Book Description
This book is dedicated to compressible aerodynamic flows in the context of the inviscid fluid hypothesis. Each chapter offers a simple theoretical presentation followed by an overview of practical calculation methods based on recent results, in order to make theoretical understanding easier and present current applications. Chapters 1 through 8 introduce the fundamental principles of theoretical aerodynamics and continue with vital reminders for understanding the discussions in the following chapters. Chapters 9 through 17 present the theory of steady unidimensional flows and breach surfaces such as shock waves and flow lines. This is central to gas dynamics. Chapters 18 through 24 develop the theory of characteristics applied to the study of supersonic flows as well as unsteady flows. The final chapter describes specific properties of transonic flows.
Table of Contents
 Coverpage
 Dedication
 Titlepage
 Copyright
 Table of Contents
 List of Symbols
 Acknowledgment
 General Introduction
 Chapter 1. Aerodynamics: Aims, Areas of Application and Current Issues

Chapter 2. Aerodynamic Forces: Basic Definitions
 2.1. Main aerodynamic coefficients
 2.2. The liftoverdrag ratio and its practical implications
 2.3. Curves of lift, drag, and polar
 2.4. Other coefficients characterizing the effects of a fluid on a body
 2.5. Evaluation of the action exerted by a fluid on a body
 2.6. The complete aircraft case: aerodynamic torsor

Chapter 3. Review of Thermodynamics
 3.1. Macroscopic systems, basic state variables, and absolute temperature
 3.2. Energy exchanges
 3.3. Postulates of thermodynamics
 3.4. Expression of the entropy
 3.5. Equation of state and the perfect gas model
 3.6. Isentropic relations for a calorically perfect gas
 3.7. Comments on the thermodynamics of studied gases

Chapter 4. Fundamental Equations of Fluid Mechanics
 4.1. Continuous regime and molecular regime
 4.2. The continuous regime and Navier–Stokes equations
 4.3. Law of mass conservation and continuity equation.
 4.4. Equation of motion
 4.5. Expression of the stress tensor
 4.6. Energy equation
 4.7. Entropy equation and expression of the heat flux
 4.8. Summary of basic equations
 4.9. Boundary conditions
 4.10. Acoustic analogy and Lighthill’s equation
 Chapter 5. First Applications of the Conservation Equations
 Chapter 6. Dimensionless Equations: Similarity Parameters
 Chapter 7. Classification of Flows
 Chapter 8. Fundamental Concepts of Fluid Mechanics
 Chapter 9. OneDimensional, NonViscous and Adiabatic Steady Flows
 Chapter 10. Application of the OneDimensional Theory to the Calculation of Supersonic Nozzles

Chapter 11. OneDimensional Flows with Friction and Heat Transfer
 11.1. Friction force and heat transfer on a wall
 11.2. Onedimensional theory and the generalized Hugoniot relation
 11.3. Flow with friction without heat input: stagnation pressure drop in a pipe
 11.4. Flow with heat transfer without friction: thermal choking
 11.5. Calculating method for a onedimensional flow with friction and heat transfer
 Chapter 12. Application of the OneDimensional Theory to the Calculation of Supersonic Ejectors
 Chapter 13. Discontinuity Surfaces: Shock Wave and Slip Line

Chapter 14. Oblique Shock Wave and Shock Polar
 14.1. General solution
 14.2. Shock polar
 14.3. Other properties of the shock polar (pressure – deflection angle)
 14.4. The oblique planar shock wave reflection problem
 14.5. Transition from regular reflection to Mach reflection
 14.6. External, internal and isentropic compressions
 14.7. Conical shock wave
 14.8. Indication on the effects of relaxation or nonequilibrium
 Chapter 15. Shock Intersections or Shock–Shock Interferences
 Chapter 16. Application of the Shock Wave Theory to Supersonic Air Intakes

Chapter 17. Supersonic, Steady, TwoDimensional Flows and the Theory of Characteristics
 17.1. The theory of characteristics: introduction
 17.2. Intrinsic equations of the planar or axisymmetric flows
 17.3. The Cauchy problem and characteristic relations
 17.4. Characteristic relations for the twodimensional planar flow of a calorically perfect gas
 17.5. Applications of the theory of characteristics
 Chapter 18. The Numerical Method of Characteristics

Chapter 19. Application of the Method of Characteristics to the Calculation of Supersonic Nozzles
 19.1. General principle
 19.2. Calculation of the transonic domain
 19.3. Calculation of the flow in a nozzle with a given contour: direct method
 19.4. Calculation of the contour of a nozzle producing a given flow: inverse or design method
 19.5. Example of the definition of the contour of a twodimensional planar nozzle
 19.6. Mach rhombus of a nozzle

Chapter 20. Flows with Shock Waves: Rotational Method of Characteristics
 20.1. Shock wave and rotational flow
 20.2. The origin of a shock caused by a wall discontinuity
 20.3. Origin of a shock caused by a pressure discontinuity
 20.4. The point on a shock in the vicinity of its origin
 20.5. Origin of a focalization shock
 20.6. Normal point of a shock
 20.7. Calculation examples of flows with shock formation
 20.8. Application to the analysis of the structure of a supersonic jet
 20.9. Drag of the symmetric bump in supersonic flow

Chapter 21. OneDimensional, NonViscous and Adiabatic Unsteady Flows
 21.1. Introduction
 21.2. General equations
 21.3. Unsteady isentropic flow in a cylindrical tube
 21.4. The compression wave
 21.5. Intersection of compression waves: formation of a shock wave
 21.6. Distortion of a periodic wave and nonlinear acoustics
 21.7. Reflection–refraction of a wave on a contact surface: acoustic impedance
 21.8. Back on the boundary conditions
 Chapter 22. Unsteady Shock Wave, Contact Surface, and Wave Reflections
 Chapter 23. Shock Tube
 Chapter 24. Numerical Methods for Calculating Unsteady Flows

Chapter 25. Some Properties of Transonic Flows
 25.1. Introduction
 25.2. Potential equation for small disturbances
 25.3. Compressibility correction: the Prandti–Giauert rule
 25.4. Linearized theory for supersonic flows
 25.5. The small perturbation potential equation in transonic
 25.6. Final comments on the potential equation
 25.7. Critical Mach number of an airfoil
 25.8. Transonic flow around an airfoil
 25.9. Drag divergence Mach number
 25.10. Supercritical airfoils
 General Conclusion
 Appendix 1. Review of Mathematical Notations and Relations
 Appendix 2. Table of Useful Relations for the Fundamental Concepts of Aerodynamics
 Appendix 3. Table of Useful Relations for Stationary Onedimensional Flows and Discontinuity Surfaces
 Appendix 4. Table of Useful Relations for Applications of the Theory of Characteristics and Transonic Flows
 Bibliography
 Index
Product Information
 Title: Handbook of Compressible Aerodynamics
 Author(s):
 Release date: August 2010
 Publisher(s): Wiley
 ISBN: 9781848211414