Theoretical and Computational Aerodynamics -- Contents -- Series Preface -- Preface -- Acknowledgements -- 1 Introduction to Aerodynamics and Atmosphere -- 1.1 Motivation and Scope of Aerodynamics -- 1.2 Conservation Principles -- 1.2.1 Conservation Laws and Reynolds Transport Theorem (RTT) -- 1.2.2 Application of RTT: Conservation of Linear Momentum -- 1.3 Origin of Aerodynamic Forces -- 1.3.1 Momentum Integral Theory: Real Fluid Flow -- 1.4 Flow in Accelerating Control Volumes: Application of RTT -- 1.5 Atmosphere and Its Role in Aerodynamics -- 1.5.1 Von Kármán Line
1.5.2 Structure of Atmosphere -- 1.5.3 Armstrong Line or Limit -- 1.5.4 International Standard Atmosphere (ISA) and Other Atmospheric Details -- 1.5.5 Property Variations in Troposphere and Stratosphere -- 1.6 Static Stability of Atmosphere -- Bibliography -- 2 Basic Equations of Motion -- 2.1 Introduction -- 2.1.1 Compressibility of Fluid Flow -- 2.2 Conservation Principles -- 2.2.1 Flow Description Method: Eulerian and Lagrangian Approaches -- 2.2.2 The Continuity Equation: Mass Conservation -- 2.3 Conservation of Linear Momentum: Integral Form
2.4 Conservation of Linear Momentum: Differential Form -- 2.4.1 General Stress System in a Deformable Body -- 2.5 Strain Rate of Fluid Element in Flows -- 2.5.1 Kinematic Interpretation of Strain Tensor -- 2.6 Relation between Stress and Rate of Strain Tensors in Fluid Flow -- 2.7 Circulation and Rotationality in Flows -- 2.8 Irrotational Flows and Velocity Potential -- 2.9 Stream Function and Vector Potential -- 2.10 Governing Equation for Irrotational Flows -- 2.11 Kelvin's Theorem and Irrotationality -- 2.12 Bernoulli's Equation: Relation of Pressure and Velocity
2.13 Applications of Bernoulli's Equation: Air Speed Indicator -- 2.13.1 Aircraft Speed Measurement -- 2.13.2 The Pressure Coefficient -- 2.13.3 Compressibility Correction for Air Speed Indicator -- 2.14 Viscous Effects and Boundary Layers -- 2.15 Thermodynamics and Reynolds Transport Theorem -- 2.16 Reynolds Transport Theorem -- 2.17 The Energy Equation -- 2.17.1 The Steady Flow Energy Equation -- 2.18 Energy Conservation Equation -- 2.19 Alternate Forms of Energy Equation -- 2.20 The Energy Equation in Conservation Form -- 2.21 Strong Conservation and Weak Conservation Forms
2.22 Second Law of Thermodynamics and Entropy -- 2.23 Propagation of Sound and Mach Number -- 2.24 One-Dimensional Steady Flow -- 2.25 Normal Shock Relation for Steady Flow -- 2.26 Rankine -- Hugoniot Relation -- 2.27 Prandtl or Meyer Relation -- 2.28 Oblique ShockWaves -- 2.29 Weak Oblique Shock -- 2.30 Expansion of Supersonic Flows -- Bibliography -- 3 Theoretical Aerodynamics of Potential Flows -- 3.1 Introduction -- 3.2 Preliminaries of Complex Analysis for 2D Irrotational Flows: Cauchy -- Riemann Relations -- 3.2.1 Cauchy's Residue Theorem -- 3.2.2 Complex Potential and Complex Velocity
