Analytical Fluid Dynamics

• Basic concepts
  
• A novel approach to linking complicated thermodynamics to the equations of
  motion
  
• Shockwave dynamics
  
• Calorically imperfect gas flows
  
• Supersonic sweep
  
• Shock-expansion interference
  
• Unsteady, one-dimensional flows
  
• First- and second-order boundary-layer theory
  Particularly noteworthy is a new, general treatment of forces and moments.

The
one-dimension flow chapter also discusses internal ballistics and the Riemann
function method for solving hyperbolic equations. These two chapters, along with
those dealing with thermodynamics, sweep, interference, imperfect gas glows, and
several of the appendices are new to this edition.

Analytical Fluid Dynamics: Second Edition answers the continued need for fluid
dynamic books that combine physical insight with careful development of the
corresponding mathematics. With his focus on the development of analytical
skills for dealing with inviscid and viscous flow, the author achieves this goal
and provides a text valuable as a research reference or a classroom text.

Contents

Preface

Part I: Basic Concepts

Chapter 1: Background Discussion

Chapter 2: The Conservation Equations

Chapter 3: The Second Law of Thermodynamics

Chapter 4: Kinematics

Part II: Inviscid Flow

Chapter 5: Euler Equations

Chapter 6: Shock Wave Dynamics

Chapter 7: The Hodograph Transformation

Chapter 8: The Substitution Principle

Part III: Exact Solutions for a Viscous Flow

Chapter 9: Coordinate Systems and Similarity

Chapter 10: Rayleigh Flow

Chapter 11: Couette Flow

Chapter 12: Stagnation Point Flow

Part IV: Laminar Boundary-Layer Theory for Steady Two-Dimensional or Axisymmetric Flow

Chapter 13: Incompressible Flow over a Flat Plate

Chapter 14: Large Reynolds Number Flow

Chapter 15: Incompressible Boundary-Layer Theory

Chapter 16: Compressible Boundary-Layer Theory

Chapter 17: Supersonic Boundary-Layer Examples

Chapter 18: Second-Order Boundary-Layer Theory

Appendix A: Summary of Equations from Vector and Tensor Analysis

Appendix B: Conditions on the Downstream Side of a Steady Shock Wave in a Two-Dimensional or Axisymmetric Flow of a Perfect Gas

Appendix C: Method of Characteristics for a Single, First-Order PDE

Appendix D: Tangential Derivatives on the Downstream Side of a Shock in the xi[subscript 1] and xi[subscript 2] Directions

Appendix E: Conservation and Vector Equations in Orthogonal Curvilinear Coordinates xi[subscript i]

Appendix F: Conservation Equations in Body-Oriented Coordinates

Appendix G: Summary of Compressible, Similar Boundary-Layer Equations

Appendix H: Second-Order Boundary-Layer Equations for Supersonic, Rotational Flow over a Flat Plate

Hints and Answers to Selected Problems

References

Index