Free boundary, shock wave, reflection, diffraction, transonic flow. Shock wave reflection phenomenadownload free pdf ebooks online. Msc eng steady threedimensional shock wave reflection. When a shock wave, which is moving with a constant velocity, propagates over a solid wedge, the flow generated by the shock impinges on the wedge thus generating a second reflected shock, which ensures that the velocity of the flow is parallel to the wedge surface. Some aspects of the advances are particularly elaborated in accordance with the research focuses of shock wave reflection phenomena in the past decade. While passing through the incident shock wave, i, the oncoming flow is deflected by an angle. The book of shock wave reflection phenomena 1 gives a good summary of the possible shock wave configurations when a 2d shock wave reflects off a wall surface, for either a steady shock wave or a. Shock wave reflection phenomena pdf by gabi bendor. This paper treats the problem of the refraction of a shock wave at a gaseous.
A typical example is that of a supersonic body flying over a ground plane, in. American institute of aeronautics and astronautics 12700 sunrise valley drive, suite 200 reston, va 201915807 703. Dynamic shock wave reflection generated by a rapidly pitching wedge in a steady supersonic free stream have been studied with numerical simulation previously. A thesis submitted to the faculty of engineering and the built environment, university of the. Nov 18, 2006 read numerical simulations of shock wave reflection phenomena in nonstationary flows using regularized smoothed particle hydrodynamics rsph, shock waves on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. Pdf investigation of the hysteresis phenomena in steady. A moving shock wave may be transformed into a stationary shock wave by a relative coordinate transformation wherein the observer moves at the same velocity as the shock wave. Physics of wave phenomena ebook pdf download and read. This situation occurs when two incident shock waves induced by a double wedge reflect at the same point of the reflecting surface and when the downstream. It includes a thorough introduction to oblique shock wave reflections, dealing with both regular and mach types. The book moves on to describe reflection phenomena in a variety of.
This text describes shock wave reflection phenomena from a phenomenological point of view. For example, reection on curved surfaces has been recently studied to predict the behavior of aerodynamic strong shocks 9. In addition to the shock wave, there is another type of discontinuity termed a. The mach reflection of a converging cylindrical shock wave. The first part is a thorough introduction to oblique shock wave reflections, presenting the two major wellknown reflection wave configurations, namely, regular rr and mach mr reflections, the corresponding two and threeshock theories, their analytical and graphical solution and the proposed transition boundaries between these two. We use computational fluid dynamics to obtain the flow and then use shock theory to identify the reflection configuration. Shock wave reflection phenomena shock wave and high pressure. Shockwave reflection has in recent times been investigated as a threedimensional phenomenon where geometrical effects on the reflection patterns have been given more attention than previously. Numerous experimental investigations on the reflection of plane shock waves over straight wedges indicated that there is a domain, frequently referred to as the weak shock wave domain, inside which the resulted wave configurations resemble the wave configuration of a mach reflection although the classical threeshock theory does not provide an analytical solution. Two examples of reflection include light reflection in a mirror and sound reflection or echo.
Shock wave reflection phenomena book by gabi bendor 3. Outline of a theory of nonrankinehugoniot shock wave in. This book provides a comprehensive stateoftheknowledge description of the shock wave reflection phenomena from a phenomenological point of view. May 17, 2012 american institute of aeronautics and astronautics 12700 sunrise valley drive, suite 200 reston, va 201915807 703.
Different strengths of reflected shock wave after reflection from the shock reflectors of 49. Mach reflection subjected to the influence of an upstream shock wave from the same side is studied here. Shock wave reflection phenomena free ebook download as pdf file. Intended as both introduction and reference, this book will benefit scientists and engineers in shock wave related academic and industrial research and development, as. Organized in five parts, the book covers an introduction to oblique shock wave reflection and the governing equations of the two and threeshock theories. Numerical and theoretical analysis of shock waves interaction. The first part is a thorough introduction to oblique shock wave reflections. Irregular reflection, which is shown in the figure 1, is shock wave pattern that combines the incident is and reflected rs. The resulting stationary shock wave may, therefore, be analyzed as a steady state case 1. In his publication he presented two wave configurations that could result from this reflection process, a regular reflection rr and a configuration that was later named after him and called mach reflection mr in the. Pdf transition between regular and mach reflection of. Review of shock wave reflection phenomena, 2nd edition aiaa.
This paper publishes the development and design of an experimental facility to characterize these dynamic shock wave reflection phenomena. Reflection of a moving shock wave over an oblique shock. Shock wave reflection phenomena edition 2 by gabi bendor. Impact of roughness on shock wave reflection phenomena. The influence of the downstream pressure on the shock wave reflection phenomenon in steady flows. The combined reflection is also observed in the experiments. A numerical study of shock reflection phenomena in shock. Pdf a note on weak shock wave reflection francescamaria. They all meet at a single point known as the triple point, t. Its study was then abandoned for a period of about 60 years until its investigation was initiated in the early 1940s by. Shock wave and high pressure phenomena ser shock wave. Shock wave reflection is one of the most important fluid dynamic processes, which has been investigated rigorously over the past 80 years owing to its profound impact on fluid dynamic behaviour of supersonic and hypersonic flows.
Hysteresis phenomena in shock wave reflections in steady. Numerical simulations of shock wave reflection phenomena in. Blast waves shock wave and high pressure phenomena pdf, epub. Free boundary problems in shock reflection mathematical institute.
The reflection of a straight incident shock wave from a curved surface. The reflection of a curved incident shock wave from a curved surface. A study of the flow structure for mach reflection in steady supersonic. Shock interactions with solid bodies generate complex flow fields that involve several phenomena such as reflection, diffraction, shockboundary layer interaction. Explosion, shock wave and hypervelocity phenomena in materials ii. Shock wave reflection phenomena shock wave and high pressure phenomena kindle edition by bendor, gabi. Their statements being very clear and to the point, some of their more salient citations are. Mach reflection promoted by an upstream shock wave. The first part is a thorough introduction to oblique shock wave reflections, presenting the two major wellknown reflection wave configurations, namely, regular.
Aug 05, 20 reflection of a shock wave into a density gradient linear density variation from nonuniform flow behind shock wave. When relaxation phenomena are present, a shock wave actually reflects with a speed which varies during the time required for the reflected shock wave to travel through the nonuniform relaxation zone behind the incident shock wave. The fifth part is a detailed listing of the most relevant scientific papers and research reports that have been published so far in the field of shock wave reflection phenomena. The reflection of a curved incident shock wave from a straight surface. Although the phenomenon of shock wave reflection was discovered more than a hundred years ago, active research related to this phenomenon still goes on in many countries in the world e.
Shock wave reflection phenomena shock wave and high. Shock wave reflection phenomena gabi bendor springer. The mach reflection phenomenon a suggestion for an. Hysteresis is the major fluid dynamic phenomenon which is associated with the shock wave reflection which makes. The sonic line appears to coincide with the first mach wave from the upper corner expansion fan after. The shock wave reflection phenomenon can be divided into four categories. The latter consists of the incident wave and a reflected wave.
In this sense, scientists who are working in flow visualization of shock wave phenomena and try to study mach reflection may be called students of ernst mach. Hysteresis phenomena in the reflection of shock waves research. It also covers in detail the corresponding two and threeshock theories. Introductionfor a wedgegenerated oblique shock wave being reflected on the symmetry plane in a steady flow, two reflection types are possible see e. Sorry, we are unable to provide the full text but you may find it at the following locations. The first part is a thorough introduction to oblique shock wave reflections, presenting the two major wellknown reflection wave configurations. Mach reflection can exist in steady, pseudosteady and unsteady flows. Shock wave reflection phenomena by gabi bendor alibris. Numerical simulation and experimental validation of the.
Shocks are therefore a highly nonlinear phenomenon, and parameter changes may. Steady, pseudosteady and unsteady shock wave reflections. In particular, the singlemach reflection or mach reflection involves three shocks, it happens when the reflected shock front meets the incident. This book is a comprehensive stateoftheknowledge summation of shock wave reflection phenomena from a phenomenological point of view. It is worth mentioning that roughness is already known to perturb the dynamic of the uid for shock wave propagation inside ducts. The mach stem, m, is usually a curved shock wave which is perpendicular to the surface of the reflecting wedge at. Shock wave reflection phenomena shock wave mach number. Numerical study of tripleshockwave structure in steady.
The influence of the downstream pressure on the shock wave. With increase in angle, a critical value is reached beyond which the shock reflection is irregular. Stateoftheart in research on mach reflection of shock waves. Download it once and read it on your kindle device, pc, phones or tablets. Introduction a detailed discussion of the two shock wave reflection configurations which are possible in steady flows, i. The main feature herein is the existence of two possible configurations of shocks, regular and irregular.
Investigation of shock wave interactions involving stationary. The mach reflection mr consists of three shock waves, namely the incident shock wave, i, the reflected shock wave, r, and the mach stem, m, and also one slipstream, s. Shock wave reflection phenomena pdf telegraph bookshop. Oblique shockwave reflections are analyzed by means of expressions from the two and threeshock theories with illustrations of the transition boundaries from regular and mach reflection. The phenomenon of shock wave reflection was first reported by the distinguished philosopher ernst mach in 1878. The reflection of oblique shock waves has been the subject of numerous experimental, analytical and numerical studies in the past five decades. An oblique shock wave is produced as an airplane flies supersonically in the air. The distinguished philosopher ernst mach published the first known paper on the phenomenon of planar shockwave reflections over straight wedges over 125 years ago in 1878. A typical example is that of a supersonic body flying over a ground plane, in which the bow wave reflects off the ground surface. Aug 28, 2007 this book is a comprehensive stateoftheknowledge summation of shock wave reflection phenomena from a phenomenological point of view. Use features like bookmarks, note taking and highlighting while reading shock wave reflection phenomena shock wave and high pressure phenomena. Shock wave reflection phenomena aerospace research central. Many interesting phenomena that occur in oblique shock wave reflection have been discovered in the past.
Explosion, shock wave and hypervelocity phenomena in. In 1994, tabak and rosales 19 endeavoured to solve the inviscid flow equations numerically. Analyses of the hazardous effect generated by the shock wave are done primarily by experiments and numerical methods to study the physical phenomenon of the explosion, and to develop techniques capable of predicting the shock wave. Shock waves 19, 95102 2009 to point d and do not affect the reflection pattern close to the triple 14. Reconsideration of oblique shock wave reflections in steady. After that point, the incident shock wave pressure actually begins to decay at a slower rate in the tail of the shock wave.
You are able to see yourself in a mirror because light rays bounce off you, hit the mirror, and reflect back to your eyes. Effects of laser energy deposition on the transition characteristics. The first part is a thorough introduction to oblique shock wave reflections, presenting the two major wellknown reflection wave configurations, namely, regular rr and mach mr reflections, the. Reflection is a bouncing back of a wave off a boundary. Highspeed imaging of dynamic shock wave reflection phenomena. The shock reflection phenomenon is closely related to the oblique shock waves. Blast waves shock wave and high pressure phenomena pdf. Fundamentals of shock wave propagation in solids l. Here for tnt, the relationship of peak shock wave pressure, p0, and shock wave severity, w r, is given as a power function.
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