Shock Waves & Explosions

Shock Waves & Explosions

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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. Offering an introductory review of historic research, Shock Waves and 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 in the 1970s and 1980s, the author brings you up to date by covering modeling techniques and asymptotic and perturbative methods and ending with a chapter on computational methods. Most of the book deals with the mathematical analysis of explosions, but computational results are also included wherever they are available. Historical perspectives are provided on the advent of nonlinear science, as well as on the mathematical study of the blast wave phenomenon, both when visualized as a point explosion and when simulated as the expansion of a high-pressure gas. This volume clearly reveals the ingenuity of the human mind to conceptualize, model, and mathematically analyze highly complicated nonlinear phenomena such as nuclear explosions. It presents a solid foundation of knowledge that encourages further research and original more

Product details

  • Hardback | 296 pages
  • 162.6 x 238.8 x 22.9mm | 544.32g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 44 black & white illustrations, 10 black & white tables
  • 1584884223
  • 9781584884224
  • 2,477,091

Review quote

"The historical treatment of the subject is, in my opinion, extremely interesting and at U.S. $100 the book is well worth reading." - SIAM Reviewshow more

Table of contents

INTRODUCTION THE PISTON PROBLEM Introduction The Piston Problem--Its Connection with the Blast Wave Piston Problem in the Phase Plane Cauchy Problem in Relation to Automodel Solution of One-Dimensional Nonsteady Gas Flows Uniform Expansion of a Cylinder of Sphere into Still Air--An Analytic Solution of the Boundary Value Problem Plane Gas Dynamics in Transformed Coordinates THE BLAST WAVE Introduction Approximate Analytic Solution of the Blast Wave Problem Involving Shock of Moderate Strength Blast Wave in Lagrangian Coordinates Point Explosion in an Exponential Atmosphere Asymptotic Behaviour of Blast Waves at High Altitude Strong Explosion into a Power Law Density Medium Strong Explosion in Power Law Nonuniform Medium--Self-similar Solutions of the Second Kind Point Explosion with Heat Conduction The Blast Wave at a Large Distance SHOCK PROPAGATION THEORIES--SOME INITIAL STUDIES Shock Wave Theory of Kirkwood and Bethe The Brinkley-Kirkwood Theory Pressure Behind the Shock--A Practical Formula SOME EXACT ANALYTIC SOLUTIONS OF GASDYNAMIC EQUATIONS INVOLVING SHOCKS Exact Solutions of Spherically Symmetric Flows in Eulerian Coordinates Exact Solutions of Gasdynamic Equations in Lagrangian Coordinates Exact Solutions of Gasdynamic Equations with Nonlinear Particle Velocity CONVERGING SHOCK WAVES Converging Shock Waves--The Implosion Problem Spherical Converging Shock Waves--Shock Exponent via the Pressure Maximum Converging Shock Waves Caused by Spherical or Cylindrical Piston Motions SPHERICAL BLAST WAVES PRODUCED BY SUDDEN EXPANSION OF A HIGH PRESSURE GAS Introduction Expansion of a High Pressure Gas into Air--A Series Solution Blast Wave Caused by the Expansion of a High Pressure Gas Sphere--An Approximate Analytic Solution NUMERICAL SIMULATION OF BLAST WAVES Introduction A Brief Review of Difference Schemes for Hyperbolic Systems Blast Wave Computations via Artificial Viscosity Converging Cylindrical Shock Waves Numerical Simulation of Explosions Using Total Variation Diminishing Scheme REFERENCES INDEXshow more