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| Preface | |
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| Introduction | |
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| The Field of Fluid Mechanics | |
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| The Continuum | |
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| Local Properties in a Continuum | |
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| Body and Surface Forces | |
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| Stress at a Point | |
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| Definition of a Fluid | |
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| Units and Dimensions | |
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| Dimensional Homogeneity | |
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| Fluid Properties | |
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| Problems | |
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| Stress in a Fluid | |
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| The Momentum Equations | |
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| Index Notation | |
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| Moments on a Cube | |
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| Forces at a Point on a Plane | |
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| The Elementary Tetrahedron | |
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| Stress in a Fluid at Rest | |
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| Stress in a Moving Fluid | |
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| A Case where the Stress Is Not Constant | |
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| The Stress Tensor | |
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| Transformation of Coordinates--Vectors | |
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| Transformation of Coordinates--Tensors | |
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| Principal Directions | |
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| Identical Principal Stresses--Pascal's Law | |
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| References | |
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| Problems | |
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| Fluid Statics | |
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| The Equation of Hydrostatics | |
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| Manometers | |
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| Equation of Hydrostatics in Accelerating Frames of Reference | |
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| Forces Acting on Submerged Surfaces | |
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| Force on a Submerged Plane Surface | |
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| Forces on Submerged Surfaces--The General Case | |
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| Hydrostatic Stability | |
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| Problems | |
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| Fluids in Motion--Integral Analysis | |
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| Thermodynamic Systems and Control Volumes | |
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| Reynolds Transport Theorem | |
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| Control Volume Analysis of Conservation of Mass | |
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| Conservation of Mass under Steady State Conditions | |
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| The Momentum Theorem for a Control Volume | |
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| Other Forces on the Control Volume | |
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| Angular Momentum Theorem for a Control Volume | |
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| Correction Factor for Average Velocity in Momentum Theorem | |
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| Problems | |
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| Fluids in Motion--Differential Analysis | |
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| Differential Representation | |
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| Streamlines, Stream Sheets and Stream Tubes | |
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| The Material Derivative | |
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| Conservation of Mass--The Equation of Continuity | |
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| Newton's Second Law of Motion | |
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| Newton's Law of Viscosity | |
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| Analysis of Deformation | |
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| Newtonian Fluids | |
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| The Navier--Stokes Equations | |
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| The Euler Equations | |
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| Solutions for Two-dimensional Flows--The Stream Function | |
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| The Pressure in the Momentum Equations | |
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| Problems | |
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| Exact Solutions of the Navier-Stokes Equations | |
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| Flows between Parallel Plates | |
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| Time-independent Flows | |
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| Time-dependent Flow--The Rayleigh Problem | |
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| Steady Flow in a Round Tube | |
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| Flow in an Axisymmetric Annulus | |
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| Flow between Rotating Concentric Cylinders | |
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| References | |
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| Problems | |
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| Energy Equations | |
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| Bernoulli's Equation | |
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| Static, Dynamic and Total Pressures | |
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| Extension to Compressible Flows | |
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| Modifications of the Bernoulli Equation for Conduit Flow | |
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| Low Pressures Predicted by Bernoulli's Equation | |
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| References | |
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| Problems | |
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| Similitude and Order of Magnitude | |
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| Dimensionless Equations | |
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| Similitude | |
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| Hidden Characteristic Quantities | |
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| Order of Magnitude | |
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| Estimates fo the Characteristic Quantities | |
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| The Concept of Perturbations | |
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| Singular Perturbations | |
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| The Boundary Layer Equations | |
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| Buckingham's [pi] Theorem | |
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| References | |
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| Problems | |
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| Flows with Negligible Acceleration | |
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| Flow in Narrow Gaps | |
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| Reynolds Lubrication Theory | |
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| Creeping Flows | |
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| Two-dimensional Flows | |
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| Axisymmetric Flows | |
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| Stokes Flow around a Sphere | |
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| Stokes Flow around a Cylinder | |
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| References | |
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| Problems | |
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| High Reynolds Number Flows--Regions Far from Solid Boundaries | |
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| Negligible Shear--The Euler Equations | |
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| Irrotational Motion | |
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| Potential Flow | |
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| References | |
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| Problems | |
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| High Reynolds Number Flows--The Boundary Layer | |
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| Flow over a Flat Plate--The Blasius Solution | |
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| Von Karman--Pohlhausen Integral Method | |
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| The Two-dimensional Laminar Jet | |
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| References | |
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| Problems | |
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| Turbulent Flow | |
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| Reynolds Experiment | |
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| The Nature of Turbulence | |
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| The Equations of Motion in Turbulent Flow | |
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| Prandtl Mixing Length, Generalized Profiles | |
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| The Moody Diagram | |
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| Flow in Pipes | |
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| Flow through Pipe Fittings | |
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| Noncircular Pipes | |
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| Coefficient of Drag | |
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| Flow-induced Lift Forces | |
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| Flowrate Measurement | |
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| Turbulent Boundary Layers | |
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| Integral Solutions for Boundary Layers | |
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| References | |
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| Problems | |
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| Compressible Flow | |
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| Speed of Infinitesimal Disturbances--Sonic Speed | |
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| Propagation of Finite Disturbances | |
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| The Piston Analogy | |
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| Quasi-one-dimensional Flow, Stagnation Properties | |
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| Nozzle Flow | |
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| Mass Flux through the Nozzle | |
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| The Design and Performance of a Nozzle | |
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| Tables of One-dimensional Compressible Flow | |
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| Nonisentropic One-dimensional Flows | |
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| Pipe Flow with Friction | |
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| Frictionless Pipe Flow with Heat Transfer | |
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| Shock Wave Relations | |
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| Oblique Shocks and Prandtl--Mayer Expansion | |
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| Lift and Drag | |
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| References | |
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| Problems | |
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| Non-Newtonian Fluids | |
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| Flow of a Power-law Fluid in a Circular Tube | |
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| Flow of a Bingham Plastic Material between Parallel Plates | |
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| The Boundary Layer Equations for a Power-law Fluid | |
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| References | |
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| Problems | |
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| Appendixes | |
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| Index | |