Boundary Layer Theory (8th Revised and Enlarged Edition)

Introduction
Part Ⅰ.Fundamentals of Viscous Flows
1.Some Features of Viscous Flows
1.1 Real and Ideal Fluids
1.2 Viscosity
1.3 Reynolds Number
1.4 Laminar and Turbulent Flows
1.5 Asymptotic Behaviour at Large Reynolds Numbers
1.6 Comparison of Measurements Using the Inviscid Limiting Solution
1.7 Summary
2.Fundamentals of Boundary—Layer Theory
2.1 Boundary—Layer Concept
2.2 Laminar Boundary Layer on a Flat Plate at Zero Incidence
2.3 Turbulent Boundary Layer on a Flat Plate at Zero Incidence
2.4 Fully Developed Turbulent Flow in a Pipe
2.5 Boundary Layer on an Airfoil
2.6 Separation of the Boundary Layer
2.7 Overview of the Following Material
3.Field Equations for Flows of Newtonian Fluids
3.1 Description of Flow Fields
3.2 Contim.uty Equation
3.3 Momentum Equation
3.4 General Stress State of Deformable Bodies
3.5 General State of Deformation of Flowing Fluids
3.6 Relation Between Stresses and Rate of Deformation
3.7 Stokes Hypothesis
3.8 Bulk Viscosity and Thermodynamic Pressure
3.9 Navier—Stokes Equations
3.10 Energy Equation
3.11 Equations of Motion for Arbitrary Coordinate Systems （Summary）
3.12 Equations of Motion for Cartesian Coordinates in Index Notation
3.13 Equations of Motion in Different Coordinate Systems
4.General Properties of the Equations of Motion
4.1 Similarity Laws
4.2 Similarity Laws for Flow with Buoyancy Forces （Mixed Forced and Natural Convection）
4.3 Similarity Laws for Natural Convection
4.4 Vorticity Transport Equation
4.5 Limit of Very Small Reynolds Numbers
4.6 Limit of Very Large Reynolds Numbers
4.7 Mathematical Example of the Limit Re→∞
4.8 Non—Uniqueness of Solutions of the Navier—Stokes Equations
5.Exact Solutions of the Navier—Stokes Equations
5.1 Steady Plane Flows
5.1.1 Couette—Poiseuille Flows
5.1.2 Jeffery—Hamel Flows （Fully Developed Nozzle and Diffuser Flows）
5.1.3 Plane Stagnation—Point Flow
5.1.4 Flow Past a Parabolic Body
5.1.5 Flow Past a Circular Cylinder
5.2 Steady Axisymmetric Flows
5.2.1 Circular Pipe Flow （Hagen—Poiseuille Flow）
5.2.2 Flow Between Two Concentric Rotating Cylinders
5.2.3 Axisymmetric Stagnation—Point Flow
5.2.4 Flow at a Rotating Disk
5.2.5 Axisymmetric Free Jet
5.3 Unsteady Plane Flows
5.3.1 Flow at a Wall Suddenly Set into Motion （First Stokes Problem）
5.3.2 Flow at an Oscillating Wall （Second Stokes Problem）
5.3.3 Start—up of Couette Flow
5.3.4 Unsteady Asymptotic Suction
5.3.5 Unsteady Plane Stagnation—Point Flow
5.3.6 Oscillating Channel Flow
5.4 Unsteady Axisymmetric Flows
5.4.1 Vortex Decay
5.4.2 Unsteady Pipe Flow
5.5 Summary
Part Ⅱ.Laminar Boundary Layers
6.Boundary—Layer Equations in Plane Flow； Plate Boundary Layer
6.1 Setting up the Boundary—Layer Equations
6.2 Wall Friction， Separation and Displacement
6.3 Dimensional Representation of the Boundary—Layer Equations
6.4 Friction Drag
6.5 Plate Boundary Layer
7.General Properties and Exact Solutions of the Boundary—Layer Equations for Plane Flows
7.1 Compatibility Condition at the Wall
7.2 Similar Solutions of the Boundary—Layer Equations
7.2.1 Derivation of the Ordinary Differential Equation
A Boundary Layers with Outer Flow
B Boundary Layers Without Outer Flow
7.2.2 Wedge Flows
7.2.3 Flow in a Convergent Channel
7.2.4 Mixing Layer
7.2.5 Moving Plate
7.2.6 Free Jet
7.2.7 Wall Jet
7.3 Coordinate Transformation
7.3.1 Gortler Transformation
7.3.2 v.Mises Transformation
7.3.3 Crocco Transformation
7.4 Series Expansion of the Solutions
7.4.1 Blasius Series
7.4.2 Gortler Series
7.5 Asymptotic Behaviour of Solutions Downstream
7.5.1 Wake Belund Bodies
7.5.2 Boundary Layer at a Moving Wall
7.6 Integral Relations of the Boundary Layer
7.6.1 Momentum—Integral Equation
7.6.2 Energy—Integral Equation
7.6.3 Moment—of—Momentum Integral Equations
8.Approximate Methods for Solving the Boundary—Layer Equations for Steady Plane Flows
8.1 Integral Methods
8.2 Stratford's Separation Criterion
8.3 Comparison of the Approximate Solutions with Exact Solutions
8.3.1 Retarded Stagnation—Point Flow
8.3.2 Divergent Channel （Diffuser）
8.3.3 Circular Cylinder Flow
8.3.4 Symmetric Flow past a Joukowsky Airfoil
9.Thermal Boundary Layers Without Coupling of the Velocity Field to the Temperature Field
9.1 Boundary—Layer Equations for the Temperature Field
9.2 Forced Convection for Constant Properties
9.3 Effect of the Prandtl Number
9.4 Similar Solutions of the Thermal Boundary Layer
9.5 Integral Methods for Computing the Heat Transfer
9.6 Effect of Dissipation； Distribution of the Adiabatic Wall Temperature
10.Thermal Boundary Layers with Coupling of the Velocity Field to the Temperature Field
10.1 Remark
10.2 Boundary—Layer Equations
10.3 Boundary Layers with Moderate Wall Heat Transfer （Without Gravitational Effects）
10.3.1 Perturbation Calculation
10.3.2 Property Ratio Method （Temperature Ratio Method）
10.3.3 Reference Temperature Method
10.4 Compressible Boundary Layers （Without Gravitational Effects）
10.4.1 Physical Property Relations
10.4.2 Simple Solutions of the Energy Equation
10.4.3 Transformations of the Boundary—Layer Equations
10.4.4 Similar Solutions
10.4.5 Integral Methods
10.4.6 Boundary Layers in Hypersonic Flows
10.5 Natural Convection
10.5.1 Boundary—Layer Equations
10.5.2 Transformation of the Boundary—Layer Equations
10.5.3 Limit of Large Prandtl Numbers （Tw=const）
10.5.4 Similar Solutions
10.5.5 General Solutions
10.5.6 Variable Physical Properties
10.5.7 Effect of Dissipation
10.6 Indirect Natural Convection
10.7 Mixed Convection
……
11.Boundary—Layer Control （Suction／Blowing）
12.Axisymmetric and Three—Dimensional Boundary Layers
13.Unsteady Boundary Layers
14.Extensions to the Prandtl Boundary—Layer Theory
Part Ⅲ.Laminar—Turbulent Transition
15.Onset of Turbulence （Stability Theory）
Part Ⅳ.Turbulent Boundary Layers
16.Fundamentals of Turbulent Flows
17.Internal Flows
18.Turbulent Boundary Layers Without Coupling of the Velocity Field to the Temperature Field
19.Turbulent Boundary Layers with Coupling of the Velocity Field to the Temperature Field
20.Axisymmetric and Three—Dimensional Turbulent Boundary Layers
21.Unsteady Turbulent Boundary Layers
22.Turbulent Free Shear Flows
Part Ⅴ.Numerical Methods in Boundary—Layer Theory
23.Numerical Integration of the Boundary—Layer Equations
List of Frequently Used Symbols
References
Index