Theory Of Nonlinear Acoustics In Fluids

Author : B.O. Enflo,C.M. Hedberg
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 42,9 Mb
Release : 2006-04-11
Category : Science
ISBN : 9780306484193

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Theory of Nonlinear Acoustics in Fluids by B.O. Enflo,C.M. Hedberg Pdf

The aim of the present book is to present theoretical nonlinear aco- tics with equal stress on physical and mathematical foundations. We have attempted explicit and detailed accounting for the physical p- nomena treated in the book, as well as their modelling, and the f- mulation and solution of the mathematical models. The nonlinear acoustic phenomena described in the book are chosen to give phy- cally interesting illustrations of the mathematical theory. As active researchers in the mathematical theory of nonlinear acoustics we have found that there is a need for a coherent account of this theory from a unified point of view, covering both the phenomena studied and mathematical techniques developed in the last few decades. The most ambitious existing book on the subject of theoretical nonlinear acoustics is ”Theoretical Foundations of Nonlinear Aco- tics” by O. V. Rudenko and S. I. Soluyan (Plenum, New York, 1977). This book contains a variety of applications mainly described by Bu- ers’ equation or its generalizations. Still adhering to the subject - scribed in the title of the book of Rudenko and Soluyan, we attempt to include applications and techniques developed after the appearance of, or not included in, this book. Examples of such applications are resonators, shockwaves from supersonic projectiles and travelling of multifrequency waves. Examples of such techniques are derivation of exact solutions of Burgers’ equation, travelling wave solutions of Bu- ers’ equation in non-planar geometries and analytical techniques for the nonlinear acoustic beam (KZK) equation.

Author : Robert Thomas Beyer
Publisher : Van Nostrand Reinhold Company
Page : 408 pages
File Size : 49,9 Mb
Release : 1984
Category : Fluids
ISBN : UCAL:B4532797

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Nonlinear Acoustics in Fluids by Robert Thomas Beyer Pdf

New York : Van Nostrand Reinhold, c1984.

Author : Steven L. Garrett
Publisher : Springer
Page : 896 pages
File Size : 44,7 Mb
Release : 2017-02-24
Category : Science
ISBN : 9783319499789

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Understanding Acoustics by Steven L. Garrett Pdf

This textbook provides a unified approach to acoustics and vibration suitable for use in advanced undergraduate and first-year graduate courses on vibration and fluids. The book includes thorough treatment of vibration of harmonic oscillators, coupled oscillators, isotropic elasticity, and waves in solids including the use of resonance techniques for determination of elastic moduli. Drawing on 35 years of experience teaching introductory graduate acoustics at the Naval Postgraduate School and Penn State, the author presents a hydrodynamic approach to the acoustics of sound in fluids that provides a uniform methodology for analysis of lumped-element systems and wave propagation that can incorporate attenuation mechanisms and complex media. This view provides a consistent and reliable approach that can be extended with confidence to more complex fluids and future applications. Understanding Acoustics opens with a mathematical introduction that includes graphing and statistical uncertainty, followed by five chapters on vibration and elastic waves that provide important results and highlight modern applications while introducing analytical techniques that are revisited in the study of waves in fluids covered in Part II. A unified approach to waves in fluids (i.e., liquids and gases) is based on a mastery of the hydrodynamic equations. Part III demonstrates extensions of this view to nonlinear acoustics. Engaging and practical, this book is a must-read for graduate students in acoustics and vibration as well as active researchers interested in a novel approach to the material.

Author : O.V. Rudenko,Stepan Ivanovich Solui︠a︡n,Stepan Ivanovich Solui͡an
Publisher : Springer
Page : 296 pages
File Size : 52,8 Mb
Release : 1977
Category : Technology & Engineering
ISBN : UCAL:B3740293

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Theoretical Foundations of Nonlinear Acoustics by O.V. Rudenko,Stepan Ivanovich Solui︠a︡n,Stepan Ivanovich Solui͡an Pdf

Author : Sergey Nikolaevich Gurbatov,Oleg Vladimirovich Rudenko,A.I. Saichev
Publisher : Springer Science & Business Media
Page : 477 pages
File Size : 45,6 Mb
Release : 2012-03-23
Category : Science
ISBN : 9783642236174

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Waves and Structures in Nonlinear Nondispersive Media by Sergey Nikolaevich Gurbatov,Oleg Vladimirovich Rudenko,A.I. Saichev Pdf

"Waves and Structures in Nonlinear Nondispersive Media: General Theory and Applications to Nonlinear Acoustics” is devoted completely to nonlinear structures. The general theory is given here in parallel with mathematical models. Many concrete examples illustrate the general analysis of Part I. Part II is devoted to applications to nonlinear acoustics, including specific nonlinear models and exact solutions, physical mechanisms of nonlinearity, sawtooth-shaped wave propagation, self-action phenomena, nonlinear resonances and engineering application (medicine, nondestructive testing, geophysics, etc.). This book is designed for graduate and postgraduate students studying the theory of nonlinear waves of various physical nature. It may also be useful as a handbook for engineers and researchers who encounter the necessity of taking nonlinear wave effects into account of their work. Dr. Gurbatov S.N. is the head of Department, and Vice Rector for Research of Nizhny Novgorod State University. Dr. Rudenko O.V. is the Full member of Russian Academy of Sciences, the head of Department at Moscow University and Professor at BTH (Sweden). Dr. Saichev A.I. is the Professor at the Faculty of Radiophysics of Nizhny Novgorod State University, Professor of ETH Zürich.

Author : Mark F. Hamilton,David T. Blackstock
Publisher : Unknown
Page : 455 pages
File Size : 54,8 Mb
Release : 1998
Category : Science
ISBN : 0123218608

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Nonlinear Acoustics by Mark F. Hamilton,David T. Blackstock Pdf

This introductory text on the theory and applications of nonlinear acoustics, develops the theory on nonlinear acoustics from physical principles. The first half of the book develops the physical concepts, mathematical models and classical methods of solution that form the theoretical framework of nonlinear acoustics. Benchmark experiences are described and many applications are discussed in detail. The second half covers special topics and applications, both theory and experiment.

Author : A. Kluwick
Publisher : Springer
Page : 336 pages
File Size : 43,8 Mb
Release : 2014-05-04
Category : Mathematics
ISBN : 9783709126080

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Nonlinear Waves in Real Fluids by A. Kluwick Pdf

The study of materials which exhibit new and unconventional properties is of central importance for the devel- opment of advanced and refined technologies in many fields of engineering science. In this connection there has been a rapidly growing interest in real fluid effects on wave phenomena in the past few years. A prominent example is provided by Bethe-Zel'dovich-Thompson (BZT) fluids which have the distinguishing feature that they exhibit negative nonlinearity over a finite range of temperature and pressures in the pure vapour phase. However, two phase flows with and without phase change are an even richer source of new unexpected and previously thought impossible phenomena. Topics covered by this volume include waves in gases near the critical point, waves in retrograde fluids, temperature waves in superfluid helium and density waves in suspensions of particles in liquids. Clearly, the aim of the various contributions is twofold. First, they are intended to provide scientists and engineers working in these and related areas with an overview of various new physical phenomena as for example expansion shocks, sonic shocks, shock splitting, evaporation and liquafaction shocks and the experimental techniques needed to study these phenomena. Second, an attempt is made to discuss aspects of their mathematical modeling with special emphasis on properties which these phenomena have in common.

Author : Robert Thomas Beyer
Publisher : Unknown
Page : 424 pages
File Size : 45,7 Mb
Release : 1975
Category : Nonlinear acoustics
ISBN : MINN:31951000534054H

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Nonlinear Acoustics by Robert Thomas Beyer Pdf

CONTENTS: Introduction -- The Nature of Nonlinear Acoustics, Historical Aspects; Principles of Linear Acoustics; Some Sources of Nonlinear Oscillations; Nonlinear Propagation in Fluids; Shock Waves; Aeroacoustics; Radiation Pressure; Streaming; Cavitation; Nonlinear Interaction of Sound Waves; Applications of Nonlinear Interactions. The Parametric Array; Nonlinear Propagation in Solids.

Author : Robert Thomas Beyer,United States. Naval Sea Systems Command
Publisher : Unknown
Page : 416 pages
File Size : 52,9 Mb
Release : 1974
Category : Nonlinear acoustics
ISBN : MSU:31293012252163

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Nonlinear Acoustics by Robert Thomas Beyer,United States. Naval Sea Systems Command Pdf

Author : K.A. Naugol'nikh,L.A. Ostrovsky
Publisher : Springer Science & Business Media
Page : 528 pages
File Size : 55,6 Mb
Release : 1997-05-08
Category : Science
ISBN : 1563963388

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Nonlinear Acoustics by K.A. Naugol'nikh,L.A. Ostrovsky Pdf

Market: Acousticians, research scientists, instructors, and graduate and advanced undergraduate students in nonlinear acoustics. This book contains a collection of papers by authors of the Former Soviet Union. The topics covered are media with "structural" nonlinearities, optical generation of sound, acoustic beat-wave interactions, acoustic shock waves, thermal self-focusing of acoustic waves, solitons, statistical nonlinear acoustics, media with relaxation and oscillatory degrees of freedom, parametric arrays, and fluid cavitation.

Author : Sn Gurbatov CM Hedberg Ov Rudenko
Publisher : Unknown
Page : 0 pages
File Size : 40,9 Mb
Release : 2010-03
Category : Education
ISBN : 1426905459

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Nonlinear Acoustics Through Problems and Examples by Sn Gurbatov CM Hedberg Ov Rudenko Pdf

The fundamentals of nonlinear acoustics are presented in form of problems followed by solutions, explanations and answers. As distinct from existing textbooks, this book of problems not only helps the reader to become familiar with nonlinear wave processes and the methods of their description, but contributes to mastering calculation procedures and obtaining numerical estimates of the most significant parameters. Thereby, skills are acquired which are indispensable for carrying out original scientific research. This book can be useful to undergraduate and postgraduate students and researchers working in the field of nonlinear wave physics and acoustics.

Author : N.S. Bakhvalov,I︠A︡kov Mikhaĭlovich Zhileĭkin,E.A. Zabolotskaya
Publisher : American Institute of Physics
Page : 192 pages
File Size : 50,6 Mb
Release : 1987
Category : Science
ISBN : UCAL:B4375687

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Nonlinear Theory of Sound Beams by N.S. Bakhvalov,I︠A︡kov Mikhaĭlovich Zhileĭkin,E.A. Zabolotskaya Pdf

Author : Martin Trusler
Publisher : CRC Press
Page : 268 pages
File Size : 46,6 Mb
Release : 2020-11-25
Category : Science
ISBN : 9781000112429

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Physical Acoustics and Metrology of Fluids by Martin Trusler Pdf

The interaction of sound waves with the medium through which they pass can be used to investigate the thermophysical properties of that medium. With the advent of modern instrumentation, it is now possible to determine the speed and absorption of sound with extremely high precision and, through the dependence of those quantities on variables like temperature, pressure, and frequency to gain a sensitive measure of one or more properties of fluid. This has led to renewed interest in such measurements and in the extraction of thermophysical properties of gases and liquids there from. Physical Acoustics and Metrology of Fluids describes both how to design experiments to achieve the highest possible accuracy and how to relate the quantities measured in those experiments to the thermophysical properties of the medium. A thorough theoretical examination of the alternative experimental methods available is designed to guide the experimentalist toward better and more accurate methods. This theoretical analysis is enhanced and complemented by an in-depth discussion of practical experimental techniques and the problems inherent within them. Bringing together the fields of thermodynamics, kinetic theory, fluid mechanics, and theoretical acoustics, plus a wealth of information about practical instruments, this book represents an essential reference on the design and execution of valuable experiments in fluid metrology and physical acoustics.

Author : Richard Manasseh
Publisher : CRC Press
Page : 312 pages
File Size : 51,7 Mb
Release : 2021-11-18
Category : Mathematics
ISBN : 9781000464788

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Fluid Waves by Richard Manasseh Pdf

The book derives the mathematical basis for the most encountered waves in science and engineering. It gives the basis to undertake calculations required for important occupations such as maritime engineering, climate science, urban noise control, and medical diagnostics. The book initiates with fluid dynamics basis with subsequent chapters covering surface gravity waves, sound waves, internal gravity waves and waves in rotating fluids, and details basic phenomena such as refraction. Thereafter, specialized application chapters include description of specific contemporary problems. All concepts are supported by narrative examples, illustrations, and case studies. Features:- Explains the basis of wave mechanics in fluid systems. Provides tools for the analysis of water waves, sound waves, internal gravity, and rotating fluid waves through different examples. Includes comprehensible mathematical derivations at the expense of fewer theoretical topics. Reviews cases describable by linear theory and cases requiring nonlinear and wave-interaction theories. Supports concepts with narrative examples, illustrations, and case studies. This book aims at Senior Undergraduates/Graduate students and Researchers in Fluid Mechanics, Applied Mathematics, Mechanical Engineering, Civil Engineering, and Physical Oceanography.

Author : Veniamin Nazarov,Andrey Radostin
Publisher : John Wiley & Sons
Page : 263 pages
File Size : 54,6 Mb
Release : 2015-01-27
Category : Science
ISBN : 9781118456088

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Nonlinear Acoustic Waves in Micro-inhomogeneous Solids by Veniamin Nazarov,Andrey Radostin Pdf

Nonlinear Acoustic Waves in Micro-inhomogeneous Solids covers the broad and dynamic branch of nonlinear acoustics, presenting a wide variety of different phenomena from both experimental and theoretical perspectives. The introductory chapters, written in the style of graduate-level textbook, present a review of the main achievements of classic nonlinear acoustics of homogeneous media. This enables readers to gain insight into nonlinear wave processes in homogeneous and micro-inhomogeneous solids and compare it within the framework of the book. The subsequent eight chapters covering: Physical models and mechanisms of the structure nonlinearity of micro-inhomogeneous media with cracks and cavities; Elastic waves in media with strong acoustic nonlinearity; Wave processes in micro-inhomogeneous media with hysteretic nonlinearity; Wave processes in nonlinear micro-inhomogeneous media with relaxation; Wave processes in the polycrystalline solids with dissipative and elastic nonlinearity caused by dislocations; Experimental studies of the nonlinear acoustic phenomena in polycrystalline rocks and metals; Experimental studies of nonlinear acoustic phenomena in granular media; and Nonlinear phenomena in seismic waves are dedicated to the theoretical and experimental research of nonlinear processes, caused by longitudinal elastic waves propagation and interaction in the micro-inhomogeneous media with a strong acoustical nonlinearity of different types (elastic, hysteretic, bimodular, elastic quadratic and non-elastic). This valuable monograph is intended for graduate students and researchers in applied physics, mechanical engineering, and applied mathematics, as well as those working in a wide spectrum of disciplines in materials science.