Hypersonic Inviscid Flow

Overview

This treatment of the branch of fluid mechanics known as hypersonic inviscid flow offers a self-contained, unified view of nonequilibrium effects, body geometries, and similitudes available in hypersonic flow and thin shock layer theory. Seeking to cultivate readers' appreciation of theory, the text avoids empirical approaches and focuses on basic theory and related fundamental concepts.
Contents include introductory materials and chapters on small-disturbance theory, Newtonian ...

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Hypersonic Inviscid Flow

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Overview

This treatment of the branch of fluid mechanics known as hypersonic inviscid flow offers a self-contained, unified view of nonequilibrium effects, body geometries, and similitudes available in hypersonic flow and thin shock layer theory. Seeking to cultivate readers' appreciation of theory, the text avoids empirical approaches and focuses on basic theory and related fundamental concepts.
Contents include introductory materials and chapters on small-disturbance theory, Newtonian theory, constant-density solutions, the theory of thin shock layers, numerical methods for blunt-body flows, and other methods for locally supersonic flows.
Geared toward the needs of students and researchers in the field of modern gas dynamics and those of hypersonic aerodynamics, this text is appropriate for graduate-level courses in hyspersonic flow theory as well as courses dealing with compressible flow. 1966 edition.

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Product Details

  • ISBN-13: 9780486432816
  • Publisher: Dover Publications
  • Publication date: 1/19/2004
  • Series: Dover Books on Physics
  • Edition number: 2
  • Pages: 624
  • Product dimensions: 6.10 (w) x 9.20 (h) x 1.30 (d)

Meet the Author

Son of a Gambling Man
Ronald F. Probstein, Ford Professor of Engineering, Emeritus, at the Massachusetts Institute of Technology has had a long career in engineering research and has made significant contributions in many areas from ballistic missile design, to hypersonic flight theory, to the field of synthetic fuels, a subject of obvious importance to everyone. His 1959 book, Hypersonic Flow Theory, co-authored with Wallace D. Hayes, and reprinted by Dover in 2004 as Hypersonic Inviscid Flow, is still the basic book on this subject. Synthetic Fuels, written with R. Edwin Hicks, is certainly one of the most important and timely engineering texts ever reprinted by Dover.

In addition to their own writings, Probstein and Hayes edited the English translation of a major text by two distinguished Russian physicists, Ya. B. Zel'dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena.  

However, Dr. Probstein's literary legacy isn't all about hard science. In 2009 he published an evocatively entertaining memoir of his father and their life in Depression-era New York, Honest Sid: Memoir of a Gambling Man. Even though not a Dover book, it is certainly highly recommended.

Critical Acclaim for Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena:
"The republication by Dover Publications of this masterwork by Ya. B. Zel'dovich and Yu. P. Raizer will be welcomed by all workers dealing with high-temperature (radiating) flows. This book is a virtual 'bible' for studies of shocks and radiation fronts in high speed aeronautics, astronautics (re-entry), astrophysics, fireballs, shock tubes, and very intense explosions.

Zel'dovich was a physicist of extraordinary breadth of interests. The style of this book is to give heuristic explanations followed by rigorous analysis. It is insightful for both beginning students and researchers in the field. This book is an ABSOLUTE MUST for anyone working on the subjects listed above."

"I URGE anyone working in astrophysics and high-temperature flow physics to buy, read, enjoy, and be enlightened by this masterpiece." — Dimitri Mihalas, co-author of Foundations of Radiation Hydrodynamics

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Table of Contents

Preface to the Dover Edition VII
Preface to Volume I IX
Preface to the First Edition XI
Erratum XIX
I. General Considerations
1.1 Introductory remarks 1
1.2 General features of hypersonic flow fields 3
1.3 Assumptions underlying inviscid hypersonic theory 8
1.4 The normal shock wave 11
1.5 Oblique and curved shocks 21
1.6 Mach number independence principle 24
1.7 General strip theory 26
1.8 Dissipative effects 28
II. Small-Disturbance Theory
2.1 Introduction and basic equations 32
2.2 Hypersonic similitude 39
2.3 Unified supersonic-hypersonic similitude 45
2.4 Slender-body strip theory 47
2.5 Examples of small-disturbance solutions 50
2.6 Similar power-law solutions 55
2.7 Application of similar solutions to steady flows 74
2.8 Slightly blunted slender bodies 92
2.9 Large incidence and correlation of similitudes 103
2.10 Unsteady flow theory 113
2.11 Nonequilibrium effects 116
III. Newtonian Theory
3.1 The gasdynamics of Sir Isaac Newton 129
3.2 Two-dimensional and axisymmetric bodies 133
3.3 Simple shapes and free layers 139
3.4 Optimum shapes 152
3.5 Shock layer structure and cross flow phenomena 169
3.6 Shock layer structure with cross flow 179
3.7 Conical flow 190
3.8 Bodies of revolution at small incidence 201
3.9 Unsteady flow 206
IV. Constant-Density Solutions
4.1 The wedge 217
4.2 The cone 224
4.3 Circular cylinder 232
4.4 The sphere 245
4.5 Solutions with cross flow 254
V. The Theory of Thin Shock Layers
5.1 Basic concepts 264
5.2 Successive approximation schemes 272
5.3 Constant-streamtube-area approximation 280
5.4 Two-dimensional and axisymmetric blunt-faced bodies 298
5.5 Quasi wedges and quasi cones 320
5.6 Conical bodies 323
5.7 General blunt-faced bodies and related similitudes 342
5.8 Integral methods 355
5.9 Newtonian separation 366
5.10 Nonequilibrium flows 380
VI. Numerical Methods for Blunt-Body Flows
6.1 Nature of the problem 391
6.2 Streamtube-continuity methods 402
6.3 Method of integral relations and polynomial approximation 407
6.4 Relaxation techniques and the unsteady approach method 438
6.5 The inverse problem 448
6.6 Procedures with nonequilibrium 472
VII. Other Methods for Locally Supersonic Flows
7.1 Method of characteristics 480
7.2 Shock-expansion theory 497
7.3 Tangent-wedge and tangent-cone 522
7.4 Conical flows 526
7.5 Nonequilibrium flows 536
Cited References 545
Symbol Index 575
Author Index 587
Subject Index 592
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