Fluid Mechanics

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Paperback | 19 May 1997

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520 Pages

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This text is intended for the study of fluid mechanics at an intermediate level. The presentation starts with basic concepts, in order to form a sound conceptual structure that can support engineering applications and encourage further learning. The presentation is exact, incorporating both the mathematics involved and the physics needed to understand the various phenomena in fluid mechanics. Where a didactical choice must be made between the two, the physics prevails. Throughout the book the authors have tried to reach a balance between exact presentation, intuitive grasp of new ideas, and creative applications of concepts. This approach is reflected in the examples presented in the text and in the exercises given at the end of each chapter. Subjects treated are hydrostatics, viscous flow, similitude and order of magnitude, creeping flow, potential flow, boundary layer flow, turbulent flow, compressible flow, and non-Newtonian flows. This book is ideal for advanced undergraduate students in mechanical, chemical, aerospace, and civil engineering. Solutions manual available.

Industry Reviews

' ... a solid introduction to fluid mechanics for undergraduate engineers ... If I were responsible for an undergraduate engineering course of the kind this book was designed for, I would have no hesitation in adopting it for use.' D. C. Montgomery, Nuclear Fusion 'The material to be covered in each chapter is clearly explained ... the explanations of the several phenomena are generally well thought out and the illustrative examples are appropriate.' E. C. Covert, Journal of Fluid Mechanics 'Overall, Fluid Mechanics is well-written and highly recommended as a textbook for teaching undergraduate engineers. The book should help provide physical insight, as well as the usual mathematical basis, for the foundations of dynamics in fluids.' Applied Mechanics Review 'The subject matter is presented in logical sequence, and the authors, very commendably, have not shied away from providing a thorough analysis wherever it is necessary, including a development of the Navier-Stokes equations, without in any way neglecting to explain the physical principles involved. In addition, each chapter contains useful and well thought out worked examples for the student to attempt ... This text contains in a well written and in a concise way the fundamentals of modern fluid mechanics without becoming involved with particular applications.' The Aeronautical Journal

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Non-Fiction Engineering & Technology Mechanical Engineering & Materials Mechanical Engineering Materials Science Mechanics of Fluids

Preface	p. XI
Introduction	p. 1
The Field of Fluid Mechanics	p. 1
The Continuum	p. 1
Local Properties in a Continuum	p. 2
Body and Surface Forces	p. 4
Stress at a Point	p. 4
Definition of a Fluid	p. 6
Units and Dimensions	p. 7
Dimensional Homogeneity	p. 9
Fluid Properties	p. 10
Problems	p. 14
Stress in a Fluid	p. 19
The Momentum Equations	p. 19
Index Notation	p. 22
Moments on a Cube	p. 23
Forces at a Point on a Plane	p. 25
The Elementary Tetrahedron	p. 27
Stress in a Fluid at Rest	p. 30
Stress in a Moving Fluid	p. 31
A Case where the Stress Is Not Constant	p. 33
The Stress Tensor	p. 36
Transformation of Coordinates--Vectors	p. 36
Transformation of Coordinates--Tensors	p. 37
Principal Directions	p. 38
Identical Principal Stresses--Pascal's Law	p. 46
References	p. 46
Problems	p. 47
Fluid Statics	p. 53
The Equation of Hydrostatics	p. 53
Manometers	p. 55
Equation of Hydrostatics in Accelerating Frames of Reference	p. 59
Forces Acting on Submerged Surfaces	p. 61
Force on a Submerged Plane Surface	p. 62
Forces on Submerged Surfaces--The General Case	p. 69
Hydrostatic Stability	p. 79
Problems	p. 83
Fluids in Motion--Integral Analysis	p. 97
Thermodynamic Systems and Control Volumes	p. 98
Reynolds Transport Theorem	p. 98
Control Volume Analysis of Conservation of Mass	p. 101
Conservation of Mass under Steady State Conditions	p. 103
The Momentum Theorem for a Control Volume	p. 106
Other Forces on the Control Volume	p. 112
Angular Momentum Theorem for a Control Volume	p. 123
Correction Factor for Average Velocity in Momentum Theorem	p. 128
Problems	p. 130
Fluids in Motion--Differential Analysis	p. 141
Differential Representation	p. 141
Streamlines, Stream Sheets and Stream Tubes	p. 142
The Material Derivative	p. 144
Conservation of Mass--The Equation of Continuity	p. 147
Newton's Second Law of Motion	p. 150
Newton's Law of Viscosity	p. 152
Analysis of Deformation	p. 153
Newtonian Fluids	p. 157
The Navier--Stokes Equations	p. 160
The Euler Equations	p. 162
Solutions for Two-dimensional Flows--The Stream Function	p. 163
The Pressure in the Momentum Equations	p. 171
Problems	p. 175
Exact Solutions of the Navier-Stokes Equations	p. 179
Flows between Parallel Plates	p. 179
Time-independent Flows	p. 184
Time-dependent Flow--The Rayleigh Problem	p. 187
Steady Flow in a Round Tube	p. 190
Flow in an Axisymmetric Annulus	p. 193
Flow between Rotating Concentric Cylinders	p. 197
References	p. 201
Problems	p. 201
Energy Equations	p. 213
Bernoulli's Equation	p. 213
Static, Dynamic and Total Pressures	p. 219
Extension to Compressible Flows	p. 221
Modifications of the Bernoulli Equation for Conduit Flow	p. 225
Low Pressures Predicted by Bernoulli's Equation	p. 232
References	p. 234
Problems	p. 234
Similitude and Order of Magnitude	p. 245
Dimensionless Equations	p. 245
Similitude	p. 248
Hidden Characteristic Quantities	p. 251
Order of Magnitude	p. 257
Estimates fo the Characteristic Quantities	p. 258
The Concept of Perturbations	p. 261
Singular Perturbations	p. 262
The Boundary Layer Equations	p. 262
Buckingham's [pi] Theorem	p. 266
References	p. 269
Problems	p. 270
Flows with Negligible Acceleration	p. 277
Flow in Narrow Gaps	p. 277
Reynolds Lubrication Theory	p. 279
Creeping Flows	p. 282
Two-dimensional Flows	p. 284
Axisymmetric Flows	p. 285
Stokes Flow around a Sphere	p. 287
Stokes Flow around a Cylinder	p. 293
References	p. 298
Problems	p. 298
High Reynolds Number Flows--Regions Far from Solid Boundaries	p. 303
Negligible Shear--The Euler Equations	p. 303
Irrotational Motion	p. 308
Potential Flow	p. 314
References	p. 326
Problems	p. 326
High Reynolds Number Flows--The Boundary Layer	p. 333
Flow over a Flat Plate--The Blasius Solution	p. 334
Von Karman--Pohlhausen Integral Method	p. 341
The Two-dimensional Laminar Jet	p. 345
References	p. 347
Problems	p. 348
Turbulent Flow	p. 355
Reynolds Experiment	p. 355
The Nature of Turbulence	p. 357
The Equations of Motion in Turbulent Flow	p. 358
Prandtl Mixing Length, Generalized Profiles	p. 360
The Moody Diagram	p. 362
Flow in Pipes	p. 369
Flow through Pipe Fittings	p. 373
Noncircular Pipes	p. 377
Coefficient of Drag	p. 378
Flow-induced Lift Forces	p. 380
Flowrate Measurement	p. 383
Turbulent Boundary Layers	p. 389
Integral Solutions for Boundary Layers	p. 390
References	p. 394
Problems	p. 394
Compressible Flow	p. 401
Speed of Infinitesimal Disturbances--Sonic Speed	p. 401
Propagation of Finite Disturbances	p. 404
The Piston Analogy	p. 406
Quasi-one-dimensional Flow, Stagnation Properties	p. 408
Nozzle Flow	p. 412
Mass Flux through the Nozzle	p. 413
The Design and Performance of a Nozzle	p. 416
Tables of One-dimensional Compressible Flow	p. 420
Nonisentropic One-dimensional Flows	p. 421
Pipe Flow with Friction	p. 422
Frictionless Pipe Flow with Heat Transfer	p. 426
Shock Wave Relations	p. 428
Oblique Shocks and Prandtl--Mayer Expansion	p. 432
Lift and Drag	p. 435
References	p. 436
Problems	p. 436
Non-Newtonian Fluids	p. 443
Flow of a Power-law Fluid in a Circular Tube	p. 448
Flow of a Bingham Plastic Material between Parallel Plates	p. 450
The Boundary Layer Equations for a Power-law Fluid	p. 453
References	p. 454
Problems	p. 455
Appendixes	p. 459
Index	p. 477
Table of Contents provided by Syndetics. All Rights Reserved.

Fluid Mechanics

At a Glance

Paperback

Industry Reviews

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