| The Concept of the Continuum and Kinematics | p. 1 |
| Properties of Fluids, Continuum Hypothesis | p. 1 |
| Kinematics | p. 7 |
| Material and Spatial Descriptions | p. 7 |
| Pathlines, Streamlines, Streaklines | p. 10 |
| Differentiation with Respect to Time | p. 14 |
| State of Motion, Rate of Change of Line, Surface and Volume Elements | p. 17 |
| Rate of Change of Material Integrals | p. 29 |
| Fundamental Laws of Continuum Mechanics | p. 35 |
| Conservation of Mass, Equation of Continuity | p. 35 |
| Balance of Momentum | p. 37 |
| Balance of Angular Momentum | p. 44 |
| Momentum and Angular Momentum in an Accelerating Frame | p. 46 |
| Applications to Turbomachines | p. 54 |
| Balance of Energy | p. 65 |
| Balance of Entropy | p. 69 |
| Thermodynamic Equations of State | p. 71 |
| Constitutive Relations for Fluids | p. 75 |
| Equations of Motion for Particular Fluids | p. 95 |
| Newtonian Fluids | p. 95 |
| The Navier-Stokes Equations | p. 95 |
| Vorticity Equation | p. 98 |
| Effect of Reynolds' Number | p. 100 |
| Inviscid Fluids | p. 106 |
| Euler's Equations | p. 106 |
| Bernoulli's Equation | p. 107 |
| Vortex Theorems | p. 112 |
| Integration of the Energy Equation | p. 138 |
| Initial and Boundary Conditions | p. 141 |
| Simplification of the Equations of Motion | p. 145 |
| Hydrostatics | p. 151 |
| Hydrostatic Pressure Distribution | p. 151 |
| Hydrostatic Lift, Force on Walls | p. 156 |
| Free Surfaces | p. 162 |
| Laminar Unidirectional Flows | p. 167 |
| Steady Unidirectional Flow | p. 168 |
| Couette Flow | p. 168 |
| Couette-Poiseuille Flow | p. 169 |
| Flow Down an Inclined Plane | p. 171 |
| Flow Between Rotating Concentric Cylinders | p. 174 |
| Hagen-Poiseuille Flow | p. 175 |
| Flow Through Noncircular Conduits | p. 180 |
| Unsteady Unidirectional Flows | p. 183 |
| Flow Due to a Wall Which Oscillates in its Own Plane | p. 183 |
| Flow Due to a Wall Which is Suddenly Set in Motion | p. 186 |
| Unidirectional Flows of Non-Newtonian Fluids | p. 188 |
| Steady Flow Through a Circular Pipe | p. 188 |
| Steady Flow Between a Rotating Disk and a Fixed Wall | p. 190 |
| Unsteady Unidirectional Flows of a Second Order Fluid | p. 191 |
| Unidirectional Flows of a Bingham Material | p. 197 |
| Channel Flow of a Bingham Material | p. 197 |
| Pipe Flow of a Bingham Material | p. 202 |
| Fundamentals of Turbulent Flow | p. 205 |
| Stability and the Onset of Turbulence | p. 205 |
| Reynolds' Equations | p. 207 |
| Turbulent Shear Flow Near a Wall | p. 213 |
| Turbulent Flow in Smooth Pipes and Channels | p. 223 |
| Turbulent Flow in Rough Pipes | p. 226 |
| Hydrodynamic Lubrication | p. 229 |
| Reynolds' Equation of Lubrication Theory | p. 229 |
| Statically Loaded Bearing | p. 232 |
| Infinitely Long Journal Bearing | p. 232 |
| Infinitely Short Journal Bearing | p. 238 |
| Journal Bearing of Finite Length | p. 239 |
| Dynamically Loaded Bearings | p. 240 |
| Infinitely Long Journal Bearing | p. 240 |
| Dynamically Loaded Slider Bearing | p. 241 |
| Squeeze Flow of a Bingham Material | p. 246 |
| Thin-Film Flow on a Semi-Infinite Wall | p. 249 |
| Flow Through Particle Filters | p. 252 |
| Flow Through a Porous Medium | p. 254 |
| Hele-Shaw Flows | p. 258 |
| Stream Filament Theory | p. 261 |
| Incompressible Flow | p. 261 |
| Continuity Equation | p. 262 |
| Inviscid Flow | p. 263 |
| Viscous Flow | p. 266 |
| Application to Flows with Variable Cross-Section | p. 271 |
| Viscous Jet | p. 276 |
| Steady Compressible Flow | p. 279 |
| Flow Through Pipes and Ducts with Varying Cross-Section | p. 279 |
| Constant Area Flow | p. 290 |
| The Normal Shock Wave Relations | p. 294 |
| Unsteady Compressible Flow | p. 299 |
| Potential Flows | p. 315 |
| One-Dimensional Propagation of Sound | p. 316 |
| Steady Compressible Potential Flow | p. 323 |
| Incompressible Potential Flow | p. 324 |
| Simple Examples of Potential Flows | p. 326 |
| Virtual Masses | p. 348 |
| Plane Potential Flow | p. 354 |
| Examples of Incompressible, Plane Potential Flows | p. 354 |
| Complex Potential for Plane Flows | p. 358 |
| Blasius' Theorem | p. 367 |
| Kutta-Joukowski Theorem | p. 370 |
| Conformal Mapping | p. 372 |
| Schwarz-Christoffel Transformation | p. 374 |
| Free Jets | p. 376 |
| Flow Around Airfoils | p. 382 |
| Approximate Solution for Slender Airfoils in Incompressible Flow | p. 388 |
| Slender Airfoils in Compressible Flow | p. 395 |
| Supersonic Flow | p. 399 |
| Oblique Shock Wave | p. 400 |
| Detached Shock Wave | p. 402 |
| Reflection of Oblique Shock Waves | p. 403 |
| Supersonic Potential Flow Past Slender Airfoils | p. 405 |
| Prandtl-Meyer Flow | p. 408 |
| Shock Expansion Theory | p. 414 |
| Boundary Layer Theory | p. 417 |
| Solutions of the Boundary Layer Equations | p. 421 |
| Flat Plate | p. 422 |
| Wedge Flows | p. 426 |
| Unsteady Stagnation Point Flow | p. 428 |
| Flow Past a Body | p. 429 |
| Temperature Boundary Layer in Forced Convection | p. 431 |
| Temperature Boundary Layer in Natural Convection | p. 437 |
| Integral Methods of Boundary Layer Theory | p. 440 |
| Turbulent Boundary Layers | p. 443 |
| Creeping Flows | p. 451 |
| Plane and Axially-Symmetric Flows | p. 451 |
| Examples of Plane Flows | p. 453 |
| Plane Creeping Flow Round a Body (Stokes's Paradox) | p. 465 |
| Creeping Flow Round a Sphere | p. 46 |
| Introduction to Cartesian Tensors | p. 471 |
| Summation Convention | p. 471 |
| Cartesian Tensors | p. 472 |
| Curvilinear Coordinates | p. 481 |
| Cartesian Coordinates | p. 488 |
| Cylindrical Coordinates | p. 490 |
| Spherical Coordinates | p. 493 |
| Tables and Diagrams for Compressible Flow | p. 497 |
| Physical Properties of Air and Water | p. 515 |
| References | p. 519 |
| Index | p. 521 |
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