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Foreword | |
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Series Preface | |
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Preface | |
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List of Symbols | |
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Introduction to the Conceptual Landscape | |
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From Elementary Particles to Aerodynamic Flows | |
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Continuum Fluid Mechanics and the Navier-Stokes Equations | |
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The Continuum Formulation and Its Range of Validity | |
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Mathematical Formalism | |
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Kinematics: Streamlines, Streaklines, Timelines, and Vorticity | |
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Streamlines and Streaklines | |
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Streamtubes, Stream Surfaces, and the Stream Function | |
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Timelines | |
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The Divergence of the Velocity and Green's Theorem | |
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Vorticity and Circulation | |
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The Velocity Potential in Irrotational Flow | |
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Concepts that Arise in Describing the Vorticity Field | |
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Velocity Fields Associated with Concentrations of Vorticity | |
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The Biot-Savart Law and the "Induction" Fallacy | |
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The Equations of Motion and their Physical Meaning | |
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Continuity of the Flow and Conservation of Mass | |
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Forces on Fluid Parcels and Conservation of Momentum | |
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Conservation of Energy | |
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Constitutive Relations and Boundary Conditions | |
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Mathematical Nature of the Equations | |
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The Physics as Viewed in the Eulerian Frame | |
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The Pseudo-Lagrangian Viewpoint | |
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Cause and Effect, and the Problem of Prediction | |
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The Effects of Viscosity | |
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Turbulence, Reynolds Averaging, and Turbulence Modeling | |
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Important Dynamical Relationships | |
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Galilean Invariance, or Independence of Reference Frame | |
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Circulation Preservation and the Persistence of Irrotationality | |
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Behavior of Vortex Tubes in Inviscid and Viscous Flows | |
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Bernoulli Equations and Stagnation Conditions | |
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Crocco's Theorem | |
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Dynamic Similarity | |
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Compressibility Effects and the Mach Number | |
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Viscous Effects and the Reynolds Number | |
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Scaling of Pressure Forces: the Dynamic Pressure | |
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Consequences of Failing to Match All of the Requirements for Similarity | |
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"Incompressible" Flow and Potential Flow | |
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Compressible Flow and Shocks | |
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Steady ID Isentropic Flow Theory | |
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Relations for Normal and Oblique Shock Waves | |
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Boundary Layers | |
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Physical Aspects of Boundary-Layer Flows | |
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The Basic Sequence: Attachment, Transition, Separation | |
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General Development of the Boundary-Layer Flowfield | |
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Boundary-Layer Displacement Effect | |
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Separation from a Smooth Wall | |
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Boundary-Layer Theory | |
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The Boundary-Layer Equations | |
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Integrated Momentum Balance in a Boundary Layer | |
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The Displacement Effect and Matching with the Outer Flow | |
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The Vorticity "Budget" in a 2D Incompressible Boundary Layer | |
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Situations That Violate the Assumptions of Boundary-Layer Theory | |
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Summary of Lessons from Boundary-Layer Theory | |
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Flat-Plate Boundary Layers and Other Simplified Cases | |
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Flat-Plate Flow | |
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2D Boundary-Layer Flows with Similarity | |
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Axisymmetric Flow | |
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Plane-of-Symmetry and Attachment-Line Boundary Layers | |
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Simplifying the Effects of Sweep and Taper in 3D | |
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Transition and Turbulence | |
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Boundary-Layer Transition | |
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Turbulent Boundary Layers | |
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Control and Prevention of Flow Separation | |
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Body Shaping and Pressure Distribution | |
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Vortex Generators | |
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Steady Tangential Blowing through a Slot | |
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Active Unsteady Blowing | |
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Suction | |
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Heat Transfer and Compressibility | |
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Heat Transfer, Compressibility, and the Boundary-Layer Temperature Field | |
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The Thermal Energy Equation and the Prandtl Number | |
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The Wall Temperature and Other Relations for an Adiabatic Wall | |
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Effects of Surface Roughness | |
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General Features of Flows around Bodies | |
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The Obstacle Effect | |
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Basic Topology of Flow Attachment and Separation | |
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Attachment and Separation in 2D | |
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Attachment and Separation in 3D | |
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Streamline Topology on Surfaces and in Cross Sections | |
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Wakes | |
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Integrated Forces: Lift and Drag | |
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Drag and Propulsion | |
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Basic Physics and Flowfield Manifestations of Drag and Thrust | |
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Basic Physical Effects of Viscosity y | |
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The Role of Turbulence | |
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Direct and Indirect Contributions to the Drag Force on the Body | |
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Determining Drag from the Flowfield: Application of Conservation Laws | |
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Examples of Flowfield Manifestations of Drag in Simple 2D Flows | |
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Pressure Drag of Streamlined and Bluff Bodies A | |
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Questionable Drag Categories: Parasite Drag, Base Drag, and Slot Drag | |
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Effects of Distributed Surface Roughness on Turbulent Skin Friction | |
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Interference Drag | |
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Some Basic Physics of Propulsion | |
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Drag Estimation | |
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Empirical Correlations | |
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Effects of Surface Roughness on Turbulent Skin Friction | |
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CFD Prediction of Drag | |
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Drag Reduction | |
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Reducing Drag by Maintaining a Run of Laminar Flow | |
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Reduction of Turbulent Skin Friction | |
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Lift and Airfoils in 2D at Subsonic Speeds | |
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Mathematical Prediction of Lift in 2D | |
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Lift in Terms of Circulation and Bound Vorticity | |
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The Classical Argument for the Origin of the Bound Vorticity | |
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Physical Explanations of Lift in 2D | |
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Past Explanations and their Strengths and Weaknesses | |
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Desired Attributes of a More Satisfactory Explanation | |
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A Basic Explanation of Lift on an Airfoil, Accessible to a Nontechnical Audience | |
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More Physical Details on Lift in 2D, for the Technically Inclined | |
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Airfoils | |
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Pressure Distributions and Integrated Forces at Low Math Numbers | |
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Profile Drag and the Drag Polar | |
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Maximum Lift and Boundary-Layer Separation on Single-Element Airfoils | |
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Multielement Airfoils and the Slot Effect | |
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Cascades | |
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Low-Drag Airfoils with Laminar Flow | |
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Low-Reynolds-Number Airfoils | |
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Airfoils in Transonic Flow | |
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Airfoils in Ground Effect | |
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Airfoil Design | |
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Issues that Arise in Defining Airfoil Shapes | |
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Lift and Wings in 3D at Subsonic Speeds | |
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The Flowfield around a 3D Wing | |
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General Characteristics of the Velocity Field | |
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The Vortex Wake | |
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The Pressure Field around a 3D Wing | |
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Explanations for the Flowfield | |
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Vortex Shedding from Edges Other Than the Trailing Edge | |
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Distribution of Lift on a 3D Wing | |
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Basic and Additional Spanloads | |
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Linearized Lifting-Surface Theory | |
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Lifting-Line Theory | |
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3D Lift in Ground Effect | |
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Maximum Lift, as Limited by 3D Effects | |
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Induced Drag | |
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Basic Scaling of Induced Drag | |
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Induced Drag from a Farfield Momentum Balance | |
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Induced Drag in Terms of Kinetic Energy and an Idealized Rolled-Up Vortex Wake | |
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Induced Drag from the Loading on the Wing Itself: Treffiz-Plane Theory | |
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Ideal (Minimum) Induced-Drag Theory | |
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Span-Efficiency Factors | |
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The Induced-Drag Polar | |
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The Sin-Series Spanloads | |
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The Reduction of Induced Drag in Ground Effect | |
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The Effect of a Fuselage on Induced Drag | |
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Effects of a Canard or Aft Tail on Induced Drag | |
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Biplane Drag | |
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Wingtip Devices | |
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Myths Regarding the Vortex Wake, and Some Questionable Ideas for Wingtip Devices | |
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The Facts of Life Regarding Induced Drag and Induced-Drag Reduction | |
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Milestones in the Development of Theory and Practice | |
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Wingtip Device Concepts | |
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Effectiveness of Various Device Configurations | |
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Manifestations of Lift in the Atmosphere at Large | |
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The Net Vertical Momentum Imparted to the Atmosphere | |
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The Pressure Far above and below the Airplane | |
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Downwash in the Treffiz Plane and Other Momentum-Conservation Issues | |
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Sears's Incorrect Analysis of the Integrated Pressure Far Downstream | |
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The Real Flowfield Far Downstream of the Airplane | |
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Effects of Wing Sweep | |
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Simple Sweep Theory | |
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Boundary Layers on Swept Wings | |
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Shock/Boundary-Layer Interaction on Swept Wings | |
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Laminar-to-Turbulent Transition on Swept Wings | |
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Relating a Swept, Tapered Wing to a 2D Airfoil | |
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Tailoring of the Inboard Pail of a Swept Wing | |
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Theoretical Idealizations Revisited | |
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Approximations Grouped According to how the Equations were Modified | |
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Reduced Temporal and/or Spatial Resolution | |
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Simplified Theories Based on Neglecting Something Small | |
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Reductions in Dimensions | |
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Simplified Theories Based on Ad hoc Flow Models | |
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Qualitative Anomalies and Other Consequences of Approximations | |
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Some Tools of MFD (Mental Fluid Dynamics) | |
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Simple Conceptual Models for Thinking about Velocity Fields | |
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Thinking about Viscous and Shock Drag | |
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Thinking about Induced Drag | |
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A Catalog of Fallacies | |
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Modeling Aerodynamic Flows in Computational Fluid Dynamics | |
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Basic Definitions | |
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The Major Classes of CFD Codes and Their Applications | |
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Navier-Stokes Methods | |
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Coupled Viscous/Inviscid Methods | |
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Inviscid Methods | |
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Standalone Boundary-Layer Codes | |
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Basic Characteristics of Numerical Solution Schemes | |
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Discretization | |
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Spatial Field Grids | |
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Grid Resolution and Grid Convergence | |
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Solving the Equations, and Iterative Convergence | |
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Physical Modeling in CFD | |
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Compressibility and Shocks | |
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Viscous Effects and Turbulence | |
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Separated Shear Layers and Vortex Wakes | |
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The Farfield | |
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Predicting Drag | |
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Propulsion Effects | |
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CFD Validation? | |
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Integrated Forces and the Components of Drag | |
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Solution Visualization | |
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Things a User Should Know about a CFD Code before Running it | |
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References | |
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Index | |