Ebook: Shock Dynamics

This book was written as a graduate student course--Shock Dynamics. Up to now, the first author has taught this course to the graduate students in the field of Fluid Mechanics, Department of Modern Mechanics, University of Science and Technology of China for seven times. In the spring semester 1989, during his visit to the United States, the first author taught this course to the graduate students of Department of Mathemat­ ics, University of Colorado at Denver. At the same time, he gave a series of four lectures on Shock Dynamics to the graduate students of Department of Aerospace Engineering Sciences, University of Colorado at Boulder. In 1991, during the first author's visit to Japan, he gave some lectures on Shock Dynamics in Tohoku University, University of Tokyo and Kyushu Uni­ versity. The dynamic phenomena of shock waves such as propagation, diffraction, reflection, refraction and interaction of shock waves may be studied by using experimental methods, numerical calculations and theoretical analyses. Although the detailed flow patterns of phenomena of shock motion can be obtained by using experimental methods and numerical calculations of solving Euler Equation or Navier-Stokes Equation, for example, the diffractions of shock waves by wedges form various phenomena of reflection--RR, SMR, CMR and DMR, we also need to analyse the process of the formation of shock waves in various phenomena of diffraction, reflection and interaction by using theoretical methods.

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The phenomena of shock motion, including propagation, diffraction, reflection, refraction and interaction of shock waves, can be studied by theoretical analysis, experimental methods and numerical calculations. Although emphasis is placed on the detailed flow pattern obtained by experimental or computational research solving the Euler or Navier-Stokes equation, shock wave formation can usefully be analysed by theoretical methods.
This book introduces the shock dynamic method and explains the underlying concepts, then progresses to a systematic description of the methods, equations and applications of shock dynamics. The book broadly follows the two main categories of shock; that propagating into a quiescent gas, and that into a moving gas, including shock propagating through a non-uniform disturbed flow field.
The book consists of three parts:
Part I (Chapters 1-4) describes the equations and applications of shock dynamics for quiescent uniform and non-uniform gas ahead of shock.
Part II (Chapter 5-7) then describes the application of the equations for uniform and non-uniform flows ahead of shock.
Part III (Chapters 8-10) introduces Mach reflection of shock for steady, pseudo-steady and unsteady flow; shock refraction at gas interface and the interaction between two shocks.
For mechanical and aerospace engineers, applied mathematicians.

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The phenomena of shock motion, including propagation, diffraction, reflection, refraction and interaction of shock waves, can be studied by theoretical analysis, experimental methods and numerical calculations. Although emphasis is placed on the detailed flow pattern obtained by experimental or computational research solving the Euler or Navier-Stokes equation, shock wave formation can usefully be analysed by theoretical methods.
This book introduces the shock dynamic method and explains the underlying concepts, then progresses to a systematic description of the methods, equations and applications of shock dynamics. The book broadly follows the two main categories of shock; that propagating into a quiescent gas, and that into a moving gas, including shock propagating through a non-uniform disturbed flow field.
The book consists of three parts:
Part I (Chapters 1-4) describes the equations and applications of shock dynamics for quiescent uniform and non-uniform gas ahead of shock.
Part II (Chapter 5-7) then describes the application of the equations for uniform and non-uniform flows ahead of shock.
Part III (Chapters 8-10) introduces Mach reflection of shock for steady, pseudo-steady and unsteady flow; shock refraction at gas interface and the interaction between two shocks.
For mechanical and aerospace engineers, applied mathematicians.

Content:
Front Matter....Pages N1-viii
Introduction One-Dimensional Unsteady Gasdynamics....Pages 1-18
Front Matter....Pages 19-19
Relation Between M and A for a Uniform Quiescent Gas Ahead of a Shock Wave....Pages 21-41
Two-Dimensional Equations of Shock Dynamics for a Uniform Quiescent Gas Ahead of a Shock Wave....Pages 42-67
Three-Dimensional Equations of Shock Dynamics for a Uniform Quiescent Gas Ahead of a Shock Wave....Pages 68-117
Equations of Shock Dynamics for a Nonuniform Quiescent Gas Ahead of a Shock Wave....Pages 118-132
Front Matter....Pages 133-133
Two-Dimensional Equations For a Uniform Moving Gas Ahead of a Shock Wave....Pages 135-164
One- and Two- Dimensional Equations for a Nonuniform Moving Gas Ahead of a Shock Wave....Pages 165-190
Three- Dimensional Equations for a Nonuniform Moving Gas Ahead of a Shock Wave....Pages 191-229
Front Matter....Pages 231-231
Reflections of Shock Waves in Steady and Pseudosteady Flows....Pages 233-263
Reflections of Shock Waves in Unsteady Flow....Pages 264-279
Refractions of Shock Waves at Interface Between Different Media and Interaction Between Shocks....Pages 280-309
Back Matter....Pages 310-324

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The phenomena of shock motion, including propagation, diffraction, reflection, refraction and interaction of shock waves, can be studied by theoretical analysis, experimental methods and numerical calculations. Although emphasis is placed on the detailed flow pattern obtained by experimental or computational research solving the Euler or Navier-Stokes equation, shock wave formation can usefully be analysed by theoretical methods.
This book introduces the shock dynamic method and explains the underlying concepts, then progresses to a systematic description of the methods, equations and applications of shock dynamics. The book broadly follows the two main categories of shock; that propagating into a quiescent gas, and that into a moving gas, including shock propagating through a non-uniform disturbed flow field.
The book consists of three parts:
Part I (Chapters 1-4) describes the equations and applications of shock dynamics for quiescent uniform and non-uniform gas ahead of shock.
Part II (Chapter 5-7) then describes the application of the equations for uniform and non-uniform flows ahead of shock.
Part III (Chapters 8-10) introduces Mach reflection of shock for steady, pseudo-steady and unsteady flow; shock refraction at gas interface and the interaction between two shocks.
For mechanical and aerospace engineers, applied mathematicians.

Content:
Front Matter....Pages N1-viii
Introduction One-Dimensional Unsteady Gasdynamics....Pages 1-18
Front Matter....Pages 19-19
Relation Between M and A for a Uniform Quiescent Gas Ahead of a Shock Wave....Pages 21-41
Two-Dimensional Equations of Shock Dynamics for a Uniform Quiescent Gas Ahead of a Shock Wave....Pages 42-67
Three-Dimensional Equations of Shock Dynamics for a Uniform Quiescent Gas Ahead of a Shock Wave....Pages 68-117
Equations of Shock Dynamics for a Nonuniform Quiescent Gas Ahead of a Shock Wave....Pages 118-132
Front Matter....Pages 133-133
Two-Dimensional Equations For a Uniform Moving Gas Ahead of a Shock Wave....Pages 135-164
One- and Two- Dimensional Equations for a Nonuniform Moving Gas Ahead of a Shock Wave....Pages 165-190
Three- Dimensional Equations for a Nonuniform Moving Gas Ahead of a Shock Wave....Pages 191-229
Front Matter....Pages 231-231
Reflections of Shock Waves in Steady and Pseudosteady Flows....Pages 233-263
Reflections of Shock Waves in Unsteady Flow....Pages 264-279
Refractions of Shock Waves at Interface Between Different Media and Interaction Between Shocks....Pages 280-309
Back Matter....Pages 310-324
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