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Introduction to Simple Shock Waves in Air

With Numerical Solutions Using Artificial Viscosity

  • Book
  • © 2021

Overview

Authors:
  1. Seán Prunty

    1. Ballincollig, Ireland

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  • Expanded with substantial new material
  • Shows how to solve nonlinear equations of fluid flow in the presence of shocks
  • Compares results of numerical examples with theoretical predictions
  • Demonstrates use of Mathcad to obtain numerical solutions

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xv
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  2. Brief Outline of the Equations of Fluid Flow

    • Seán Prunty
    Pages 1-42

  3. Waves of Finite Amplitude

    • Seán Prunty
    Pages 43-88

  4. Conditions Across the Shock: The Rankine-Hugoniot Equations

    • Seán Prunty
    Pages 89-130

  5. Numerical Treatment of Plane Shocks

    • Seán Prunty
    Pages 131-215

  6. Spherical Shock Waves: The Self-similar Solution

    • Seán Prunty
    Pages 217-279

  7. Numerical Treatment of Spherical Shock Waves

    • Seán Prunty
    Pages 281-312

  8. Back Matter

    Pages 313-344
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Keywords

About this book

This book provides an elementary introduction to 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, with artificial viscosity introduced into the numerical calculations in order to deal with shocks. This treatment of the subject is focused on the finite-difference approach to solve the coupled differential equations of fluid flow and 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 expanded second edition features substantial new material on sound wave parameters, Riemann's method for numerical integration of the equations of motion, approximate analytical expressions for weak shock waves, short duration piston motion, numerical results forshock wave interactions, and new appendices on the piston withdrawal problem and numerical results for a closed shock tube.


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.

Authors and Affiliations

  • Ballincollig, Ireland

    Seán Prunty

About the author

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.

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