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 0verview of the Following Material
3.Field Equations for Flows of Newtonian Fluids
3.1 Description of Flow Fields
3.2 Continuity Equation
3.3 Momentum Equation
3.4 General Stress State of Deformable Bodies
3.5 General State ofDeformation ofFlowing Fluids
3.6 Relation Between Stresses and Rate ofDeformation
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 ofthe Equations ofMotion
4.1 Similarity Laws
4.2 Similarity Laws for Flow with Buoyancy Forces (Mixed Forced and Natural Convectionl
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-PoiseuiUe 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 Flowl
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 a4-'l 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
Part III.Laminar-turbulent transition
Part V.Numerical Mehods in boundary-Layer theory
