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MECHANICAL
IEMSA STER
ENGINEERING
PUBLICATION
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SAMAf<.JJT SltJ�H
CiATSEO LUTIONS
MECHANICAL ENGINEERING
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Office: F-1(2L6o,Bw aesre tm)Ke,an twSaarrNiaaeiD w,e lhi-•P1ho1ne0: 001161 -26522064
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Copyright© 2018, by IES MASTER Publications. No part of this booklet may be reproduced,
or distributed in any form or by any means, electronic, mechanical, photocopying, recording,
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IES MASTER, New Delhi. Violates are liable to be legally prosecuted.
2017
Second Edition
2018
Third Edition
Typeset at: JES Master Publication, New Delhi-110016
PREFACE
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It is an immense pleasure to present topic wise previous years solved paper of GATE Exam.
This booklet has come out after long observation and detailed interaction with the students
i
i preparing for GATE exam and includes detailed explanation to all questions. The approach has
been to provide explanation in such a way that just by going through the solutions, students will
be able to understand the basic concepts and will apply these concepts in solving other questions
that might be asked in future exams.
GATE exam now a days has become more important because it not only opens the door for
higher education in institutes like IIT, IISC, NIT's but also many of the PSU s have started inducting
\
students on the basis of GATE score. In PSU's, which are not inducting through GATE route, the
)
questions in their exams are asked from GATE previous year papers. Thus, availability of authentic
solutions to the students is the need of the day. Towards this end this booklet becomes
indispensable.
I am thankful to IES master team without whose support, I don't think, this book could have been
,,,
flawlessly produced.
Every care has been taken to bring an error free book. However comments for future improvement
are most welcome.
MrK.a nchKaunm aTrh akur
Director Ex-lES
CONTENTS
1.F luMiedc ha.n.i.c.s. .....................0.1-.8.7. .............................................................
2. HeaTtr an.s.f.e.r. .......................................8..8..-6..10.. ..........................................
3.R efrigaenrAdai tCrio onnd it.i.o.n.i.n.g. ...........1.6.1.-.1.9.4. ...................................
4.T heordmynaamniAdcp sp lic.a.t.i.o.n.s. ..........1.9.5.-.3.2.4. ...................................
5.E ngineMeercihnag.n .i.c.s. ............................3.2.5.-.3.7.4. ....................................
6. TheoorfMy a chi.n.e.s. ....................3.7.54.-6.9. .....................................................
7.S treonfMg taht er.i.a.l.s. ..................4.7.0.-.5.7.1. ...................................................
8.M achDieniseg .n. .......................5.7.2.-.6.3.0. .......................................................
9.I ndruisEatnlg ine.e.r.i.n.g. .................6.31.-.7.0.7. ..................................................
10P.r oduEcntgiionne .e.r.i.n.g. ...............7.0.8.-.1.0.0.8. .............................................
11E.n gineMeartihnegm .a.t.i.c.s. ......................1..0..0..9..-..1..1..0..4.. ................. .......
. 12G.e neArpatli .t.u.d.e. ...................1.01.5 .-.31.91. ......................................................
13E.n gl.i.s.h. .........................................1..1..4..0..-..1..1..4..8.. ...................................
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Fluid properties, fluid statics, manometry, buoyancy, forces on submerged bodies,
stability of floating bodies, control volume analysis of mass, momentum and energy;
fluid acceleration; differential equations of continuity and momentum; Bernoulli's
equation, dimensional analysis, viscous flow of incompressible fluids, boundary layer;
elementary turbulent flow; flow through pipes, head losses in pipes, bends and fittings.
Turbomachinery: Pelton wheel, Francis and Kaplan turbines impulse and reaction
principles, velocity diagrams.
-----(CONTENTS)-----
I · · I
Clu1pter Page
Topic
No. _ _ _ No.
1. FluiPdro pertesi- -----------------------------------------------------------01-05
2. FluSiatdt is-c ---------------------------------------------------------------0-6-15
3. FluiKdin ematis--c ---------------------------------------------------------163-0
4. FluDiydnm aisc- -------------------3-1---4-8- -----------------------------------
5. IcnompresisblFelu isdF lwo-------------------------------4-9------62--- -----
6. BoundaryL aeyra ndD imensionalA nlayiss- -------6-3--7-3- -----------
7. Tubromachneiry- --------------------------------------------------------7-4 --78
Chapter
1
Fluid Properties
2 2
1-Mark
(a) 2.2 x 10-5 m /s (b) 1.6 x 10-5 m /s
2 2
2 (c) 1.2 x 10-5 m /s (d) 10-5 x m /s
1. The difference in pressure (in N/m ) across
[GATE 1999}
an air bubble of diameter 0.001 m immersed
in water (surface tension = 0.072 Nim) is 6. If 'p' is the gauge pressure within a spherical
droplet, the gauge pressure within a bubble
of the same fluid and of same size will be
[GATE2014]
2.
For a Newtonian fluid
(a) E (b) E
4 2
(a) Shear stress is proportional to shear
(d) 2p
strain (c) P
[GATE 1999]
(b) Rate of shear stress is proportional to
shear strain 7. Match 4 correct pairs between List-I and
List-II.
(c) Shear stress is proportional to rate of
shear strain List-I
(d) Rate of shear stress is proportional to rate (A) Steam nozzle (B) Compressible flow
of shear strain (C) Surface tension (D) Heat conduction
[GATE2 006] List-II
3.
A static fluid can have (1) Mach Number (2) Reaction Turbine
(a) non-zero normal and shear stress (3) Biot Number (4) Nusselt Number
(5) Super saturation (6) Weber Number
(b) negative normal stress and zero shear
[GATE 1997}
stress
(c) positive normal stress and zero shear 8. The dimension of surface tension is
1 2
stress (a) ML- (b) L T--l
2 2
(d) zero normal stress and non-zero shear (c) ML-1 T (d) MT--
stress [Gate 1996}
[Gate 2001] 9. A fluid is said to be Newtonian when the
4. shear stress is
The SI unit of kinematic viscosity ( v) is
2
(a) directly proportional to the velocity
(a) m /sec (b) kg/(m-sec)
2 3 2 gradient
(c) m/sec (d) m /sec
(b) inversely proportional to the velocity
[Gate 2001]
gradient
°
5.
Kinematic viscosity of air at 20 C is given to (c) independent of the velocity gradient
2
be °1.6 x 10-5 m /s. Its kinematic viscosity at (d) none of the above
70 C will be vary approximately [GATE 1995]
3
2-Marks
motion of the top plate. The force per unit
area (magnitude) required to maintain the
2
.
1. Consider· fluid flow between two infinite bottom plate stationary is __N /m
horizontal plates which are parallel
(the gap between them being 50 mm). The Viscosity of the fluid µ = 0.44 kg/m-s and
3.
top plate is sliding parallel to the stationary density p = 888 kg/m
bottom plate at a speed of 3 m/s. The flow
[GATE2016]
between the plates is solely due to the
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