Articles liés à Prandtl's Essentials of Fluid Mechanics
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Synopsis
Contents Preface 1. Introduction 2. Properties of Liquids and Gases 2.1 Properties of Liquids 2.2 State of Stress 2.3 Liquid Pressure 2.4 Properties of Gases 2.5 Gas Pressure 2.6 Interaction Between Gas Pressure and Liquid Pressure 2.7 Equilibrium in Other Force Fields 2.8 Surface Stress (Capillarity) 2.9 Problems 3. Kinematics of Fluid Flow 3.1 Methods of Representation 3.2 Acceleration of a Flow 3.3 Topology of a Flow 3.4 Problems 4. Dynamics of Fluid Flow 4.1 Dynamics of Inviscid Liquids 4.1.1 Continuity and the Bernoulli Equation 4.1.2 Consequences of the Bernoulli Equation 4.1.3 Pressure Measurement 4.1.4 Interfaces and Formation of Vortices 4.1.5 Potential Flow 4.1.6 Wing Lift and the Magnus Effect 4.1.7 Balance of Momentum for Steady Flows 4.1.8 Waves on a Free Liquid Surface 4.1.9 Problems 4.2 Dynamics of Viscous Liquids 4.2.1 Viscosity (Inner Friction), the Navier-Stokes Equation 4.2.2 Mechanical Similarity, Reynolds Number 4.2.3 Laminar Boundary Layers 4.2.4 Onset of Turbulence 4.2.5 Fully Developed Turbulence 4.2.6 Flow Separation and Vortex Formation 4.2.7 Secondary Flows 4.2.8 Flows with Prevailing Viscosity 4.2.9 Flows Through Pipes and Channels 4.2.10 Drag of Bodies in Liquids 4.2.11 Flows in Non-Newtonian Media 4.2.12 Problems 4.3 Dynamics of Gases 4.3.1 Pressure Propagation, Velocity of Sound 4.3.2 Steady Compressible Flows 4.3.3 Conservation of Energy 4.3.4 Theory of Normal Shock Waves 4.3.5 Flows past Corners, Free Jets 4.3.6 Flows with Small Perturbations 4.3.7 Flows past Airfoils 4.3.8 Problems 5. Fundamental Equations of Fluid Mechanics 5.1 Continuity Equation 5.2 Navier-Stokes Equations 5.2.1 Laminar Flows 5.2.2 Reynolds Equations for Turbulent Flows 5.3 Energy Equation 5.3.1 Laminar Flows 5.3.2 Turbulent Flows 5.4 Fundamental Equations as Conservation Laws 5.4.1 Hierarchy of Fundamental Equations 5.4.2 Navier-Stokes Equations 5.4.3 Derived Model Equations 5.4.4 Reynolds Equations for Turbulent Flows 5.4.5 Multiphase Flows 5.4.6 Reactive Flows 5.5 Differential Equations of Perturbations 5.6 Problems 6. Aerodynamics 6.1 Fundamentals of Aerodynamics 6.1.1 Bird Flight and Technical Imitations 6.1.2 Airfoils and Wings 6.1.3 Airfoil and Wing Theory 6.1.4 Aerodynamic Facilities 6.2 Transonic Aerodynamics 6.2.1 Swept Wings 6.2.2 Shock-Boundary-Layer Interaction 6.2.3 Flow Separation 6.3 Supersonic Aerodynamics 6.3.1 Delta Wings 6.4 Problems 7. Turbulent Flows 7.1 Fundamentals of Turbulent Flows 7.2 Onset of Turbulence 7.2.1 Linear Stability 7.2.2 Nonlinear Stability 7.2.3 Nonnormal Stability 7.3 Developed Turbulence 7.3.1 The Notion of a Mixing Length 7.3.2 Turbulent Mixing 7.3.3 Energy Relations in Turbulent Flows 7.4 Classes of Turbulent Flows 7.4.1 Free Turbulence 7.4.2 Flow Along a Boundary 7.4.3 Rotating and Strati.ed Flows, Flows with Curvature Effects 7.4.4 Turbulence in Tunnels 7.4.5 Two-Dimensional Turbulence 7.5 New Developments in Turbulence 7.5.1 Lagrangian Investigations of Turbulence 7.5.2 Field-Theoretic Methods 7.5.3 Outlook 8. Fluid-Mechanical Instabilities 8.1 Fundamentals of Fluid-Mechanical Instabilities 8.1.1 Examples of Fluid-Mechanical Instabilities 8.1.2 De.nition of Stability 8.1.3 Local Perturbations 8.2 Stratification Instabilities 8.2.1 Rayleigh-Benard Convection 8.2.2 Marangoni Convection 8.2.3 Diffusion Convection 8.3 Hydrodynamic Instabilities 8.3.1 Taylor Instability 8.3.2 Gortler Instability 8.4 Shear-Flow Instabilities 8.4.1 Boundary-Layer Flows 8.4.2 Tollmien-Schlichting and
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