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Author: A L Fabrikant Publisher: World Scientific ISBN: 981450128X Category : Science Languages : en Pages : 304
Book Description
The state of the art in a theory of oscillatory and wave phenomena in hydrodynamical flows is presented in this book. A unified approach is used for waves of different physical origins. A characteristic feature of this approach is that hydrodynamical phenomena are considered in terms of physics; that is, the complement of the conventionally employed formal mathematical approach. Some physical concepts such as wave energy and momentum in a moving fluid are analysed, taking into account induced mean flow. The physical mechanisms responsible for hydrodynamic instability of shear flows are considered within the concept of negative energy waves. The phenomenon of over-reflection is analysed. A number of well-known theorems of the hydrodynamic theory of stability are interpreted in terms of the interaction of the waves having different energy signs. Attention is drawn to the plasma-hydrodynamic analogy, which is a powerful tool for physical analyses of general mechanisms of wave amplification and absorption in flows. Various wave-flow interaction problems are considered, for instance, sound generation in whistlers, wave scattering and amplification by vortices, methods of wave remote sounding, and some nonlinear dynamical and chaotic phenomena. The book is intended for researchers specializing in wave theory, aeroacoustics, geophysical and astrophysical fluid dynamics, and related fields. It may also be useful to graduate and post-graduate students as a supplement to standard lecture courses. Contents:Wave Energy and Momentum in a Moving MediumWave Generation by Unstable Shear FlowsPiecewise-Linear Models of FlowsOver-ReflectionResonant Wave–Flow InteractionOscillatory Systems with Hydrodynamic FlowsWaves on Concentrated VorticesRemote Wave Sensing of Moving VorticesBibliography Readership: Nonlinear scientists, researchers in wave theory, fluid dynamics and related fields. keywords:Stratified Shear Flows;Hydrodynamic Instabilities;Wave Energy and Momentum;Negative Energy Waves;Wave-Current Interaction. Over-Reflection;Plasma-Hydrodynamic Analogy;Wind Waves;Solitons;Concentrated Vortices;Resonance Interaction;Critical Layer;Whistle;Vortex Sheet;Rossby Waves;Internal Gravity Waves;Sound Scattering;Aerodynamic Generation of Sound “… will be most useful as a reference … it is well written and substantially free of typographic mistakes.” Applied Mechanics Reviews
Author: A L Fabrikant Publisher: World Scientific ISBN: 981450128X Category : Science Languages : en Pages : 304
Book Description
The state of the art in a theory of oscillatory and wave phenomena in hydrodynamical flows is presented in this book. A unified approach is used for waves of different physical origins. A characteristic feature of this approach is that hydrodynamical phenomena are considered in terms of physics; that is, the complement of the conventionally employed formal mathematical approach. Some physical concepts such as wave energy and momentum in a moving fluid are analysed, taking into account induced mean flow. The physical mechanisms responsible for hydrodynamic instability of shear flows are considered within the concept of negative energy waves. The phenomenon of over-reflection is analysed. A number of well-known theorems of the hydrodynamic theory of stability are interpreted in terms of the interaction of the waves having different energy signs. Attention is drawn to the plasma-hydrodynamic analogy, which is a powerful tool for physical analyses of general mechanisms of wave amplification and absorption in flows. Various wave-flow interaction problems are considered, for instance, sound generation in whistlers, wave scattering and amplification by vortices, methods of wave remote sounding, and some nonlinear dynamical and chaotic phenomena. The book is intended for researchers specializing in wave theory, aeroacoustics, geophysical and astrophysical fluid dynamics, and related fields. It may also be useful to graduate and post-graduate students as a supplement to standard lecture courses. Contents:Wave Energy and Momentum in a Moving MediumWave Generation by Unstable Shear FlowsPiecewise-Linear Models of FlowsOver-ReflectionResonant Wave–Flow InteractionOscillatory Systems with Hydrodynamic FlowsWaves on Concentrated VorticesRemote Wave Sensing of Moving VorticesBibliography Readership: Nonlinear scientists, researchers in wave theory, fluid dynamics and related fields. keywords:Stratified Shear Flows;Hydrodynamic Instabilities;Wave Energy and Momentum;Negative Energy Waves;Wave-Current Interaction. Over-Reflection;Plasma-Hydrodynamic Analogy;Wind Waves;Solitons;Concentrated Vortices;Resonance Interaction;Critical Layer;Whistle;Vortex Sheet;Rossby Waves;Internal Gravity Waves;Sound Scattering;Aerodynamic Generation of Sound “… will be most useful as a reference … it is well written and substantially free of typographic mistakes.” Applied Mechanics Reviews
Author: Anatoli? L?vovich Fabrikant Publisher: World Scientific ISBN: 9789810220525 Category : Science Languages : en Pages : 308
Book Description
A number of well-known theorems of the hydrodynamic theory of stability are interpreted in terms of the interaction of the waves having different energy signs. Attention is drawn to the plasma-hydrodynamic analogy, which is a powerful tool for physical analyses of general mechanisms of wave amplification and absorption in flows. Various wave-flow interaction problems are considered, for instance, sound generation in whistlers, wave scattering and amplification by vortices, methods of wave remote sounding, and some nonlinear dynamical and chaotic phenomena.
Author: Andrey V. Boiko Publisher: Springer Science & Business Media ISBN: 9400724985 Category : Science Languages : en Pages : 272
Book Description
Starting from fundamentals of classical stability theory, an overview is given of the transition phenomena in subsonic, wall-bounded shear flows. At first, the consideration focuses on elementary small-amplitude velocity perturbations of laminar shear layers, i.e. instability waves, in the simplest canonical configurations of a plane channel flow and a flat-plate boundary layer. Then the linear stability problem is expanded to include the effects of pressure gradients, flow curvature, boundary-layer separation, wall compliance, etc. related to applications. Beyond the amplification of instability waves is the non-modal growth of local stationary and non-stationary shear flow perturbations which are discussed as well. The volume continues with the key aspect of the transition process, that is, receptivity of convectively unstable shear layers to external perturbations, summarizing main paths of the excitation of laminar flow disturbances. The remainder of the book addresses the instability phenomena found at late stages of transition. These include secondary instabilities and nonlinear features of boundary-layer perturbations that lead to the final breakdown to turbulence. Thus, the reader is provided with a step-by-step approach that covers the milestones and recent advances in the laminar-turbulent transition. Special aspects of instability and transition are discussed through the book and are intended for research scientists, while the main target of the book is the student in the fundamentals of fluid mechanics. Computational guides, recommended exercises, and PowerPoint multimedia notes based on results of real scientific experiments supplement the monograph. These are especially helpful for the neophyte to obtain a solid foundation in hydrodynamic stability. To access the supplementary material go to extras.springer.com and type in the ISBN for this volume.
Author: M. Kelbert Publisher: Springer Science & Business Media ISBN: 9401586446 Category : Technology & Engineering Languages : en Pages : 235
Book Description
The subject of wave phenomena is well-known for its inter-disciplinary nature. Progress in this field has been made both through the desire to solve very practical problems, arising in acoustics, optics, radiophysics, electronics, oceanography, me teorology and so on, and through the development of mathematical physics which emphasized that completely different physical phenomena are governed by the same (or similar) equations. In the immense literature on physics of waves there is no lack of good presentations of particular branches or general textbooks on mathematical physics. But if one restricts the attention to pulse propagation phenomena, one no tices that many useful facts are scattered among the various books and journals, and their connections are not immediately apparent. For example, the problems involv ing acoustic pulse propagation in bubbly liquids and those related to electromagnetic pulses in resonant media are usually treated without much cross reference in spite of their obvious connections. The authors of this book have attempted to write a coherent account of a few pulse propagation problems selected from different branches of applied physics. Although the basic material on linear pulse propagation is included, some topics have their own unique twists, and a comprehensive treatment of this body of material can hardly be found in other sources. First of all, the problem of pulse propagation in non equilibrium media (unstable or admitting attenuation) is far more delicate than it is apparent at a first glance.
Author: Oliver Bühler Publisher: Cambridge University Press ISBN: 1107783216 Category : Science Languages : en Pages : 377
Book Description
Interactions between waves and mean flows play a crucial role in understanding the long-term aspects of atmospheric and oceanographic modelling. Indeed, our ability to predict climate change hinges on our ability to model waves accurately. This book gives a modern account of the nonlinear interactions between waves and mean flows, such as shear flows and vortices. A detailed account of the theory of linear dispersive waves in moving media is followed by a thorough introduction to classical wave-mean interaction theory. The author then extends the scope of the classical theory and lifts its restriction to zonally symmetric mean flows. It can be used as a fundamental reference, a course text, or by geophysicists and physicists needing a first introduction. This second edition includes brand new material, including a section on Langmuir circulations and the Craik–Leibovich instability. The author has also added exercises to aid students' learning.
Author: Alex D. D. Craik Publisher: Cambridge University Press ISBN: 9780521368292 Category : Mathematics Languages : en Pages : 340
Book Description
Wave Interactions and Fluid Flows is a coherent, up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena, both in fluids at rest and in shear flows. On the one hand, this includes water waves, internal waves, their evolution and interaction and associated wave-driven mean flows; on the other, phenomena of nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. Close similarities - and crucial differences - exist between these two classes of phenomena and their treatment in this single study provides a particularly valuable bridge between more specialised, but related, disciplines. As a result, this unique book will appeal to researchers and graduate students of fluid mechanics in its widest sense, including the study of wave-interaction phenomena in such diverse fields as meteorology, aeronautical and hydraulic engineering, optics, solar physics and population dynamics. Dr Craik is an active researcher of long-standing at the University of St Andrews and has wide experience in the field of fluid mechanics.
Author: Jeffrey M. Forbes Publisher: ISBN: Category : Equations of motion Languages : en Pages : 32
Book Description
The dispersion relation is derived for the ensemble-averaged wave in a Boussinesq fluid with a weak random vertical shear. The basic flow is assumed to be statistically homogeneous in space and time with zero mean. The phase velocity and decay rate are found for the two limiting cases where the wavelength is much greater and much smaller than the correlation length of the basic flow speeds. The decay rate is found to increase as the direction of propagation becomes more horizontal. However, the maximum decrease in phase velocity is found to occur when the wave is propagating at an angle of 50 degrees to the horizontal. These results are compared to those previously published (Keller and Veronis, 1969) for the analagous problem of Rossby waves propagating in the presence of random zonal currents that vary with latitude. (Author).
Author: Yu.Z. Miropol'sky Publisher: Springer Science & Business Media ISBN: 9401713251 Category : Science Languages : en Pages : 413
Book Description
This monograph creates a systematic interpretation of the theoretical and the most actual experimental aspects of the internal wave dynamics in the ocean. Firstly, it draws attention to the important physical effects from an oceanographical point of view which are presented in mathematical descriptions. Secondly, the book serves as an introduction to the range of modern ideas and the methods in the study of wave processes in dispersive media. The book is meant for specialists in physics of the ocean, oceanography, geophysics, hydroacoustics.
Author: A L Fabrikant
Author: A L Fabrikant
Author: Anatolii Lʹvovich Fabrikant
Author: Anatoli? L?vovich Fabrikant
Author: Andrey V. Boiko
Author: M. Kelbert
Author: Oliver Bühler
Author: Alex D. D. Craik
Author: Jeffrey M. Forbes
Author: Miguel Folkmar Larsen
Author: Yu.Z. Miropol'sky