Preface |
Preface to the Second Edition |
Preface to the First Edition |
Continuum Mechanics / 1: |
Continuum Assumption / 1.1: |
Fundamental Concepts, Definitions, and Laws / 1.2: |
Space and Time / 1.3: |
Density, Velocity, and Internal Energy / 1.4: |
Interface between Phases / 1.5: |
Conclusions / 1.6: |
Problems |
Thermodynamics / 2: |
Systems, Properties, and Processes / 2.1: |
Independent Variables / 2.2: |
Temperature and Entropy / 2.3: |
Fundamental Equations of Thermodynamics / 2.4: |
Euler's Equation for Homogeneous Functions / 2.5: |
Gibbs-Duhem Equation / 2.6: |
Intensive Forms of Basic Equations / 2.7: |
Dimensions of Temperature and Entropy / 2.8: |
Working Equations / 2.9: |
Ideal Gas / 2.10: |
Incompressible Substance / 2.11: |
Vector Calculus and Index Notation / 2.12: |
Index National Rules / 3.1: |
Definition of Vectors and Tensors / 3.2: |
Special Symbols and Isotropic Tensors / 3.3: |
Direction Cosines and the Law of Cosines / 3.4: |
Algebra with Vectors / 3.5: |
Symmetric and Antisymmetric Tensors / 3.6: |
Algebra with Tensors / 3.7: |
Vector Cross-Product / 3.8: |
Alternative Definitions of Vectors and Tensors / 3.9: |
Principal Axes and Values / 3.10: |
Derivative Operations on Vector Fields / 3.11: |
Integral Formulas of Gauss and Stokes / 3.12: |
Leibnitz's Theorem / 3.13: |
Kinematics of Local Fluid Motion / 3.14: |
Lagrangian Viewpoint / 4.1: |
Eulerian Viewpoint / 4.2: |
Substantial Derivative / 4.3: |
Decomposition of Motion / 4.4: |
Elementary Motions in a Linear Shear Flow / 4.5: |
Proof of Vorticity Characteristics / 4.6: |
Rate-of-Strain Characteristics / 4.7: |
Rate of Expansion / 4.8: |
Streamline Coordinates / 4.9: |
Basic Laws / 4.10: |
Continuity Equation / 5.1: |
Momentum Equation / 5.2: |
Surface Forces / 5.3: |
Stress Tensor Derivation / 5.4: |
Interpretation of the Stress Tensor Components / 5.5: |
Pressure and Viscous Stress Tensor / 5.6: |
Differential Momentum Equation / 5.7: |
Moment of Momentum, Angular Momentum, and Symmetry of T[subscript ij] / 5.8: |
Energy Equation / 5.9: |
Mechanical and Thermal Energy Equations / 5.10: |
Energy Equation with Temperature as the Dependent Variable / 5.11: |
Second Law of Thermodynamics / 5.12: |
Integral Form of the Continuity Equation / 5.13: |
Integral Form of the Momentum Equation / 5.14: |
Momentum Equation for a Deformable Particle of Variable Mass / 5.15: |
Energy Equation in Integral Form / 5.16: |
Jump Equations at Interfaces / 5.17: |
Newtonian Fluids and the Navier-Stokes Equations / 5.18: |
Newton's Viscosity Law / 6.1: |
Molecular Model of Viscous Effects / 6.2: |
Non-Newtonian Liquids / 6.3: |
No-Slip Condition / 6.4: |
Fourier's Heat Conduction Law / 6.5: |
Navier-Stokes Equations / 6.6: |
Some Incompressible Flow Patterns / 6.7: |
Pressure-Driven Flow in a Slot / 7.1: |
Mechanical Energy, Head Loss, and Bernoulli Equations / 7.2: |
Plane Couette Flow / 7.3: |
Pressure-Driven Flow in a Slot with a Moving Wall / 7.4: |
Double Falling Film on a Wall / 7.5: |
Outer Solution for Rotary Viscous Coupling / 7.6: |
Rayleigh Problem / 7.7: |
Dimensional Analysis / 7.8: |
Measurement and Dimensions / 8.1: |
Variables and Functions / 8.2: |
Pi Theorem and Its Application / 8.3: |
Pump or Blower Analysis: Use of Extra Assumptions / 8.4: |
Number of Primary Dimensions / 8.5: |
Proof of Bridgman's Equation / 8.6: |
Proof of the Pi Theorem / 8.7: |
Dynamic Similarity / 8.8: |
Similarity with Geometric Distortion / 8.9: |
Nondimensional Formulation of Physical Problems / 8.10: |
Compressible Flow / 8.11: |
Compressible Couette Flow: Adiabatic Wall / 9.1: |
Flow with Power Law Transport Properties / 9.2: |
Inviscid Compressible Waves: Speed of Sound / 9.3: |
Incompressible Flow / 9.4: |
Characterization / 10.1: |
Incompressible Flow as Low-Mach-Number Flow with Adiabatic Walls / 10.2: |
Nondimensional Problem Statement / 10.3: |
Characteristics of Incompressible Flow / 10.4: |
Splitting the Pressure into Kinetic and Hydrostatic Parts / 10.5: |
Mathematical Aspects of the Limit Process M[superscript 2] to 0 / 10.6: |
Invariance of Incompressible Flow Equations under Unsteady Motion / 10.7: |
Low-Mach-Number Flows with Constant-Temperature Walls / 10.8: |
Energy Equation Paradox / 10.9: |
Some Solutions of the Navier-Stokes Equations / 10.10: |
Pressure-Driven Flow in Tubes of Various Cross Sections: Elliptical Tube / 11.1: |
Flow in a Rectangular Tube / 11.2: |
Channel with Longitudinal Ribs / 11.3: |
Stokes's Oscillating Plate / 11.4: |
Wall under an Oscillating Free Stream / 11.5: |
Transient for a Stokes Oscillating Plate / 11.6: |
Flow in a Slot with a Steady and Oscillating Pressure Gradient / 11.7: |
Decay of an Ideal Line Vortex (Oseen Vortex) / 11.8: |
Plane Stagnation-Point Flow (Hiemenz Flow) / 11.9: |
Burgers Vortex / 11.10: |
Complete Solution for Rotary Coupling / 11.11: |
Von Karman Viscous Pump / 11.12: |
Streamfunctions and the Velocity Potential / 11.13: |
Streamlines / 12.1: |
Streamfunction for Plane Flows / 12.2: |
Flow in a Slot with Porous Walls / 12.3: |
Streamlines and Streamsurfaces for a Three-Dimensional Flow / 12.4: |
Vector Potential and the E[superscript 2] Operator / 12.5: |
Velocity Potential and the Unsteady Bernoulli Equation / 12.6: |
Flow Caused by a Sphere with Variable Radius / 12.7: |
Vorticity Dynamics / 12.8: |
Vorticity / 13.1: |
Kinematic Results Concerning Vorticity / 13.2: |
Vorticity Equation / 13.3: |
Vorticity Diffusion / 13.4: |
Vorticity Intensification by Straining Vortex Lines / 13.5: |
Hill's Spherical Vortex / 13.6: |
Production of Vorticity at a Stationary Wall / 13.7: |
Production of Vorticity at a Translating Wall / 13.8: |
Helmholtz's Laws for Inviscid Flow / 13.9: |
Kelvin's Theorem / 13.10: |
Inviscid Motion of Point Vortices / 13.11: |
Reconnection of Vortex Lines / 13.12: |
Development of Typical Vorticity Distributions / 13.13: |
Vortex Breakdown / 13.14: |
Flows at Moderate Reynolds Numbers / 13.15: |
Some Unusual Flow Patterns / 14.1: |
Entrance Flows / 14.2: |
Entrance Flow into a Cascade of Plates: Computer Solution by the Streamfunction-Vorticity Method / 14.3: |
Entrance Flow into a Cascade of Plates: Pressure Solution / 14.4: |
Entrance Flow into a Cascade of Plates: Results / 14.5: |
Flow around a Circular Cylinder / 14.6: |
Jeffrey-Hamel Flow in a Wedge / 14.7: |
Limiting Cases for Re to 0 and Re to -[infinity] / 14.8: |
Asymptotic Analysis Methods / 14.9: |
Oscillation of a Gas Bubble in a Liquid / 15.1: |
Order Symbols, Gauge Functions, and Asymptotic Expansions / 15.2: |
Inviscid Flow over a Wavy Wall / 15.3: |
Nonuniform Expansions: Friedrich's Problem / 15.4: |
Matching Process: Van Dyke's Rule / 15.5: |
Composite Expansions / 15.6: |
Characteristics of Overlap Regions / 15.7: |
Lagerstrom's Problems / 15.8: |
Characteristics of High-Reynolds-Number Flows / 15.9: |
Physical Motivation / 16.1: |
Inviscid Main Flows: Euler Equations / 16.2: |
Pressure Changes in Steady Flows: Bernoulli Equations / 16.3: |
Boundary Layers / 16.4: |
Kinematic Decomposition of Flow Fields / 16.5: |
General Approach / 17.1: |
Helmholtz's Decomposition / 17.2: |
Line Vortex and Vortex Sheet / 17.3: |
Complex Lamellar Decomposition / 17.4: |
Ideal Flows in a Plane / 17.5: |
Problem Formulation for Plane Ideal Flows / 18.1: |
Simple Plane Flows / 18.2: |
Line Source and Line Vortex / 18.3: |
Flow over a Nose or a Cliff / 18.4: |
Doublets / 18.5: |
Cylinder in a Stream / 18.6: |
Cylinder with Circulation in a Uniform Stream / 18.7: |
Lift and Drag on Two-Dimensional Shapes / 18.8: |
Magnus Effect / 18.9: |
Conformal Transformations / 18.10: |
Joukowski Transformation: Airfoil Geometry / 18.11: |
Kutta Condition / 18.12: |
Flow over a Joukowski Airfoil: Airfoil Lift / 18.13: |
Numerical Method for Airfoils / 18.14: |
Actual Airfoils / 18.15: |
Schwarz-Christoffel Transformation / 18.16: |
Diffuser or Contraction Flow / 18.17: |
Gravity Waves in Liquids / 18.18: |
Axisymmetric and Three-Dimensional Ideal Flows / 18.19: |
General Equations and Characteristics of Three-Dimensional Ideal Flows / 19.1: |
Swirling Flow Turned into an Annulus / 19.2: |
Flow over a Weir / 19.3: |
Point Source / 19.4: |
Rankine Nose Shape / 19.5: |
Experiments on the Nose Drag of Slender Shapes / 19.6: |
Flow from a Doublet / 19.7: |
Flow over a Sphere / 19.8: |
Kinetic Energy / 19.9: |
Wake Drag of Bodies / 19.10: |
Induced Drag: Drag due to Lift / 19.11: |
Lifting Line Theory / 19.12: |
Added Mass of Accelerating Bodies / 19.13: |
Blasius Flow over a Flat Plate / 19.14: |
Displacement Thickness / 20.2: |
Von Karman Momentum Integral / 20.3: |
Von Karman-Pohlhausen Approximate Method / 20.4: |
Falkner-Skan Similarity Solutions / 20.5: |
Arbitrary Two-Dimensional Layers: Crank-Nicolson Difference Method / 20.6: |
Vertical Velocity / 20.7: |
Joukowski Airfoil Boundary Layer / 20.8: |
Boundary Layer on a Bridge Piling / 20.9: |
Boundary Layers Beginning at Infinity / 20.10: |
Plane Boundary Layer Separation / 20.11: |
Axisymmetric Boundary Layers / 20.12: |
Jets / 20.13: |
Far Wake of Nonlifting Bodies / 20.14: |
Free Shear Layers / 20.15: |
Unsteady and Erupting Boundary Layers / 20.16: |
Entrance Flow into a Cascade / 20.17: |
Three-Dimensional Boundary Layers / 20.18: |
Boundary Layer with a Constant Transverse Pressure Gradient / 20.19: |
Howarth's Stagnation Point / 20.20: |
Three-Dimensional Separation / 20.21: |
Flows at Low Reynolds Numbers / 20.22: |
General Relations for Re to 0: Stokes's Equations / 21.1: |
Global Equations for Stokes Flow / 21.2: |
Streamfunction for Plane and Axisymmetric Flows / 21.3: |
Internal Flows: Plane / 21.4: |
Internal Flows: Three-Dimensional and Axisymmetric / 21.5: |
Local Flows: Plane (Moffatt Vortices) / 21.6: |
Local Flows: Axisymmetric / 21.7: |
External Flow: Sphere in a Uniform Stream / 21.8: |
Composite Expansion for Flow over a Sphere / 21.9: |
Stokes Flow near a Circular Cylinder / 21.10: |
Axisymmetric Particles / 21.11: |
Oseen's Equations / 21.12: |
Interference Effects / 21.13: |
Lubrication Approximation / 21.14: |
Basic Characteristics: Channel Flow / 22.1: |
Flow in a Channel with a Porous Wall / 22.2: |
Reynolds Equation for Bearing Theory / 22.3: |
Slipper Pad Bearing / 22.4: |
Squeeze-Film Lubrication: Viscous Adhesion / 22.5: |
Journal Bearing / 22.6: |
Surface Tension Effects / 22.7: |
Interface Concepts and Laws / 23.1: |
Statics: Plane Interfaces / 23.2: |
Statics: Cylindrical Interfaces / 23.3: |
Statics: Attached Bubbles and Drops / 23.4: |
Constant-Tension Flows: Bubble in Infinite Stream / 23.5: |
Constant-Tension Flows: Capillary Waves / 23.6: |
Moving Contact Lines / 23.7: |
Constant-Tension Flows: Coating Flows / 23.8: |
Marangoni Flow / 23.9: |
Introduction to Microflows / 23.10: |
Molecules / 24.1: |
Continuum Description / 24.2: |
Compressible Flows in Long Channels / 24.3: |
Simple Solutions with Slip / 24.4: |
Gases / 24.5: |
Couette Flow in Gases / 24.6: |
Poiseuille Flow in Gases / 24.7: |
Gas Flow over a Sphere / 24.8: |
Liquid Flows in Tubes and Channels / 24.9: |
Liquid Flows near Walls / 24.10: |
Introduction to Stability and Transition / 24.11: |
Linear Stability and Normal Modes as Perturbations / 25.1: |
Kelvin-Helmholtz Inviscid Shear Layer Instability / 25.2: |
Stability Problem for Nearly Parallel Viscous Flows / 25.3: |
Orr-Sommerfeld Equation / 25.4: |
Inviscid Stability of Nearly Parallel Flows / 25.5: |
Viscous Stability of Nearly Parallel Flows / 25.6: |
Experiments on Blasius Boundary Layers / 25.7: |
Transition, Secondary Instability, and Bypass / 25.8: |
Spatially Developing Open Flows / 25.9: |
Transition in Free Shear Flows / 25.10: |
Poiseuille and Plane Couette Flows / 25.11: |
Inviscid Instability of Flows with Curved Streamlines / 25.12: |
Taylor Instability of Couette Flow / 25.13: |
Stability of Regions of Concentrated Vorticity / 25.14: |
Other Instabilities: Taylor, Curved Pipe, Capillary Jets, and Gortler / 25.15: |
Introduction to Turbulent Flows / 25.16: |
Types of Turbulent Flows / 26.1: |
Characteristics of Turbulent Flows / 26.2: |
Reynolds Decomposition / 26.3: |
Reynolds Stress / 26.4: |
Free Turbulence: Plane Shear Layers / 26.5: |
Free Turbulence: Turbulent Jet / 26.6: |
Bifurcating and Blooming Jets / 26.7: |
Correlations of Fluctuations / 26.8: |
Mean and Turbulent Kinetic Energy / 26.9: |
Energy Cascade: Kolmogorov Scales and Taylor Microscale / 26.10: |
Wall Turbulence: Channel Flow Analysis / 26.11: |
Wall Layers: Experiments and Empirical Correlation / 26.12: |
Turbulent Structures / 26.13: |
Properties of Fluids / 26.14: |
Differential Operations in Cylindrical and Spherical Coordinates / B: |
Basic Equations in Rectangular, Cylindrical, and Spherical Coordinates / C: |
Streamfunction Relations in Rectangular, Cylindrical, and Spherical Coordinates / D: |
Computer Code for Entrance Flow into a Cascade / E: |
Computer Code for Boundary Layer Analysis / F: |