An Experimental Investigation of Shock-wave Diffraction Over Compression and Expansion Corners

An Experimental Investigation of Shock-wave Diffraction Over Compression and Expansion Corners
Author: University of Toronto. Institute for Aerospace Studies
Publisher:
Total Pages: 93
Release: 1968
Genre: Shock waves
ISBN:

The dynamical behaviour of shock waves at high Mach numbers in dissociated oxygen, during a sequence consisting of a diffraction over a compression corner, the subsequent motion through a constant area tube and a final diffraction over an expansion corner is described in some detail. This type of configuration is required to generate a corner-expansion flow over a wall model in a shock tube by means of a liner. The diffraction over the compression corner was found to yield an interesting irregular Mach reflection phenomenon, brought about by a substantial modification of the flow pattern through the internal energies connected with the high density ratios obtained. The initial diffraction results in a strong distortion of the shock front. Some aspects of the subsequent decay of this disturbance towards the stable i.e., plane configuration were investigated. It was found that a very pronounced decrease in stability occurs at high Mach numbers, illustrated by a slow decrease of the axial extent of the shock shapes. Some evidence was obtained in support of the observations made by Bowman on the existence of two distinct shock-distortion regimes. The investigation of the expansion-corner flows were mainly concerned with the effects of the shock distortion on the flow uniformity in cases where the disturbances had not yet fully decayed on arrival at the corner, for example, in some of the recent corner-expansion work done by Drewry. A qualitative assessment shows that the disturbing influence on that investigation was minor. The repercussion on future corner-expansion work in ionized argon was shown to be even less. (Author).

Shock Waves @ Marseille IV

Shock Waves @ Marseille IV
Author: Raymond Brun
Publisher: Springer Science & Business Media
Total Pages: 508
Release: 2012-12-06
Genre: Science
ISBN: 3642795323

Recently, there have been significant advances in the fields of high-enthalpy hypersonic flows, high-temperature gas physics, and chemistry shock propagation in various media, industrial and medical applications of shock waves, and shock-tube technology. This series contains all the papers and lectures of the 19th International Symposium on Shock Waves held in Marseille in 1993. They are published in four topical volumes, each containing papers on related topics, and preceded by an overview written by a leading international expert. The volumes may be purchased independently.

Visualization of Shock Wave Phenomena

Visualization of Shock Wave Phenomena
Author: Kazuyoshi Takayama
Publisher: Springer
Total Pages: 719
Release: 2019-07-03
Genre: Science
ISBN: 3030194515

This book presents a wealth of images of shock wave phenomena, gathered by the author over the past 40 years. Shadowgrams and interferograms of basic shock-dynamic topics such as reflection, diffraction, refraction, and focusing of shock waves in gases and liquids are sequentially displayed. Though the images themselves are self-explanatory, brief explanations of the experimental conditions are included, so as to facilitate analysis and numerical reproduction of the image data. In addition, the book presents interferometric observations of underwater shock wave/bubble interactions, and highlights the multifaceted applications of shock wave phenomena to medicine and industry. Given its scope, the book offers a unique resource for students and researchers who are interested in shock wave phenomena. However, the content has also been specifically prepared for the benefit of readers who are interested in gas dynamics and medical applications of shock waves, and are looking for reliable experimental images.

Diffraction of Strong Shock Waves by a Sharp Compressive Corner

Diffraction of Strong Shock Waves by a Sharp Compressive Corner
Author: C. K. Law
Publisher:
Total Pages: 95
Release: 1970
Genre: Shock waves
ISBN:

The diffraction of strong shock waves in oxygen, in dissociation equilibrium, by a sharp compressive corner was investigated both theoretically and experimentally. The continuous curvature of the reflected shock wave R, for usual Mach reflection, changes when the pressure behind the bow shock generated by the wedge exceed that behind R. The appearance of a second triple shock system in irregular Mach reflection can be predicted from usual gasdynamic considerations without requirements from chemical kinetics. The location of the point where R kinks was also predicted. The above predictions are supported by the experimental results. The relative velocity between the first and second triple points can also be found, making it possible to do a useful analysis of conditions near the second triple point. Diffraction patterns for different gases (O2, N2, A and CO2) were investigated. An approximate solution was obtained from the first triple point trajectory angle as a function of incident shock Mach number and the wedge angle for dissociated oxygen. With the exception of small wedge angles and strong incident shocks, the agreement with experiment is good. Some reasons for the disagreement are given. An analysis was also made for oblique shock wave relations with imperfect gas effects (vibration and dissociation) including a two-shock confluence (regular reflection) and a three-shock confluence (Mach reflection). (Author).

Propagation and Reflection of Shock Waves

Propagation and Reflection of Shock Waves
Author: Fedor Vasil?evich Shugaev
Publisher: World Scientific
Total Pages: 264
Release: 1998
Genre: Science
ISBN: 9789810230104

This volume deals with the propagation of three-dimensional shock waves and their reflection from curved walls. It is divided into two parts. The first part presents a ray method. This is based on the expansion of fluid properties in power series at an arbitrary point on the shock front. Continuous fractions are used. Results for shock propagation in non-uniform fluids are given.The second part discusses the shock reflection from a concave body. The important shock-focusing problem is included. The work is supported by both numerical and experimental results. Many interesting features, such as formation of a jet, vortices and the appearance of disturbances on the shock front, are discussed.Besides shock waves in gases, the distinctive features of shock propagation through a weakly ionized plasma are considered.

Shock Wave Compression of Condensed Matter

Shock Wave Compression of Condensed Matter
Author: Jerry W Forbes
Publisher: Springer Science & Business Media
Total Pages: 388
Release: 2013-02-01
Genre: Science
ISBN: 3642325351

This book introduces the core concepts of the shock wave physics of condensed matter, taking a continuum mechanics approach to examine liquids and isotropic solids. The text primarily focuses on one-dimensional uniaxial compression in order to show the key features of condensed matter’s response to shock wave loading. The first four chapters are specifically designed to quickly familiarize physical scientists and engineers with how shock waves interact with other shock waves or material boundaries, as well as to allow readers to better understand shock wave literature, use basic data analysis techniques, and design simple 1-D shock wave experiments. This is achieved by first presenting the steady one-dimensional strain conservation laws using shock wave impedance matching, which insures conservation of mass, momentum and energy. Here, the initial emphasis is on the meaning of shock wave and mass velocities in a laboratory coordinate system. An overview of basic experimental techniques for measuring pressure, shock velocity, mass velocity, compression and internal energy of steady 1-D shock waves is then presented. In the second part of the book, more advanced topics are progressively introduced: thermodynamic surfaces are used to describe equilibrium flow behavior, first-order Maxwell solid models are used to describe time-dependent flow behavior, descriptions of detonation shock waves in ideal and non-ideal explosives are provided, and lastly, a select group of current issues in shock wave physics are discussed in the final chapter.

The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures

The Mathematics of Shock Reflection-Diffraction and von Neumann's Conjectures
Author: Gui-Qiang G Chen
Publisher: Princeton University Press
Total Pages: 829
Release: 2018-02-27
Genre: Mathematics
ISBN: 0691160554

This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development. Shock waves are fundamental in nature. They are governed by the Euler equations or their variants, generally in the form of nonlinear conservation laws—PDEs of divergence form. When a shock hits an obstacle, shock reflection-diffraction configurations take shape. To understand the fundamental issues involved, such as the structure and transition criteria of different configuration patterns, it is essential to establish the global existence, regularity, and structural stability of shock reflection-diffraction solutions. This involves dealing with several core difficulties in the analysis of nonlinear PDEs—mixed type, free boundaries, and corner singularities—that also arise in fundamental problems in diverse areas such as continuum mechanics, differential geometry, mathematical physics, and materials science. Presenting recently developed approaches and techniques, which will be useful for solving problems with similar difficulties, this book opens up new research opportunities.