Download or read book Wave Propagation in a Continously Stratified Fluid written by James C. Savage and published by . This book was released on 1957 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Sound Propagation in Stratified Fluids written by Calvin H. Wilcox and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stratified fluids whose densities, sound speeds and other parameters are functions of a single depth coordinate occur widely in nature. Indeed, the earth's gravitational field imposes a stratification on its atmosphere, oceans and lakes. It is well known that their stratification has a profound effect on the propagation of sound in these fluids. The most striking effect is probably the occurrence of acoustic ducts, due to minima of the sound speed, that can trap sound waves and cause them to propagate hori zontally. The reflection, transmission and distortion of sonar signals by acoustic ducts is important in interpreting sonar echoes. Signal scattering by layers of microscopic marine organisms is important to both sonar engi neers and marine biologists. Again, reflection of signals from bottom sediment layers overlying a penetrable bottom are of interest both as sources of unwanted echoes and in the acoustic probing of such layers. Many other examples could be given. The purpose of this monograph is to develop from first principles a theory of sound propagation in stratified fluids whose densities and sound speeds are essentially arbitrary functions of the depth. In physical terms, the propagation of both time-harmonic and transient fields is analyzed. The corresponding mathematical model leads to the study of boundary value problems for a scalar wave equation whose coefficients contain the pre scribed density and sound speed functions.
Download or read book Wave propagation in a stratified fluid written by Robert Francis MacKinnon and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Wave Propagation in Solids and Fluids written by Julian L. Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is to present a clear and systematic account of the mathematical methods of wave phenomena in solids, gases, and water that will be readily accessible to physicists and engineers. The emphasis is on developing the necessary mathematical techniques, and on showing how these mathematical concepts can be effective in unifying the physics of wave propagation in a variety of physical settings: sound and shock waves in gases, water waves, and stress waves in solids. Nonlinear effects and asymptotic phenomena will be discussed. Wave propagation in continuous media (solid, liquid, or gas) has as its foundation the three basic conservation laws of physics: conservation of mass, momentum, and energy, which will be described in various sections of the book in their proper physical setting. These conservation laws are expressed either in the Lagrangian or the Eulerian representation depending on whether the boundaries are relatively fixed or moving. In any case, these laws of physics allow us to derive the "field equations" which are expressed as systems of partial differential equations. For wave propagation phenomena these equations are said to be "hyperbolic" and, in general, nonlinear in the sense of being "quasi linear" . We therefore attempt to determine the properties of a system of "quasi linear hyperbolic" partial differential equations which will allow us to calculate the displacement, velocity fields, etc.
Download or read book Wave Propagation in Density Stratified Fluids written by John Anthony Gear and published by . This book was released on 1984 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Waves in Continuous Media written by S. L. Gavrilyuk and published by Springer. This book was released on 2017-01-27 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and conservation laws for quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations. Chapter 3 deals with surface and internal waves in an incompressible fluid. The efficiency of mathematical methods is demonstrated on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids. The self-contained presentations of the material is complemented by 200+ problems of different level of difficulty, numerous illustrations, and bibliographical recommendations.
Download or read book On the Difference Between Waves and Turbulence in a Stratified Fluid written by Edmond M. Dewan and published by . This book was released on 1982 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: What are the theoretical and experimental physical differences between waves and turbulence? The motivation behind this question is related to the practical problems associated with laser beam propagation and pollution transport in the atmosphere. Because turbulence causes mixing and waves do not, one must not regard turbulence as a field of random waves. The power density spectrum of velocity fluctuations, when taken along, cannot be used to distinguish between waves and turbulence. Its physical interpretation can differ radically depending upon which type of motion is involved. Two approaches are used here to differentiate theoretically and experimentally between waves and turbulence. The first involves the degree of interaction between modes. The second approach depends on the mixing property of turbulence.
Download or read book A Numerical Study of Conjugate Flows and Flat centred Internal Solitary Waves in an Continuously Stratified Fluid written by Bangjun Wan and published by . This book was released on 1997 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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
Download or read book Some Aspects of Wave Motion in Stably Stratified Fluids written by Russ Erik Davis and published by . This book was released on 1967 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Note written by and published by . This book was released on 1974 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Seismic Wave Propagation in Stratified Media written by Brian Kennett and published by ANU E Press. This book was released on 2009-05-01 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismic Wave Propagation in Stratified Media presents a systematic treatment of the interaction of seismic waves with Earth structure. The theoretical development is physically based and is closely tied to the nature of the seismograms observed across a wide range of distance scales - from a few kilometres as in shallow reflection work for geophysical prospecting, to many thousands of kilometres for major earthquakes. A unified framework is presented for all classes of seismic phenomena, for both body waves and surface waves. Since its first publication in 1983 this book has been an important resource for understanding the way in which seismic waves can be understood in terms of reflection and transmission properties of Earth models, and how complete theoretical seismograms can be calculated. The methods allow the development of specific approximations that allow concentration on different seismic arrivals and hence provide a direct tie to seismic observations.
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:
Download or read book Problems on Waves in Stratified Fluids written by Liliane de Almeida Maia and published by . This book was released on 1992 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topographic Effects in Stratified Flows written by Peter G. Baines and published by Cambridge University Press. This book was released on 2022-01-27 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both theory and experiment, this text describes the behaviour of homogeneous and density-stratified fluids over and around topography. Its presentation is suitable for advanced undergraduate and graduate students in fluid mechanics, as well as for practising scientists, engineers, and researchers. Using laboratory experiments and illustrations to further understanding, the author explores topics ranging from the classical hydraulics of single-layer flow to more complex situations involving stratified flows over two- and three-dimensional topography, including complex terrain. A particular focus is placed on applications to the atmosphere and ocean, including discussions of downslope windstorms, and of oceanic flow over continental shelves and slopes. This new edition has been restructured to make it more digestible, and updated to cover significant developments in areas such as exchange flows, gravity currents, waves in stratified fluids, stability, and applications to the atmosphere and ocean.
Download or read book Solitary Waves in Fluids written by R. Grimshaw and published by WIT Press. This book was released on 2007 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited by R.H.J. Grimshaw, this book covers the topic of solitary waves in fluids.
Download or read book Introduction to Wave Propagation in Nonlinear Fluids and Solids written by D. S. Drumheller and published by Cambridge University Press. This book was released on 1998-02-13 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves occur widely in nature and have innumerable commercial uses. Pressure waves are responsible for the transmission of speech, bow waves created by meteors can virtually ignite the earth's atmosphere, ultrasonic waves are used for medical imaging, and shock waves are used for the synthesis of new materials. This book provides a thorough, modern introduction to the study of linear and nonlinear waves. Beginning with fundamental concepts of motion, the book goes on to discuss linear and nonlinear mechanical waves, thermodynamics, and constitutive models. It covers gases, liquids, and solids as integral parts of the subject. Among the important areas of research and application are impact analysis, shock wave research, explosive detonation, nonlinear acoustics, and hypersonic aerodynamics. Graduate students, as well as professional engineers and applied physicists, will value this clear, comprehensive introduction to the study of wave phenomena.
