Update cookies preferences

Shock Waves & Explosions [Paperback / softback]

(Indian Institute of Science, Bangalore, India)
  • Format: Paperback / softback, 290 pages, height x width: 254x178 mm, weight: 540 g, 10 Tables, black and white; 44 Illustrations, black and white
  • Series: Monographs and Surveys in Pure and Applied Mathematics
  • Pub. Date: 24-Oct-2019
  • Publisher: Chapman & Hall/CRC
  • ISBN-10: 0367394170
  • ISBN-13: 9780367394172
Other books in subject:
  • Paperback / softback
  • Price: 89,19 €
  • This book is not in stock. Book will arrive in about 2-4 weeks. Please allow another 2 weeks for shipping outside Estonia.
  • Quantity:
  • Add to basket
  • Delivery time 4-6 weeks
  • Add to Wishlist
  • For Libraries
  • Format: Paperback / softback, 290 pages, height x width: 254x178 mm, weight: 540 g, 10 Tables, black and white; 44 Illustrations, black and white
  • Series: Monographs and Surveys in Pure and Applied Mathematics
  • Pub. Date: 24-Oct-2019
  • Publisher: Chapman & Hall/CRC
  • ISBN-10: 0367394170
  • ISBN-13: 9780367394172
Other books in subject:
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 ideas.

Reviews

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

"The mathematics of explosions has spawned many original ideas in the theory of nonlinear partial differential equations, and this book shows that it remains a very fruitful topic of study and research." -Zentralblatt MATH

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 Co-ordinates
153(10)
5.2 Exact Solutions of Gasdynamic Equations in Lagrangian Co-ordinates
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
Sachdev, P.L.