Table Of Content

--�---------- ---�--- - " MECHANICAL IEMSA STER ENGINEERING PUBLICATION J SAMAf<.JJT SltJ�H CiATSEO LUTIONS MECHANICAL ENGINEERING .-·-·-·-·-·-·-·-·-·-·-·-·-·-·-·� . (, F r(o1m9 -28071 8); . \ ·-·----�----·-·-·-·-·-·-·-·-·-·✓ " Office: F-1(2L6o,Bw aesre tm)Ke,an twSaarrNiaaeiD w,e lhi-•P1ho1ne0: 001161 -26522064 Mobile: 813099079121280•5,E 3 -m9ail0: i8n fo@[email protected] , Web: iesmasterpuibelsimcaasttieorn.so.rcgo m, IES MASTER PUBLICATION F-126, (Lower Basement), Katwaria Sarai, New Delhi-110016 Phone: Mobile: 011-26522064, 8130909220, 9711853908 E-mail : [email protected], [email protected] Web : iesmasterpublications.com, iesmaster.org All rights reserved. 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, or otherwise or stored in a database or retrieval system without the prior permission of 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 } ? 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.. ................................... ( lt®tf,Jiti 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 ------------------□□□----------------- Regd. office: F-126, (Upper Basement), Katwaria Sarai, New Delhi-110016 • Phone: 011-41013406 Mob.: 8010009955, 9711853908 • E-mail: [email protected], [email protected]