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Fox and McDonald's Introduction to Fluid Mechanics
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CHAPTER 1 INTRODUCTION 1 1.1 Introduction to Fluid Mechanics 2 1.2 Basic Equations 4 1.3 Methods of Analysis 5 1.4 Dimensions and Units 9 1.5 Analysis of Experimental Error 13 1.6 Summary 14 Problems 14 CHAPTER 2 FUNDAMENTAL CONCEPTS 17 2.1 Fluid as a Continuum 18 2.2 Velocity Field 19 2.3 Stress Field 25 2.4 Viscosity 27 2.5 Surface Tension 31 2.6 Description and Classification of Fluid Motions 34 2.7 Summary and Useful Equations 39 References 40 Problems 40 CHAPTER 3 FLUID STATICS 47 3.1 The Basic Equation of Fluid Statics 48 3.2 The Standard Atmosphere 51 3.3 Pressure Variation in a Static Fluid 52 3.4 Hydrostatic Force on Submerged Surfaces 59 3.5 Buoyancy and Stability 69 3.6 Fluids in Rigid-Body Motion (on the Web) 72 3.7 Summary and Useful Equations 72 References 73 Problems 73 CHAPTER 4 BASIC EQUATIONS IN INTEGRAL FORM FOR A CONTROL VOLUME 82 4.1 Basic Laws for a System 84 4.2 Relation of System Derivatives to the Control Volume Formulation 85 4.3 Conservation of Mass 89 4.4 Momentum Equation for Inertial Control Volume 94 4.5 Momentum Equation for Control Volume with Rectilinear Acceleration 111 4.6 Momentum Equation for Control Volume with Arbitrary Acceleration (on the Web) 117 4.7 The Angular-Momentum Principle 117 4.8 The First and Second Laws of Thermodynamics 121 4.9 Summary and Useful Equations 128 Problems 129 CHAPTER 5 INTRODUCTION TO DIFFERENTIAL ANALYSIS OF FLUID MOTION 144 5.1 Conservation of Mass 145 5.2 Stream Function for Two-Dimensional Incompressible Flow 151 5.3 Motion of a Fluid Particle (Kinematics) 153 5.4 Momentum Equation 167 5.5 Introduction to Computational Fluid Dynamics 176 5.6 Summary and Useful Equations 190 References 192 Problems 192 CHAPTER 6 INCOMPRESSIBLE INVISCID FLOW 198 6.1 Momentum Equation for Frictionless Flow: Euler's Equation 199 6.2 Bernoulli Equation: Integration of Euler's Equation Along a Streamline for Steady Flow 202 6.3 The Bernoulli Equation Interpreted as an Energy Equation 213 6.4 Energy Grade Line and Hydraulic Grade Line 217 6.5 Unsteady Bernoulli Equation: Integration of Euler's Equation Along a Streamline (on the Web) 219 6.6 Irrotational Flow 219 6.7 Summary and Useful Equations 234 References 235 Problems 236 CHAPTER 7 DIMENSIONAL ANALYSIS AND SIMILITUDE 244 7.1 Nondimensionalizing the Basic Differential Equations 245 7.2 Nature of Dimensional Analysis 246 7.3 Buckingham Pi Theorem 248 7.4 Significant Dimensionless Groups in Fluid Mechanics 254 7.5 Flow Similarity and Model Studies 256 7.6 Summary and Useful Equations 267 References 268 Problems 268 CHAPTER 8 INTERNAL INCOMPRESSIBLE VISCOUS FLOW 275 8.1 Internal Flow Characteristics 276 PART A. FULLY DEVELOPED LAMINAR FLOW 277 8.2 Fully Developed Laminar Flow Between Infinite Parallel Plates 277 8.3 Fully Developed Laminar Flow in a Pipe 288 PART B. FLOW IN PIPES AND DUCTS 292 8.4 Shear Stress Distribution in Fully Developed Pipe Flow 293 8.5 Turbulent Velocity Profiles in Fully Developed Pipe Flow 294 8.6 Energy Considerations in Pipe Flow 297 8.7 Calculation of Head Loss 299 8.8 Solution of Pipe Flow Problems 309 8.9 Restriction Flow Meters for Internal Flows 326 8.10 Summary and Useful Equations 337 References 340 Problems 341 CHAPTER 9 EXTERNAL INCOMPRESSIBLE VISCOUS FLOW 353 PART A. BOUNDARY LAYERS 355 9.1 The Boundary-Layer Concept 355 9.2 Laminar Flat-Plate Boundary Layer: Exact Solution (on the Web) 359 9.3 Momentum Integral Equation 359 9.4 Use of the Momentum Integral Equation for Flow with Zero Pressure Gradient 363 9.5 Pressure Gradients in Boundary-Layer Flow 371 PART B. FLUID FLOW ABOUT IMMERSED BODIES 374 9.6 Drag 374 9.7 Lift 386 9.8 Summary and Useful Equations 400 References 402 Problems 403 CHAPTER 10 FLUID MACHINERY 412 10.1 Introduction and Classification of Fluid Machines 413 10.2 Turbomachinery Analysis 417 10.3 Pumps, Fans, and Blowers 428 10.4 Positive Displacement Pumps 461 10.5 Hydraulic Turbines 464 10.6 Propellers and Wind-Power Machines 474 10.7 Compressible Flow Turbomachines 490 10.8 Summary and Useful Equations 495 References 497 Problems 499 CHAPTER 11 FLOW IN OPEN CHANNELS 507 11.1 Basic Concepts and Definitions 509 11.2 Energy Equation for Open-Channel Flows 516 11.3 Localized Effect of Area Change (Frictionless Flow) 524 11.4 The Hydraulic Jump 528 11.5 Steady Uniform Flow 534 11.6 Flow with Gradually Varying Depth 544 11.7 Discharge Measurement Using Weirs 548 11.8 Summary and Useful Equations 551 References 552 Problems 553 CHAPTER 12 INTRODUCTION TO COMPRESSIBLE FLOW 556 12.1 Review of Thermodynamics 557 12.2 Propagation of Sound Waves 563 12.3 Reference State: Local Isentropic Stagnation Properties 570 12.4 Critical Conditions 577 12.5 Basic Equations for One-Dimensional Compressible Flow 577 12.6 Isentropic Flow of an Ideal Gas: Area Variation 580 12.7 Normal Shocks 598 12.8 Supersonic Channel Flow with Shocks 605 12.8 Supersonic Channel Flow with Shocks (continued, on the Web) 607 12.9 Flow in a Constant-Area Duct with Friction (on the Web) 607 12.10 Frictionless Flow in a Constant-Area Duct with Heat Exchange (on the Web) 607 12.11 Oblique Shocks and Expansion Waves (on the Web) 607 12.12 Summary and Useful Equations 607 References 610 Problems 610 APPENDIX A FLUID PROPERTY DATA A-1 APPENDIX B VIDEOS FOR FLUID MECHANICS B-1 APPENDIX C SELECTED PERFORMANCE CURVES FOR PUMPS AND FANS C-1 APPENDIX D FLOW FUNCTIONS FOR COMPUTATION OF COMPRESSIBLE FLOW D-1 APPENDIX E ANALYSIS OF EXPERIMENTAL UNCERTAINTY E-1 APPENDIX F ADDITIONAL COMPRESSIBLE FLOW FUNCTIONS (ONLINE) WF-1 APPENDIX G A BRIEF REVIEW OF MICROSOFT EXCEL (ONLINE) WG-1 Answers to Selected Problems 615 Index 623

About the Author

Philip J. Pritchard and John W. Mitchell are the authors of Fox and McDonald's Introduction to Fluid Mechanics, 9th Edition, published by Wiley.

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