Fluid Mechanics

Preface to the Third Edition
Preface to the Second English Edition
Preface to the First English Edition
Contents
1 The Concept of the Continuum and Kinematics
	1.1 Properties of Fluids, Continuum Hypothesis
	1.2 Kinematics
		1.2.1 Material and Spatial Descriptions
		1.2.2 Pathlines, Streamlines, Streaklines
		1.2.3 Differentiation with Respect to Time
		1.2.4 State of Motion, Rate of Change of Line, Surface and Volume Elements
		1.2.5 Rate of Change of Material Integrals
2 Fundamental Laws of Continuum Mechanics
	2.1 Conservation of Mass, Equation of Continuity
	2.2 Balance of Momentum
	2.3 Balance of Angular Momentum
	2.4 Momentum and Angular Momentum in an Accelerating Frame
	2.5 Applications to Turbomachines
	2.6 Balance of Energy
	2.7 Balance of Entropy
	2.8 Thermodynamic Equations of State
3 Constitutive Relations for Fluids
4 Equations of Motion for Particular Fluids
	4.1 Newtonian Fluids
		4.1.1 The Navier-Stokes Equations
		4.1.2 Vorticity Equation
		4.1.3 Effect of Reynolds’ Number
	4.2 Inviscid Fluids
		4.2.1 Euler’s Equations
		4.2.2 Bernoulli’s Equation
		4.2.3 Vortex Theorems
		4.2.4 Integration of the Energy Equation
	4.3 Initial and Boundary Conditions
	4.4 Simplification of the Equations of Motion
5 Hydrostatics
	5.1 Hydrostatic Pressure Distribution
	5.2 Hydrostatic Lift, Force on Walls
	5.3 Free Surfaces
6 Laminar Unidirectional Flows
	6.1 Steady Unidirectional Flow
		6.1.1 Couette Flow
		6.1.2 Couette-Poiseuille Flow
		6.1.3 Flow Down an Inclined Plane
		6.1.4 Flow Between Rotating Concentric Cylinders
		6.1.5 Hagen-Poiseuille Flow
		6.1.6 Flow Through Noncircular Conduits
	6.2 Unsteady Unidirectional Flows
		6.2.1 Flow Due to a Wall Which Oscillates in Its Own Plane
		6.2.2 Flow Due to a Wall Which Is Suddenly Set in Motion
	6.3 Unidirectional Flows of Non-Newtonian Fluids
		6.3.1 Steady Flow Through a Circular Pipe
		6.3.2 Steady Flow Between a Rotating Disk and a Fixed Wall
		6.3.3 Unsteady Unidirectional Flows of a Second Order Fluid
	6.4 Unidirectional Flows of a Bingham Material
		6.4.1 Channel Flow of a Bingham Material
		6.4.2 Pipe Flow of a Bingham Material
7 Fundamentals of Turbulent Flow
	7.1 Stability and the Onset of Turbulence
	7.2 Reynolds’ Equations
	7.3 Turbulent Shear Flow Near a Wall
	7.4 Turbulent Flow in Smooth Pipes and Channels
	7.5 Turbulent Flow in Rough Pipes
8 Hydrodynamic Lubrication
	8.1 Reynolds’ Equation of Lubrication Theory
	8.2 Statically Loaded Bearing
		8.2.1 Infinitely Long Journal Bearing
		8.2.2 Infinitely Short Journal Bearing
		8.2.3 Journal Bearing of Finite Length
	8.3 Dynamically Loaded Bearings
		8.3.1 Infinitely Long Journal Bearing
		8.3.2 Dynamically Loaded Slider Bearing
		8.3.3 Squeeze Flow of a Bingham Material
	8.4 Thin-Film Flow on a Semi-Infinite Wall
	8.5 Flow Through Particle Filters
	8.6 Flow Through a Porous Medium
	8.7 Hele-Shaw Flows
9 Stream Filament Theory
	9.1 Incompressible Flow
		9.1.1 Continuity Equation
		9.1.2 Inviscid Flow
		9.1.3 Viscous Flow
		9.1.4 Application to Flows with Variable Cross-Section
		9.1.5 Viscous Jet
	9.2 Steady Compressible Flow
		9.2.1 Flow Through Pipes and Ducts with Varying Cross-Section
		9.2.2 Constant Area Flow
		9.2.3 The Normal Shock Wave Relations
	9.3 Unsteady Compressible Flow
10 Potential Flows
	10.1 One-Dimensional Propagation of Sound
	10.2 Steady Compressible Potential Flow
	10.3 Incompressible Potential Flow
		10.3.1 Simple Examples of Potential Flows
		10.3.2 Virtual Masses
	10.4 Plane Potential Flow
		10.4.1 Examples of Incompressible, Plane Potential Flows
		10.4.2 Complex Potential for Plane Flows
		10.4.3 Blasius’ Theorem
		10.4.4 Kutta-Joukowski Theorem
		10.4.5 Conformal Mapping
		10.4.6 Schwarz-Christoffel Transformation
		10.4.7 Free Jets
		10.4.8 Flow Around Airfoils
		10.4.9 Approximate Solution for Slender Airfoils in Incompressible Flow
		10.4.10 Slender Airfoils in Compressible Flow
11 Supersonic Flow
	11.1 Oblique Shock Wave
	11.2 Detached Shock Wave
	11.3 Reflection of Oblique Shock Waves
	11.4 Supersonic Potential Flow Past Slender Airfoils
	11.5 Prandtl-Meyer Flow
	11.6 Shock Expansion Theory
12 Boundary Layer Theory
	12.1 Solutions of the Boundary Layer Equations
		12.1.1 Flat Plate
		12.1.2 Wedge Flows
		12.1.3 Unsteady Stagnation Point Flow
		12.1.4 Flow Past a Body
	12.2 Temperature Boundary Layer in Forced Convection
	12.3 Temperature Boundary Layer in Natural Convection
	12.4 Integral Methods of Boundary Layer Theory
	12.5 Turbulent Boundary Layers
13 Creeping Flows
	13.1 Plane and Axially-Symmetric Flows
		13.1.1 Examples of Plane Flows
		13.1.2 Plane Creeping Flow Around a Body (Stokes’ Paradox)
		13.1.3 Creeping Flow Around a Sphere
Appendix A Introduction to Cartesian Tensors
A.1 Summation Convention
A.2 Cartesian Tensors
Appendix B Curvilinear Coordinates
B.1 Cartesian Coordinates
B.2 Cylindrical Coordinates
B.3 Spherical Coordinates
Appendix C Tables and Diagrams for Compressible Flow
Appendix D Physical Properties of Air and Water
References
Index