean depth m: dl4. (04 N,[arks)
a. For flow between two parallel stationary plates show that maximum velocity is 1.5 tirnes
average veiocity. ' (0g Marks)
b. A crude oil of viscosity 0.97 and relative density 0.9 is fiowing through a horizontal circular
pipe of diameter 100mm and lengttr l0m. Calculate the difference of pressure at two en<ls if
100kg of oil is collected in a tank in 30 seconds. Assume laminar flow.
c. Explain how laminar and turbulent flows are different.
(08 h'trarks)
(04 Marks)
(08 Marks)
(04 Marks)
8a.
b.
Derive expression lbr velocity of sound. (08 Marks)
Find displacement thickness, momentum thickness for the velocity distribution in bounda-ry
rayergiven by
+
=r(%)-(%)'
Write sht'rrt notes on :
i) Drag &,lift forces ii) Subsonic and Supersonic flou,s.
2 ofZ

13. t$;l;l)?)
USN
Time: 3 hrs.
PART _ A
a. List and explain different steps involved in making sound casting.
b. Define pattern explain with neat sketch 'sweep' pattern.
List the different properties of moulding sand, and explain un,
"u..With a neat sketch explain sand slinger.
Explain with neat sketch 'shell moulding' process.
Explain with neat sketch true centrifugal casting.
ME/AU35
Max. Marks:1O0
(10 Marks)
(10 Marks)
(10 Marks)
(10 Marks)
(12 Marks)
(08 Marks)
(10 Marks)
(10 Marks)
(10 Marks)
(20 Marks)
(14 Marks)
(06 Marks)
Third Semester B.E. Degree Examination, Juniiffi y 2Ol5
Manufacturing Process - I
Note: Answer FIVE full questions, selecting
at least TWO questions from each part.
2a.
b.
o
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o.
E
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o
oX
',.-e
d9
-il
ccc
.= ai(g <f,
-c Ll
*.,
c;i
LY
ov
40tr
-t6-
= :''i
c-x
o..<);
i=
qii
LO
5.v
qao,-C
6=
tr>Xo
o
U<
-i c.i
o
z
a
3a.
b.
4a. How melting furnaces are classified? Explain cupola furnace with neat sketch. (14 Marks)
Differentiate oil fired crucible furnace over a coke fired furnace. (06 Marks)
5a.
b.
6a.
b.
7
8a.
b.
." PART _ B
Define welding. List the advantages, disadvantages and applications.
Explain with a neat sketch 'TlG' welding and list its applications.
Explain with a neat sketch Laser beam welding process.
What is the principle of Resistance welding? With a neat sketch Explain 'Thermit' welding.
(10 Marks)
Write a short notes on the following
i) I{e,at affected zone (HAZ).
ii) Welding defects.
iii) Residual stresses.
iv) Electrodes.
Explain the following NDT with sketches.
i) Radiographyinspection
ii) Magnetic particle inspection.
Differentiate between Soldering and Brazing .