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Propagation Of 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 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 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 Physics of Transitional Shear Flows by : Andrey V. Boiko
Download or read book Physics of Transitional Shear Flows written by Andrey V. Boiko and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonlinear Wave Propagation in Stratified Shear Flows by : David John Brown
Download or read book Nonlinear Wave Propagation in Stratified Shear Flows written by David John Brown and published by . This book was released on 1995 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 The Propagation of Sound Waves Modified by a Shear Flow by : Brian Anthony King
Download or read book The Propagation of Sound Waves Modified by a Shear Flow written by Brian Anthony King and published by . This book was released on 1981 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Propagation of Nonlinear Water Waves Over Variable Depth with Shear Flow by : Wantana Panupintu
Download or read book The Propagation of Nonlinear Water Waves Over Variable Depth with Shear Flow written by Wantana Panupintu and published by . This book was released on 2002 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 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 Shear Flow Effect on the Propagation and Attenuation of Sound Waves by : Mikhail Nageb Mikhail
Download or read book Shear Flow Effect on the Propagation and Attenuation of Sound Waves written by Mikhail Nageb Mikhail and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Wave-guide Model for Turbulent Shear Flow by : Marten T. Landahl
Download or read book A Wave-guide Model for Turbulent Shear Flow written by Marten T. Landahl and published by . This book was released on 1965 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 A Wave-guide Model for Turbulent Shear Flow by : Mårten Landahl
Download or read book A Wave-guide Model for Turbulent Shear Flow written by Mårten Landahl and published by . This book was released on 1965 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Waves and Mean Flows by : Oliver Bühler
Download or read book Waves and Mean Flows written by Oliver Bühler and published by Cambridge University Press. This book was released on 2014-03-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Time-dependent Non-reflecting Boundary Conditions for Simulations of Wave Propagation in Geophysical Shear Flows by : Nijimbere Victor
Download or read book Time-dependent Non-reflecting Boundary Conditions for Simulations of Wave Propagation in Geophysical Shear Flows written by Nijimbere Victor and published by . This book was released on 2010 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Shear Flow Effect on the Propagation and Attenuation of Sound Waves in an Acoustically Treated Annular Duct by : Mikhail Nageb Mikhail
Download or read book Shear Flow Effect on the Propagation and Attenuation of Sound Waves in an Acoustically Treated Annular Duct written by Mikhail Nageb Mikhail and published by . This book was released on 1973 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
