9781584884224

Shock Waves & Explosions

by ;
  • ISBN13:

    9781584884224

  • ISBN10:

    1584884223

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2004-06-11
  • Publisher: Chapman & Hall/

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Summary

Understanding the causes and effects of explosions is important to experts in a broad range of disciplines, including the military, industrial and environmental research, aeronautic engineering, and applied mathematics. While offering an introductory review of historic research, Shock Waves & Explosions brings analytic and computational methods to a wide audience in a clear and thorough way. Beginning with an overview of the research on combustion and gas dynamics by Korobeinikov and Zeldovich in the 1970s and 1980s, the author brings readers up to date by covering modeling techniques and asymptotic and perturbative methods and ending with a chapter on computational methods.

Table of Contents

Preface ix
Acknowledgements x
1 Introduction 1(14)
2 The Piston Problem 15(34)
2.1 Introduction
15(2)
2.2 The Piston Problem: Its Connection with the Blast Wave
17(6)
2.3 Piston Problem in the Phase Plane
23(5)
2.4 Cauchy Problem in Relation to Automodel Solutions of One-Dimensional Nonsteady Gas Flows
28(5)
2.5 Uniform Expansion of a Cylinder or Sphere into Still Air: An Analytic Solution of the Boundary Value Problem
33(4)
2.6 Plane Gas Dynamics in Transformed Co-ordinates
37(12)
3 The Blast Wave 49(88)
3.1 Introduction
49(7)
3.2 Approximate Analytic Solution of the Blast Wave Problem Involving Shocks of Moderate Strength
56(23)
3.3 Blast Wave in Lagrangian Co-ordinates
79(11)
3.4 Point Explosion in an Exponential Atmosphere
90(9)
3.5 Asymptotic Behaviour of Blast Waves at a High Altitude
99(4)
3.6 Strong Explosion into a Power Law Density Medium
103(7)
3.7 Strong Explosion into Power Law Nonuniform Medium: Self-similar Solutions of the Second Kind
110(8)
3.8 Point Explosion with Heat Conduction
118(12)
3.9 The Blast Wave at a Large Distance
130(7)
4 Shock Propagation Theories: Some Initial Studies 137(16)
4.1 Shock Wave Theory of Kirkwood and Bethe
137(7)
4.2 The Brinkley-Kirkwood Theory
144(6)
4.3 Pressure Behind the Shock: A Practical Formula
150(3)
5 Some Exact Analytic Solutions of Gasdynamic Equations Involving Shocks 153(24)
5.1 Exact Solutions of Spherically Symmetric Flows in Eulerian Coordinates
153(10)
5.2 Exact Solutions of Gasdynamic Equations in Lagrangian Coordinates
163(7)
5.3 Exact Solutions of Gasdynamic Equations with Nonlinear Particle Velocity
170(7)
6 Converging Shock Waves 177(18)
6.1 Converging Shock Waves: The Implosion Problem
177(6)
6.2 Spherical Converging Shock Waves: Shock Exponent via the Pressure Maximum
183(5)
6.3 Converging Shock Waves Caused by Spherical or Cylindrical Piston Motions
188(7)
7 Spherical Blast Waves Produced by Sudden Expansion of a High Pressure Gas 195(30)
7.1 Introduction
195(2)
7.2 Expansion of a High Pressure Gas into Air: A Series Solution
197(11)
7.3 Blast Wave Caused by the Expansion of a High Pressure Gas Sphere: An Approximate Analytic Solution
208(17)
8 Numerical Simulation of Blast Waves 225(40)
8.1 Introduction
225(3)
8.2 A Brief Review of Difference Schemes for Hyperbolic Systems
228(5)
8.3 Blast Wave Computations via Artificial Viscosity
233(9)
8.4 Converging Cylindrical Shock Waves
242(11)
8.5 Numerical Simulation of Explosions Using Total Variation Diminishing Scheme
253(12)
References 265(10)
Index 275

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