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CITU |
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20240924161357.0 |
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| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781119101505 |
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| International Standard Book Number |
9781119765158 |
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(electronic bk. : oBook) |
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| International Standard Book Number |
1119765153 |
| Qualifying information |
(electronic bk. : oBook) |
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| International Standard Book Number |
9781119101512 |
| Qualifying information |
electronic book |
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1119101514 |
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electronic book |
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| International Standard Book Number |
9781119101529 |
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electronic book |
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| International Standard Book Number |
1119101522 |
| Qualifying information |
electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781119101536 |
| Qualifying information |
electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
1119101530 |
| Qualifying information |
electronic book |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| Cancelled/invalid ISBN |
9781119101505 |
| Qualifying information |
hardcover |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1002/9781119765158 |
| Source of number or code |
doi |
| 024 8# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
17506634 |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)1266201675 |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 042 ## - AUTHENTICATION CODE |
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pcc |
| 050 04 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA911 |
| Item number |
.S462 2023 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
532.05 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Preferred name for the person |
Shivamoggi, Bhimsen K., |
| Authority record control number |
https://id.loc.gov/authorities/names/n84105159 |
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author. |
| 245 10 - TITLE STATEMENT |
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| Title |
Introduction to theoretical and mathematical fluid dynamics / |
| Statement of responsibility, etc |
Bhimsen K. Shivamoggi, University of Central Florida, Orlando, United States. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
Third edition. |
| 264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Hoboken, NJ : |
| Name of publisher, distributor, etc |
John Wiley & Sons, Inc., |
| Date of publication, distribution, etc |
2023. |
| 264 #4 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Date of publication, distribution, etc |
©2023. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xviii, 558 pages) : |
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illustrations. |
| 336 ## - CONTENT TYPE |
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text |
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txt |
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rdacontent. |
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computer |
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c |
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rdamedia. |
| 338 ## - CARRIER TYPE |
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online resource |
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cr |
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rdacarrier. |
| 340 ## - PHYSICAL MEDIUM |
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rdacc |
| Authority record control number or standard number |
http://rdaregistry.info/termList/RDAColourContent/1003. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - CONTENTS |
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| Formatted contents note |
Table of Contents<br/><br/>Contents<br/><br/>Preface to the Third Edition xv<br/><br/>Acknowledgments xvii<br/><br/>Part I Basic Concepts and Equations of Fluid Dynamics 1<br/><br/>1 Introduction to the Fluid Model 3<br/><br/>1.1 The Fluid State 4<br/><br/>1.2 Description of the Flow-Field 5<br/><br/>1.3 Volume Forces and Surface Forces 7<br/><br/>1.4 Relative Motion Near a Point 10<br/><br/>1.5 Stress–Strain Relations 13<br/><br/>2 Equations of Fluid Flows 15<br/><br/>2.1 The Transport Theorem 16<br/><br/>2.2 The Material Derivative 18<br/><br/>2.3 The Law of Conservation of Mass 18<br/><br/>2.4 Equation of Motion 19<br/><br/>2.5 The Energy Equation 19<br/><br/>2.6 The Equation of Vorticity 22<br/><br/>2.7 The Incompressible Fluid 23<br/><br/>2.8 Boundary Conditions 24<br/><br/>2.9 A Program for Analysis of the Governing Equations 25<br/><br/>3 Hamiltonian Formulation of Fluid-Flow Problems 27<br/><br/>3.1 Hamiltonian Dynamics of Continuous Systems 28<br/><br/>3.2 Three-Dimensional Incompressible Flows 32<br/><br/>3.3 Two-Dimensional Incompressible Flows 35<br/><br/>4 Surface Tension Effects 39<br/><br/>4.1 Shape of the Interface between Two Fluids 39<br/><br/>4.2 Capillary Rises in Liquids 41<br/><br/>Part II Dynamics of Incompressible Fluid Flows 45<br/><br/>5 Fluid Kinematics and Dynamics 47<br/><br/>5.1 Stream Function 47<br/><br/>5.2 Equations of Motion 50<br/><br/>5.3 Integrals of Motion 50<br/><br/>5.4 Capillary Waves on a Spherical Drop 51<br/><br/>5.5 Cavitation 54<br/><br/>5.6 Rates of Change of Material Integrals 55<br/><br/>5.7 The Kelvin Circulation Theorem 57<br/><br/>5.8 The Irrotational Flow 58<br/><br/>5.9 Simple-Flow Patterns 62<br/><br/>(i) The Source Flow 62<br/><br/>(ii) The Doublet Flow 63<br/><br/>(iii) The Vortex Flow 66<br/><br/>(iv) Doublet in a Uniform Stream 66<br/><br/>(v) Uniform Flow Past a Circular Cylinder with Circulation 67<br/><br/>6 The Complex-Variable Method 71<br/><br/>6.1 The Complex Potential 71<br/><br/>6.2 Conformal Mapping of Flows 74<br/><br/>6.3 Hydrodynamic Images 82<br/><br/>6.4 Principles of Free-Streamline Flow 84<br/><br/>(i) Schwarz-Christoffel Transformation 84<br/><br/>(ii) Hodograph Method 93<br/><br/>7 Three-Dimensional Irrotational Flows 99<br/><br/>7.1 Special Singular Solutions 99<br/><br/>(i) The Source Flow 99<br/><br/>(ii) The Doublet Flow 101<br/><br/>7.2 d’Alembert’s Paradox 104<br/><br/>7.3 Image of a Source in a Sphere 105<br/><br/>7.4 Flow Past an Arbitrary Body 107<br/><br/>7.5 Unsteady Flows 109<br/><br/>7.6 Renormalized (or Added) Mass of Bodies Moving through a Fluid 111<br/><br/>8 Vortex Flows 115<br/><br/>8.1 Vortex Tubes 115<br/><br/>8.2 Induced Velocity Field 117<br/><br/>8.3 Biot-Savart’s Law 117<br/><br/>8.4 von Kármán Vortex Street 121<br/><br/>8.5 Vortex Ring 124<br/><br/>8.6 Hill’s Spherical Vortex 129<br/><br/>8.7 Vortex Sheet 131<br/><br/>8.8 Vortex Breakdown: Brooke Benjamin’s Theory 135<br/><br/>9 Rotating Flows 143<br/><br/>9.1 Governing Equations and Elementary Results 143<br/><br/>9.2 Taylor-Proudman Theorem 144<br/><br/>9.3 Propagation of Inertial Waves in a Rotating Fluid 146<br/><br/>9.4 Plane Inertial Waves 147<br/><br/>9.5 Forced Wavemotion in a Rotating Fluid 150<br/><br/>(i) The Elliptic Case 153<br/><br/>(ii) The Hyperbolic Case 154<br/><br/>9.6 Slow Motion along the Axis of Rotation 155<br/><br/>9.7 Rossby Waves 160<br/><br/>10 Water Waves 167<br/><br/>10.1 Governing Equations 168<br/><br/>10.2 A Variational Principle for Surface Waves 169<br/><br/>10.3 Water Waves in a Semi-Infinite Fluid 171<br/><br/>10.4 Water Waves in a Fluid Layer of Finite Depth 172<br/><br/>10.5 Shallow-Water Waves 174<br/><br/>(i) Analogy with Gas Dynamics 175<br/><br/>(ii) Breaking of Waves 176<br/><br/>10.6 Water Waves Generated by an Initial Displacement over a Localized Region 176<br/><br/>10.7 Waves on a Steady Stream 182<br/><br/>(i) One-Dimensional Gravity Waves 183<br/><br/>(ii) One-Dimensional Capillary-Gravity Waves 184<br/><br/>(iii) Ship Waves 185<br/><br/>10.8 Gravity Waves in a Rotating Fluid 188<br/><br/>10.9 Theory of Tides 193<br/><br/>10.10 Hydraulic Jump 195<br/><br/>(i) Tidal Bores 195<br/><br/>(ii) The Dam-Break Problem 199<br/><br/>10.11 Nonlinear Shallow-Water Waves 202<br/><br/> (i) Solitary Waves 206<br/><br/>(ii) Periodic Cnoidal Waves 208<br/><br/>(iii) Interacting Solitary Waves 214<br/><br/>(iv) Stokes Waves 219<br/><br/>(v) Modulational Instability and Envelope Solutions 220<br/><br/>10.12 Nonlinear Capillary-Gravity Waves 230<br/><br/>(i) Resonant Three-Wave Interactions 230<br/><br/>(ii) Second-Harmonic Resonance 235<br/><br/>11 Applications to Aerodynamics 241<br/><br/>11.1 Airfoil Theory: Method of Complex Variables 242<br/><br/>(i) Force and Moments on an Arbitrary Body 242<br/><br/>(ii) Flow Past an Arbitrary Cylinder 245<br/><br/>(iii) Flow Around a Flat Plate 248<br/><br/>(iv) Flow Past an Airfoil 250<br/><br/>(v) The Joukowski Transformation 253<br/><br/>11.2 Thin Airfoil Theory 259<br/><br/>(i) Thickness Problem 262<br/><br/>(ii) Camber Problem 264<br/><br/>(iii) Flat Plate at an Angle of Attack 269<br/><br/>(iv) Combined Aerodynamic Characteristics 271<br/><br/>(v) The Leading-Edge Problem of a Thin Airfoil 271<br/><br/>11.3 Slender-Body Theory 275<br/><br/>11.4 Prandtl’s Lifting-Line Theory for Wings 277<br/><br/>11.5 Oscillating Thin-Airfoil Problem: Theodorsen’s Theory 282<br/><br/>Part III Dynamics of Compressible Fluid Flows 297<br/><br/>12 Review of Thermodynamics 299<br/><br/>12.1 Thermodynamic System and Variables of State 299<br/><br/>12.2 The First Law of Thermodynamics and Reversible and Irreversible Processes 300<br/><br/>12.3 The Second Law of Thermodynamics 303<br/><br/>12.4 Entropy 304<br/><br/>12.5 Liquid and Gaseous Phases 307<br/><br/>13 Isentropic Fluid Flows 309<br/><br/>13.1 Applications of Thermodynamics to Fluid Flows 309<br/><br/>13.2 Linear Sound Wave Propagation 310<br/><br/>13.3 The Energy Equation 310<br/><br/>13.4 Stream-Tube Area and Flow Velocity Relations 312<br/><br/>14 Potential Flows 317<br/><br/>14.1 Governing Equations 317<br/><br/>14.2 Streamline Coordinates 319<br/><br/>14.3 Conical Flows: Prandtl-Meyer Flow 320<br/><br/>14.4 Small Perturbation Theory 324<br/><br/>14.5 Characteristics 326<br/><br/>(i) Compatibility Conditions in Streamline Coordinates 328<br/><br/>(ii) A Singular-Perturbation Problem for Hyperbolic Systems 331<br/><br/>15 Nonlinear Theory of Plane Sound Waves 343<br/><br/>15.1 Riemann Invariants 343<br/><br/>15.2 Simple Wave Solutions 344<br/><br/>15.3 Nonlinear Propagation of a Sound Wave 352<br/><br/>15.4 Nonlinear Resonant Three-Wave Interactions of Sound Waves 355<br/><br/>15.5 Burgers Equation 361<br/><br/>16 Shock Waves 371<br/><br/>16.1 The Normal Shock Wave 371<br/><br/>16.2 The Oblique Shock Wave 384<br/><br/>16.3 Blast Waves: Taylor’s Self-similarity and Sedov’s Exact Solution 387<br/><br/>17 The Hodograph Method 393<br/><br/>17.1 The Hodograph Transformation of Potential Flow Equations 393<br/><br/>17.2 The Chaplygin Equation 394<br/><br/>17.3 The Tangent-Gas Approximation 396<br/><br/>17.4 The Lost Solution 401<br/><br/>17.5 The Limit Line 402<br/><br/>18 Applications to Aerodynamics 411<br/><br/>18.1 Thin Airfoil Theory 411<br/><br/>(i) Thin Airfoil in Linearized Supersonic Flows 411<br/><br/>(ii) Far-Field Behavior of Supersonic Flow Past a Thin Airfoil 414<br/><br/>(iii) Thin Airfoil in Transonic Flows 417<br/><br/>18.2 Slender Bodies of Revolution 420<br/><br/>18.3 Oscillating Thin Airfoil in Subsonic Flows: Possio’s Theory 427<br/><br/>18.4 Oscillating Thin Airfoils in Supersonic Flows: Stewartson’s Theory 435<br/><br/>Part IV Dynamics of Viscous Fluid Flows 439<br/><br/>19 Exact Solutions to Equations of Viscous Fluid Flows 441<br/><br/>19.1 Channel Flows 442<br/><br/>19.2 Decay of a Line Vortex: The Lamb-Oseen Vortex 443<br/><br/>19.3 Line Vortex in a Uniform Stream 446<br/><br/>19.4 Diffusion of a Localized Vorticity Distribution 446<br/><br/>19.5 Burgers Vortex 451<br/><br/>19.6 Flow Due to a Suddenly Accelerated Plane 453<br/><br/>19.7 The Round Laminar Jet: Landau-Squire Solution 456<br/><br/>19.8 Ekman Layer at a Free Surface in a Rotating Fluid 459<br/><br/>19.9 Centrifugal Flow Due to a Rotating Disk: von Kármán Solution 462<br/><br/>19.10 Shock Structure: Becker’s Solution 464<br/><br/>19.11 Couette Flow of a Gas 467<br/><br/>20 Flows at Low Reynolds Numbers 469<br/><br/>20.1 Dimensional Analysis 469<br/><br/>20.2 Stokes’ Flow Past a Rigid Sphere: Stokes’ Formula 470<br/><br/>20.3 Stokes’ Flow Past a Spherical Drop 474<br/><br/>20.4 Stokes’ Flow Past a Rigid Circular Cylinder: Stokes’ Paradox 478<br/><br/>20.5 Oseen’s Flow Past a Rigid Sphere 479<br/><br/>20.6 Oseen’s Approximation for Periodically Oscillating Wakes 483<br/><br/>21 Flows at High Reynolds Numbers 489<br/><br/>21.1 Prandtl’s Boundary-Layer Concept 489<br/><br/>21.2 The Method of Matched Asymptotic Expansions 490<br/><br/>21.3 Location and Nature of the Boundary Layers 497<br/><br/>21.4 Incompressible Flow Past a Flat Plate 500<br/><br/>(i) The Outer Expansion 501<br/><br/>(ii) The Inner Expansion 502<br/><br/>(iii) Flow Due to Displacement Thickness 507<br/><br/>21.5 Separation of Flow in a Boundary Layer: Landau’s Theory 509<br/><br/>21.6 Boundary Layers in Compressible Flows 512<br/><br/>(i) Crocco’s Integral 514<br/><br/>(ii) Flow Past a Flat Plate: Howarth-Dorodnitsyn Transformation 516<br/><br/>21.7 Flow in a Mixing Layer between Two Parallel Streams 517<br/><br/>(i) Geometrical Characteristics of the Mixing Flow 520<br/><br/>21.8 Narrow Jet: Bickley’s Solution 521<br/><br/>21.9 Wakes 524<br/><br/>21.10 Periodic Boundary Layer Flows 524<br/><br/>22 Jeffrey-Hamel Flow 529<br/><br/>22.1 The Exact Solution 529<br/><br/>(i) Only 𝑒1 Is Real and Positive 531<br/><br/>(ii) 𝑒1, 𝑒2, and 𝑒3 Are Real and Distinct 532<br/><br/>22.2 Flows at Low Reynolds Numbers 535<br/><br/>22.3 Flows at High Reynolds Numbers 541<br/><br/>References 545<br/><br/>Bibliography 549<br/><br/>Index 551 |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
"In dealing with a fluid, one is in reality dealing with a system which has many particles which interact with one another. The main utility of fluid dynamics is the ability to develop a formalism which deals solely with a few macroscopic quantities like pressure while ignoring the details of the particle interactions. Therefore, the techniques of fluid dynamics have often been found useful in modeling systems with complicated interactions (which are either not known or very difficult to describe) between the constituents. Thus, the first successful model of the nuclear fission of heavy elements was the liquid drop model of the nucleus, which treats the nucleus as a fluid, and hence replaces the many body problem of calculating the interactions of all of the protons and neutrons with the much simpler problem of calculating the pressures and surface tension in this fluid.1 Of course, this treatment gives only a very rough approximation to reality, but it is nonetheless a very useful way of approaching the problem"-- |
| Assigning source |
Provided by publisher. |
| 545 0# - BIOGRAPHICAL OR HISTORICAL DATA |
|---|
| Biographical or historical note |
About the Author<br/><br/>Bhimsen K. Shivamoggi, PhD, is Professor in the Departments of Mathematics and Physics at the University of Central Florida. He is a Senior Fellow of the Japan Society for the Promotion of Science. His research is focused on mathematical physics, fluid dynamics, stochastic processes, and nonlinear dynamics.<br/> |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Fluid dynamics. |
| Authority record control number |
https://id.loc.gov/authorities/subjects/sh85049376. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Fluid dynamics |
| General subdivision |
Mathematical models. |
| Authority record control number |
https://id.loc.gov/authorities/subjects/sh2008103862. |
| 650 #2 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Hydrodynamics. |
| Authority record control number |
https://id.nlm.nih.gov/mesh/D057446. |
| 655 #4 - INDEX TERM--GENRE/FORM |
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| Genre/form data or focus term |
Electronic books. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
https://onlinelibrary.wiley.com/doi/book/10.1002/9781119765158 |
| Link text |
Full text is available at Wiley Online Library Click here to view. |
| 942 ## - ADDED ENTRY ELEMENTS |
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| Source of classification or shelving scheme |
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| Item type |
EBOOK |