# Introduction to Simple Shock Waves in Air

## Benefits

• Helps solve nonlinear equations of fluid flow in the presence of shocks

• Includes results of numerical examples compared with theoretical predictions to solidify the concepts

• Results arise from the numerical solution using Mathcad

Book

Part of the Shock Wave and High Pressure Phenomena book series (SHOCKWAVE)

1. Front Matter
Pages i-xiii
2. Seán Prunty
Pages 1-34
3. Seán Prunty
Pages 35-79
4. Seán Prunty
Pages 81-109
5. Seán Prunty
Pages 111-156
6. Seán Prunty
Pages 157-215
7. Seán Prunty
Pages 217-242
8. Back Matter
Pages 243-247

### Introduction

This book provides an elementary introduction to some one-dimensional fluid flow problems involving shock waves in air.  The differential equations of fluid flow are approximated by finite difference equations and these in turn are numerically integrated in a stepwise manner. Artificial viscosity is introduced into the numerical calculations in order to deal with shocks. The presentation is restricted to the finite-difference approach to solve the coupled differential equations of fluid flow as distinct from finite-volume or finite-element methods. This text presents the results arising from the numerical solution using Mathcad programming. Both plane and spherical shock waves are discussed with particular emphasis on very strong explosive shocks in air.

This text will appeal to students, researchers, and professionals in shock wave research and related fields. Students in particular will appreciate the benefits of numerical methods in fluid mechanics and the level of presentation.

### Keywords

finite difference equations compressible flow rankine hugoniot equations Spherical shock waves shock waves in air finite-difference approach plane shock waves gas dynamics course compressible fluid dynamics course

#### Authors and affiliations

1. 1.BallincolligIreland

Dr. Seán Prunty is a former senior lecturer in electrical and electronic engineering at University College Cork Ireland. He has a primary degree and a Ph.D. degree, both in experimental physics, from the University of Dublin, Trinity College. He has thirty years of teaching experience and has carried out research in such areas as atomic physics and laser technology as well as in far-infrared polarimetry and electromagnetic scattering for plasma physics applications. He collaborated for many years on research in the fusion energy research area in Italy, England and Switzerland. Since his retirement in 2009 he has taken a particular interest in shock wave propagation.

### Bibliographic information

• Book Title Introduction to Simple Shock Waves in Air
• Book Subtitle With Numerical Solutions Using Artificial Viscosity
• Authors Seán Prunty
• Series Title Shock Wave and High Pressure Phenomena
• Series Abbreviated Title Shock Wave,High Pressure(formerly:High-Pressure Shock Com.)
• DOI https://doi.org/10.1007/978-3-030-02565-6
• Copyright Information Springer Nature Switzerland AG 2019
• Publisher Name Springer, Cham
• eBook Packages Engineering Engineering (R0)
• Hardcover ISBN 978-3-030-02564-9
• eBook ISBN 978-3-030-02565-6
• Series ISSN 2197-9529
• Series E-ISSN 2197-9537
• Edition Number 1
• Number of Pages XIII, 247
• Number of Illustrations 93 b/w illustrations, 0 illustrations in colour
• Topics
• Buy this book on publisher's site
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