流体力学

Ⅰ　Fundamentals
　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
Ⅱ　Selected Topics in Fluid Mechanics
　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
……
A Introduction to Cartesian Tensors
B Curvilinear Coordinates
C Tables and Diagrams for Compressible Flow
D Physical Properties of Air and Water
Bibliography
Index