Foundations and applications of mechanics: 2 Fluid mechanics
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Delhi
Cambridge University Press
2015
|
| Ausgabe: | Third edition |
| Schriftenreihe: | Cambridge IISc series
|
| Schlagworte: | |
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Beschreibung: | xx, 570 Seiten Illustrationen, Diagramme |
| ISBN: | 9781107091290 |
Internformat
MARC
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| 245 | 1 | 0 | |a Foundations and applications of mechanics |n 2 |p Fluid mechanics |c C.S. Jog |
| 250 | |a Third edition | ||
| 264 | 1 | |a Delhi |b Cambridge University Press |c 2015 | |
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| 490 | 0 | |a Cambridge IISc series | |
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| 650 | 4 | |a Fluid mechanics | |
| 650 | 4 | |a Laminar flow | |
| 650 | 4 | |a Surface waves | |
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| 650 | 4 | |a Viscous flow | |
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Datensatz im Suchindex
| _version_ | 1804174990977794048 |
|---|---|
| adam_text | Cambridge - IISc Series
Fluid mechanics is the study of fluids including liquids and gases, and the forces acting
on and generated by them. The study of fluid mechanics is crucial to predict rainfall,
ocean currents, reducing drag on cars and airplanes and the design of engines. This
book discusses the subject of fluid mechanics in detail, and provides an in-depth
treatment of the governing equations and engineering-related applications.
This volume starts by presenting a detailed summary of the governing equations
including kinematics and balance laws. In presenting this summary, particular
emphasis is placed on relatively recent topics such as restrictions imposed by the
second law of thermodynamics, material frame-indifference, etc. It then shows how
the equations for a wide range of important topics such as ideal fluid flow, surface
waves, laminar incompressible and compressible flows, low Reynolds number
hydrodynamics, etc. can be derived by making suitable approximations to the most
general form of the governing equations presented at the outset. The theory in each
chapter is illustrated by considering a number of examples and engineering-related
applications. A number of advanced topics such as analytical solutions to steady
and transient flows of incompressible fluids, and to the acoustic wave equation are
covered in this book.
C. S. Jog is Professor at the Department of Mechanical Engineering, Indian Institute
of Science, Bangalore. Having more than 20 years of experience in teaching and
research, Jog has published more than 40 papers in various international journals.
He teaches courses on solid mechanics, continuum mechanics, and the finite element
method, primarily at postgraduate level. His research interests include continuum
mechanics, elasticity, fluid-structure interaction problems and development of new
finite element strategies.
Cambridge
UNIVERSITY PRESS
www.cambridge.org
Cover image source: ArTDilOI / Shutterstock
Contents
Z
List of Figures viii
List of Tables xv
Preface xvii
Notation xix
1 Kinematics and Governing Equations 1
1.1 Tensor Identities 1
1.2 Kinematics 2
1.2.1 Lagrangian and Eulerian descriptions 2
1.2.2 Flow lines 5
1.2.3 Analysis of deformation 5
1.2.4 Vortex lines and circulation 8
1.3 Governing Equations 9
1.3.1 Conservation of mass 11
1.3.2 Balance of linear momentum 12
1.3.3 Balance of angular momentum 14
1.3.4 Principle of material frame-indifference 15
1.3.5 Definition of a fluid 21
1.3.6 The first law of thermodynamics 23
1.3.7 The second law of thermodynamics 26
1.3.8 The Navier-Stokes and energy equations 36
1.3.9 Summary of the governing equations for a Newtonian fluid 37
1.4 Nature of the Governing Equations 38
1.5 Boundary Conditions on Velocity and Temperature 39
1.5.1 Kinematic boundary conditions on the velocity field 40
1.5.2 Dynamical boundary conditions at a fluid-rigid solid interface 41
1.5.3 Dynamical boundary conditions at a fluid-fluid interface 42
1.5.4 Boundary conditions on temperature 52
1.6 Dimensionless Parameters 53
1.7 Special Forms of the Governing Equations 55
1.7.1 First integral of the momentum equation 56
1.7.2 Bernoulli s equation 65
1.7.3 Kelvin s circulation theorem 70
1.7.4 Helmholtz s vorticity equation 72
iv Contents
1.8 Example Applications 73
1.8.1 Flow past a cylinder 73
1.8.2 von Karman momentum integral 76
1.8.3 Flow of inviscid fluid over a bump 78
1.8.4 Jet impacting on a moving plate 83
1.8.5 Rocket propulsion 87
1.8.6 Impulse turbine 88
1.8.7 Slip-stream analysis of a wind turbine 92
1.8.8 Flow through a pipe network 95
2 Hydrostatics 103
2.1 Force on a Plane Surface 104
2.2 Forces on a Curved Surface 106
2.3 Example Applications 110
3 Ideal Fluid Flow 119
3.1 Simplification of the Euler Equations for Potential Flow 119
3.2 Two-Dimensional Potential Flow 120
3.3 Circulation and Volume Flow Rate 125
3.4 Elementary Complex Potentials 126
3.5 Rankine Oval 133
3.6 Uniform Flow Past a Cylinder 135
3.7 Uniform Flow Past an Elliptic Cylinder/Motion
of an Elliptic Cylinder in a Stationary Fluid 138
3.8 Method of Images 139
3.9 Blasius Force Theorems 142
3.10 Row Past a Cylinder with Point Vortex at the Origin 148
3.11 Circle Theorem 151
3.12 Conformal Mapping 154
3.13 Free-Streamline Theory 162
3.14 Flow Inside/Outside a Rotating Prismatic Tube 166
3.15 Two-Dimensional Flow with Vorticity 171
3.16 Three-Dimensional Potential Row 173
3.17 Elementary Potentials 178
3.18 Force on a Rigid Body in Potential How 181
3.19 Flow Around a Sphere 182
3.20 Flow Around a Prolate Spheroid 184
3.21 Kinetic Energy of a Moving Ruid 185
3.22 Motion of a Sphere Through a Stationary Fluid 187
3.23 Motion of a Bubble through a Stationary Fluid 189
Contents V
4 Surface Waves 201
4.1 Governing Equations for Surface Waves 201
4.2 Small Amplitude Two-Dimensional Waves 203
4.3 Small-Amplitude Traveling Waves 205
4.3.1 Particle paths for traveling waves 207
4.3.2 Stream function for traveling waves 208
4.4 The Dispersion Relation 209
4.5 Standing Waves 210
4.6 Traveling Waves at the Interface of Two Liquids 211
4.7 Group Velocity 214
4.8 Shallow-Water Finite Waves 217
4.8.1 The wave equation 219
4.8.2 Finite-amplitude waves: The method of characteristics 223
4.9 The Dam Breaking Problem 227
4.9.1 The dam break problem without tailwater 227
4.9.2 Shock waves 230
4.9.3 Dam break problem with tailwater 234
4.10 Lagrangian formulation 236
5 Exact Solutions to Flow Problems of an Incompressible Viscous Fluid 242
5.1 Governing Equations 243
5.2 Plane Steady Unidirectional Flows 246
5.3 Poiseuille Flow 250
5.4 Stagnation-Point Flow 267
5.5 Flow in a Converging or Diverging Channel 270
5.6 Flow between Rotating Cylinders 273
5.7 Fluid in a Rotating Body 276
5.8 Flow over an Infinite Rotating Disc 277
5.9 Unsteady Flow Problems 278
5.9.1 Radial growth or collapse of a spherical bubble 278
5.9.2 Stokes problems 279
5.9.3 Generalized Couette (or generalized Stokes) flow in a channel 284
5.9.4 Unidirectional flow through a circular pipe 290
5.9.5 Transient flow inside or outside a rotating cylinder 299
5.9.6 Transient flow in an annular duct 302
5.9.7 Transient flow in a duct of rectangular cross section 305
5.9.8 Squeeze-film flows 306
5.10 Wind Driven Ocean Currents: The Ekman Layer 313
6 Laminar Boundary Layer Theory 326
6.1 Governing Equations 327
VI Contents
6.2 Blasius Solution 330
6.3 Falkner-Skan Solution 334
6.4 Displacement and Momentum Thickness 338
6.5 Approximate Techniques: The von Karman Momentum Integral 339
6.6 Thermal Boundary Layer 343
7 Low-Reynolds Number Hydrodynamics 352
7.1 Lubrication Theory 352
7.2 Low-Inertia External Flows 355
7.3 Three-Dimensional Axisymmetric Flows 357
7.3.1 Solution using separation of variables 359
7.3.2 Uniform flow around a sphere/spherical cap 363
7.3.3 Motion of a spherical bubble in a fluid 365
7.3.4 Flow over a prolate spheroid 369
7.3.5 Flow through a conical tube 371
7.4 Flow Between Rotating Axially Symmetric Bodies 371
7.5 General Formulation for Two-Dimensional Problems 377
7.5.1 Uniform flow around a circular cylinder 378
7.5.2 Elliptical cylinder rotating in an unbounded viscous fluid 379
8 Compressible Fluid Flow 381
8.1 One-Dimensional Flow Equations 382
8.2 Acoustic Theory: The Wave Equation 384
8.2.1 Straight duct with specified acceleration at the left end and
= 0 or dpk/dx = 0 at the other 391
8.2.2 Straight duct with specified acceleration at the left end
and spring-mass system at the other 399
8.2.3 Pulsating sphere 400
8.2.4 Accelerated rigid sphere 411
8.2.5 Generalization of pulsating and oscillating sphere examples 418
8.2.6 Vibrating circular piston in an infinite rigid baffle 420
8.2.7 Pulsating circular cylinder 423
8.2.8 Accelerated circular cylinder in a rigid cylinder 430
8.3 Isentropic Flow Relations for a One-Dimensional Steady Flow Field 434
8.4 Solution of the One-Dimensional Flow Equations 436
8.5 Normal Shock 442
8.5.1 Stationary normal shock 442
8.5.2 Moving shock wave 444
8.5.3 Structure of a normal shock 447
8.6 Oblique Shock and Expansion Waves 451
8.6.1 Mach waves 452
8.6.2 Oblique shock relations 453
Contents vii
8.6.3 Prandtl-Meyer expansion, waves 462
8.7 Shock-Expansion Theory 465
8.8 Isentropic Flow through Variable-Area Ducts 470
8.9 Area-Velocity Relation 472
8.10 Flow Through a Convergent-Divergent Nozzle 474
8.11 Unsteady One-Dimensional Flow Problems: Finite Waves 482
8.12 The Shock Tube Problem 484
8.13 Compressible Couette Flow 487
Appendices 492
A Governing Equations in Cylindrical Coordinates 492
B Governing Equations in Spherical Coordinates 494
C Governing Equations in Elliptic Cylindrical Coordinates 496
D Governing Equations in Bipolar Cylindrical Coordinates 498
E A General Solution to the Axisymmetric Laplace and
Biharmonic Equations in Spherical Coordinates 500
F The Laplace Transform Method 507
G Fourier-series Expansion of some Functions 509
Bibliography 543
Answers and Hints to Selected Exercises 550
Index 565
|
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| indexdate | 2024-07-10T07:09:11Z |
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| isbn | 9781107091290 |
| language | English |
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| spelling | Jog, Chandrashekhar S. Verfasser aut Foundations and applications of mechanics 2 Fluid mechanics C.S. Jog Third edition Delhi Cambridge University Press 2015 xx, 570 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Cambridge IISc series Continuum mechanics Fluid mechanics Laminar flow Surface waves Thermoelasticity Viscous flow (DE-604)BV043448250 2 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028198354&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028198354&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jog, Chandrashekhar S. Foundations and applications of mechanics Continuum mechanics Fluid mechanics Laminar flow Surface waves Thermoelasticity Viscous flow |
| title | Foundations and applications of mechanics |
| title_auth | Foundations and applications of mechanics |
| title_exact_search | Foundations and applications of mechanics |
| title_full | Foundations and applications of mechanics 2 Fluid mechanics C.S. Jog |
| title_fullStr | Foundations and applications of mechanics 2 Fluid mechanics C.S. Jog |
| title_full_unstemmed | Foundations and applications of mechanics 2 Fluid mechanics C.S. Jog |
| title_short | Foundations and applications of mechanics |
| title_sort | foundations and applications of mechanics fluid mechanics |
| topic | Continuum mechanics Fluid mechanics Laminar flow Surface waves Thermoelasticity Viscous flow |
| topic_facet | Continuum mechanics Fluid mechanics Laminar flow Surface waves Thermoelasticity Viscous flow |
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