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Propagation Of Internal Waves In Shear Flows
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Book Synopsis Propagation of Waves in Shear Flows by : Anatoli? L?vovich Fabrikant
Download or read book Propagation of Waves in Shear Flows written by Anatoli? L?vovich Fabrikant and published by World Scientific. This book was released on 1998 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Propagation of Internal Waves in Shear Flows by : William Tsui
Download or read book Propagation of Internal Waves in Shear Flows written by William Tsui and published by . This book was released on 1985 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Dynamics of Internal Gravity Waves in the Ocean by : Yu.Z. Miropol'sky
Download or read book Dynamics of Internal Gravity Waves in the Ocean written by Yu.Z. Miropol'sky and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Propagation Of Waves In Shear Flows by : A L Fabrikant
Download or read book Propagation Of Waves In Shear Flows written by A L Fabrikant and published by World Scientific. This book was released on 1998-10-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Propagation of Waves in Shear Flows by : Anatolii Lʹvovich Fabrikant
Download or read book Propagation of Waves in Shear Flows written by Anatolii Lʹvovich Fabrikant and published by . This book was released on 1998 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Internal Gravity Waves by : Bruce R. Sutherland
Download or read book Internal Gravity Waves written by Bruce R. Sutherland and published by Cambridge University Press. This book was released on 2010-09-02 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of internal gravity waves provides many challenges: they move along interfaces as well as in fully three-dimensional space, at relatively fast temporal and small spatial scales, making them difficult to observe and resolve in weather and climate models. Solving the equations describing their evolution poses various mathematical challenges associated with singular boundary value problems and large amplitude dynamics. This book provides the first comprehensive treatment of the theory for small and large amplitude internal gravity waves. Over 120 schematics, numerical simulations and laboratory images illustrate the theory and mathematical techniques, and 130 exercises enable the reader to apply their understanding of the theory. This is an invaluable single resource for academic researchers and graduate students studying the motion of waves within the atmosphere and ocean, and also mathematicians, physicists and engineers interested in the properties of propagating, growing and breaking waves.
Book Synopsis Propagation of Internal Gravity Waves in a Medium of Weak Random Vertical Shear by : Jeffrey M. Forbes
Download or read book Propagation of Internal Gravity Waves in a Medium of Weak Random Vertical Shear written by Jeffrey M. Forbes and published by . This book was released on 1973 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Book Synopsis Pulses and Other Wave Processes in Fluids by : M. Kelbert
Download or read book Pulses and Other Wave Processes in Fluids written by M. Kelbert and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Internal Waves in a Two-layer Shear Flow by : V. Artale
Download or read book Internal Waves in a Two-layer Shear Flow written by V. Artale and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Interaction of Short-wavelength Internal Waves with a Background Current by : Dave Broutman
Download or read book The Interaction of Short-wavelength Internal Waves with a Background Current written by Dave Broutman and published by . This book was released on 1982 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two approaches are used to explore the effects of shear on short-wavelength internal waves. In the first, the Taylor-Goldstein equation is solved exactly. The solutions reveal the inaccuracy of WKB predictions when applied to a curved velocity profile with a minimum Richardson number of order unity. To investigate internal waves in an inertial current, ray calculations are made. This second approach reveals that the process of refractive convergence, which includes the critical-layer interaction as a special case, operates at virtually all phases of the inertial oscillation and affects short waves of nearly al frequencies. It is also found, in contrast to the results of steady shear analyses, that short waves with phase speeds less that the mean flow maximum can propagate for several inertial periods without becoming unstable, and conversely that waves with initial phase speeds of two or three times the mean flow maximum can quickly become focussed to unstably high amplitudes. The final section examines the mean flow induced by three-dimensional, low-frequency, internal wave packets. Rotation alters the character of the flow so that the mean momentum is not equal to E/c, where c is the horizontal phase speed of the short waves and E is the intrinsic energy density. The generation of inertial waves by the internal wave field as found by Hasselmann (1970) for a wave field that is statistically homogeneous in the horizontal, is not predicted by a calculation that incorporates horizontal variations.
Book Synopsis Internal Waves in the Ocean by : Marek Stastna
Download or read book Internal Waves in the Ocean written by Marek Stastna and published by Springer Nature. This book was released on 2022-06-16 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a concise overview of nonlinear internal wave theory. It serves as a self-contained reference for both students of mathematics as well as scientific professionals by presenting the material in two parts, isolating the narrative analysis from the mathematical detail. This unique format allows the text to remain accessible to oceanographers and researchers outside of mathematics by presenting a range of relevant theories on their own terms. Conversely, it enables applied mathematicians to understand how the conversation between mathematics and sciences proceeds in a field that has developed through a combination of the two. In addition, the text is supplemented by hands-on Matlab software, as the book incorporates a collection of working codes that enable readers to reproduce all theoretical figures in the text, with modification potential to fit a range of applications including a number of mini-projects outlined throughout the text.
Book Synopsis PROPAGATION OF NONLINEAR WAVES by : Wing-Chiu Derek Lai
Download or read book PROPAGATION OF NONLINEAR WAVES written by Wing-Chiu Derek Lai and published by Open Dissertation Press. This book was released on 2017-01-27 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "The Propagation of Nonlinear Waves in Layered and Stratified Fluids" by Wing-chiu, Derek, Lai, 黎永釗, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of the thesis entitled THE PROPAGATION OF NONLINEAR WAVES IN LAYERED AND STRATIFIED FLUIDS submitted by Derek Wing-Chiu Lai for the degree of Doctor of Philosophy at the University of Hong Kong in April 2001 In this thesis the propagation of nonlinear waves in layered and stratified fluids is investigated. In the first part of this research, "unconventional" solitary waves are obtained and their interactions are investigated by the Hirota bilinear transformation. Such solitary waves are "unconventional" because they can be expressed analytically as some mixed exponential - algebraic expressions. Furthermore, the separation of the crests goes like a logarithm, rather than a linear function, in the time scale. In a proper frame of reference these unconventional solitary waves are usually counterpropagating waves. These counterpropagating waves and their interactions are investigated for several nonlinear evolution equations which are of fluid dynamical interests. Firstly, 2- and 3-soliton expansions are obtained for the Manakov system, a coupled set of nonlinear Schrodinger equations arising from the propagation of multiphase modes when the group velocity projections overlap. A pair of counterpropagating waves is observed if the technique of "merger" of the wavenumbers is performed for a 2-soliton expansion, and the separation of the crests goes like a i logarithm in time. Furthermore, temporal modulation of the amplitude is observed if the same technique is applied to a 3-soliton expansion. A similar procedure is then applied to the (2+1)-dimensional (2 spatial and 1 temporal dimensions) long wave-short wave resonance interaction equations in a two-layer fluid. Such long-short resonance interactions can be considered as a degenerate case of triad resonance. The required condition is that the phase velocity of the long wave matches the group velocity of the short wave. The "merger" technique can also be extended to the dromion solutions. Dromions are exact, localized solutions of (2 + 1) (2 spatial and 1 temporal) dimensions that decay exponentially in all directions. In a two-layer fluid the modified Korteweg-de Vries (mKdV) systems will be the governing equation if the quadratic nonlinearity vanishes. The required condition for the case of irrotational flow is that the density ratio is approximately equal to the square of the depth ratio. Under the irrotational flow assumption only the mKdV systems with the cubic nonlinear and the dispersive terms of opposite signs (mKdV-) exist. Our contribution here is to investigate the wave propagation in a two- layer fluid with shear flows in order to demonstrate the existence of mKdV systems with the cubic nonlinear and the dispersive terms of the same sign (mKdV+). A class of counterpropagating waves and their interactions are studied for the mKdV+. From the perspective of fluid dynamics the propagation of nonlinear waves in the first part of this research is considered in the ii weakly nonlinear regime. In the second part of this research fully nonlinear internal solitary waves in stratified fluids are calculated. Such internal waves for the exponential and linear density profiles are obtained by computing the higher order terms in an asymptotic expansion where the Boussinesq and long wave parameters are comparably small. With increasing amplitude the wavelength of the solitary waves generally decreases and
Book Synopsis Small-Scale Turbulence and Mixing in the Ocean by : J.C.J. Nihoul
Download or read book Small-Scale Turbulence and Mixing in the Ocean written by J.C.J. Nihoul and published by Elsevier. This book was released on 1988-05-01 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 19th International Liège Colloquium on Ocean Hydrodynamics, the programme of which focused on the relationships between small-scale mixing and large-scale features, transports and processes. The presentation of papers on various methods of parameterization of small-scale turbulent mixing for numerical ocean models was particularly encouraged and this resulted in more than a third of the papers presented at the Colloquium dealing in one way or another with the parameterization problems; many of these papers demonstrate the direct results of modelling. These proportions are well reflected in this volume of proceedings and thus emphasize once more the importance of small-scale turbulence research for such vital practical applications as ocean modelling and forecasting.
Book Synopsis Wave Interactions and Fluid Flows by : Alex D. D. Craik
Download or read book Wave Interactions and Fluid Flows written by Alex D. D. Craik and published by Cambridge University Press. This book was released on 1988-07-07 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This up-to-date and comprehensive account of theory and experiment on wave-interaction phenomena covers fluids both at rest and in their shear flows. It includes, on the one hand, water waves, internal waves, and their evolution, interaction, and associated wave-driven means flow and, on the other hand, phenomena on nonlinear hydrodynamic stability, especially those leading to the onset of turbulence. This study provide a particularly valuable bridge between these two similar, yet different, classes of phenomena. It will be of value to oceanographers, meteorologists, and those working in fluid mechanics, atmospheric and planetary physics, plasma physics, aeronautics, and geophysical and astrophysical fluid dynamics.
Book Synopsis Observations of Short Period Internal Waves Generated by Shear Flow Instability by : George Thomas KAYE
Download or read book Observations of Short Period Internal Waves Generated by Shear Flow Instability written by George Thomas KAYE and published by . This book was released on 1974 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ocean Mixing written by Michael Meredith and published by Elsevier. This book was released on 2021-09-16 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ocean Mixing: Drivers, Mechanisms and Impacts presents a broad panorama of one of the most rapidly-developing areas of marine science. It highlights the state-of-the-art concerning knowledge of the causes of ocean mixing, and a perspective on the implications for ocean circulation, climate, biogeochemistry and the marine ecosystem. This edited volume places a particular emphasis on elucidating the key future questions relating to ocean mixing, and emerging ideas and activities to address them, including innovative technology developments and advances in methodology. Ocean Mixing is a key reference for those entering the field, and for those seeking a comprehensive overview of how the key current issues are being addressed and what the priorities for future research are. Each chapter is written by established leaders in ocean mixing research; the volume is thus suitable for those seeking specific detailed information on sub-topics, as well as those seeking a broad synopsis of current understanding. It provides useful ammunition for those pursuing funding for specific future research campaigns, by being an authoritative source concerning key scientific goals in the short, medium and long term. Additionally, the chapters contain bespoke and informative graphics that can be used in teaching and science communication to convey the complex concepts and phenomena in easily accessible ways. Presents a coherent overview of the state-of-the-art research concerning ocean mixing Provides an in-depth discussion of how ocean mixing impacts all scales of the planetary system Includes elucidation of the grand challenges in ocean mixing, and how they might be addressed
Book Synopsis Propagation of Internal Gravity Waves in a Medium of Weak Random Vertical Shear by : Jeffrey M. Forbes
Download or read book Propagation of Internal Gravity Waves in a Medium of Weak Random Vertical Shear written by Jeffrey M. Forbes and published by . This book was released on 1973 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)
