Spectral Analysis Of Sound Propagation In Stratified Fluids PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Spectral Analysis Of Sound Propagation In Stratified Fluids PDF full book. Access full book title Spectral Analysis Of Sound Propagation In Stratified Fluids.
Author | : Calvin H. Wilcox |
Publisher | : |
Total Pages | : 156 |
Release | : 1980 |
Genre | : |
ISBN | : |
Download Spectral Analysis of Sound Propagation in Stratified Fluids Book in PDF, ePub and Kindle
This paper presents a spectral analysis of the acoustic fields in stationary plane stratified fluids whose densities and sound speeds are functions of the depth. The analysis is based on families of normal mode fields that have simple physical interpretations. The acoustic field in such a fluid may be described by an acoustic potential or by the excess pressure.
Author | : Calvin H. Wilcox |
Publisher | : Springer Science & Business Media |
Total Pages | : 206 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461211247 |
Download Sound Propagation in Stratified Fluids Book in PDF, ePub and Kindle
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.
Author | : Calvin H. Wilcox |
Publisher | : Springer |
Total Pages | : 212 |
Release | : 1984-04-23 |
Genre | : Mathematics |
ISBN | : 9780387909868 |
Download Sound Propagation in Stratified Fluids Book in PDF, ePub and Kindle
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.
Author | : Ricardo Weder |
Publisher | : Springer Science & Business Media |
Total Pages | : 196 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461244307 |
Download Spectral and Scattering Theory for Wave Propagation in Perturbed Stratified Media Book in PDF, ePub and Kindle
The propagation of acoustic and electromagnetic waves in stratified media is a subject that has profound implications in many areas of applied physics and in engineering, just to mention a few, in ocean acoustics, integrated optics, and wave guides. See for example Tolstoy and Clay 1966, Marcuse 1974, and Brekhovskikh 1980. As is well known, stratified media, that is to say media whose physical properties depend on a single coordinate, can produce guided waves that propagate in directions orthogonal to that of stratification, in addition to the free waves that propagate as in homogeneous media. When the stratified media are perturbed, that is to say when locally the physical properties of the media depend upon all of the coordinates, the free and guided waves are no longer solutions to the appropriate wave equations, and this leads to a rich pattern of wave propagation that involves the scattering of the free and guided waves among each other, and with the perturbation. These phenomena have many implications in applied physics and engineering, such as in the transmission and reflexion of guided waves by the perturbation, interference between guided waves, and energy losses in open wave guides due to radiation. The subject matter of this monograph is the study of these phenomena.
Author | : Matania Ben-Artzi |
Publisher | : |
Total Pages | : 78 |
Release | : 1987* |
Genre | : |
ISBN | : |
Download Acoustic Waves in Perturbed Stratified Fluids Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 308 |
Release | : 1991 |
Genre | : Aeronautics |
ISBN | : |
Download Scientific and Technical Aerospace Reports Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 208 |
Release | : 1980 |
Genre | : Science |
ISBN | : |
Download Technical Abstract Bulletin Book in PDF, ePub and Kindle
Author | : Calvin H. Wilcox |
Publisher | : |
Total Pages | : 49 |
Release | : 1981 |
Genre | : |
ISBN | : |
Download Transient Acoustic Wave Propagation in Stratified Fluids Book in PDF, ePub and Kindle
Transient acoustic wave propagation is analyzed for the case of plane-stratified fluids having density rho(y) and sound speed c(y) at depth y. For infinite fluids it is assumed that the (in general discontinuous) functions rho(y), c(y) are uniformly positive and bounded and satisfy abs.val (rho(y) - rho(at infinity)) or = C(+ or - y) to the - alpha power, abs. val. (c(y) - c(at infinity)) or = C(+ or - y) to the - alpha power for + or - y 0, where alpha 3/2. Semi-infinite and finite layers are also treated. The acoustic potential is a solution of the wave equation del-squared u/del t-squared - c-squared(y) rho(y) del dot (1/rho(y)grad(u)) = f(t, x, y) where x = (x1,x2) are horizontal coordinates and f(t, x, y) characterizes the wave sources. The principal results of the analysis show that u is the sum of a free component, which behaves like a diverging spherical wave for large t, and a guided component which is approximately localized in regions abs. val. (y - y sub j)
Author | : Eduard Feireisl |
Publisher | : Birkhäuser |
Total Pages | : 558 |
Release | : 2017-11-24 |
Genre | : Mathematics |
ISBN | : 3319637819 |
Download Singular Limits in Thermodynamics of Viscous Fluids Book in PDF, ePub and Kindle
This book is about singular limits of systems of partial differential equations governing the motion of thermally conducting compressible viscous fluids. "The main aim is to provide mathematically rigorous arguments how to get from the compressible Navier-Stokes-Fourier system several less complex systems of partial differential equations used e.g. in meteorology or astrophysics. However, the book contains also a detailed introduction to the modelling in mechanics and thermodynamics of fluids from the viewpoint of continuum physics. The book is very interesting and important. It can be recommended not only to specialists in the field, but it can also be used for doctoral students and young researches who want to start to work in the mathematical theory of compressible fluids and their asymptotic limits." Milan Pokorný (zbMATH) "This book is of the highest quality from every point of view. It presents, in a unified way, recent research material of fundament al importance. It is self-contained, thanks to Chapter 3 (existence theory) and to the appendices. It is extremely well organized, and very well written. It is a landmark for researchers in mathematical fluid dynamics, especially those interested in the physical meaning of the equations and statements." Denis Serre (MathSciNet)
Author | : Donald A. Drew |
Publisher | : Springer Science & Business Media |
Total Pages | : 311 |
Release | : 2006-05-10 |
Genre | : Mathematics |
ISBN | : 0387226370 |
Download Theory of Multicomponent Fluids Book in PDF, ePub and Kindle
An exposition of the derivation and use of equations of motion for two-phase flow. The approach taken derives the equations of motion using ensemble averaging, and compares them with those derived from control volume methods. Closure for dispersed flows is discussed, and some fundamental solutions are given. The work focuses on the fundamental aspects of two-phase flow, and is intended to give the reader a background for understanding the dynamics as well as a system of equations that can be used in predictions of the behavior of dispersed two-phase flows. The exposition in terms of ensemble averaging is new, and combining it with modern continuum mechanics concepts makes this book unique. Intended for engineering, mathematics and physics researchers and advanced graduate students working in the field.