Theory Of Nonlinear Acoustics In Fluids

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Theory of Nonlinear Acoustics in Fluids

Author : B.O. Enflo
Publisher : Springer Science & Business Media
ISBN 13 : 0306484196
Total Pages : 290 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Theory of Nonlinear Acoustics in Fluids by : B.O. Enflo

Download or read book Theory of Nonlinear Acoustics in Fluids written by B.O. Enflo and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Acoustics in Fluids

Author : Robert Thomas Beyer
Publisher : Van Nostrand Reinhold Company
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Nonlinear Acoustics in Fluids by : Robert Thomas Beyer

Download or read book Nonlinear Acoustics in Fluids written by Robert Thomas Beyer and published by Van Nostrand Reinhold Company. This book was released on 1984 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: New York : Van Nostrand Reinhold, c1984.

Nonlinear Acoustics

Author : Mark F. Hamilton
Publisher :
ISBN 13 : 9780123218605
Total Pages : 455 pages
Book Rating : 4.2/5 (186 download)

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Book Synopsis Nonlinear Acoustics by : Mark F. Hamilton

Download or read book Nonlinear Acoustics written by Mark F. Hamilton and published by . This book was released on 1998 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Understanding Acoustics

Author : Steven L. Garrett
Publisher : Springer
ISBN 13 : 3319499785
Total Pages : 913 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Understanding Acoustics by : Steven L. Garrett

Download or read book Understanding Acoustics written by Steven L. Garrett and published by Springer. This book was released on 2017-02-24 with total page 913 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Acoustics

Author : Robert Thomas Beyer
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Nonlinear Acoustics by : Robert Thomas Beyer

Download or read book Nonlinear Acoustics written by Robert Thomas Beyer and published by . This book was released on 1975 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Waves in Real Fluids

Author : A. Kluwick
Publisher : Springer
ISBN 13 : 3709126088
Total Pages : 336 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Nonlinear Waves in Real Fluids by : A. Kluwick

Download or read book Nonlinear Waves in Real Fluids written by A. Kluwick and published by Springer. This book was released on 2014-05-04 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Waves and Structures in Nonlinear Nondispersive Media

Author : Sergey Nikolaevich Gurbatov
Publisher : Springer Science & Business Media
ISBN 13 : 3642236170
Total Pages : 477 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Waves and Structures in Nonlinear Nondispersive Media by : Sergey Nikolaevich Gurbatov

Download or read book Waves and Structures in Nonlinear Nondispersive Media written by Sergey Nikolaevich Gurbatov and published by Springer Science & Business Media. This book was released on 2012-03-23 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Nonlinear Acoustics

Author : Robert Thomas Beyer
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Nonlinear Acoustics by : Robert Thomas Beyer

Download or read book Nonlinear Acoustics written by Robert Thomas Beyer and published by . This book was released on 1974 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theoretical Foundations of Nonlinear Acoustics

Author : O.V. Rudenko
Publisher : Springer
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (37 download)

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Book Synopsis Theoretical Foundations of Nonlinear Acoustics by : O.V. Rudenko

Download or read book Theoretical Foundations of Nonlinear Acoustics written by O.V. Rudenko and published by Springer. This book was released on 1977 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Wave Propagation in Nonlinear Fluids and Solids

Author : D. S. Drumheller
Publisher : Cambridge University Press
ISBN 13 : 9780521587464
Total Pages : 546 pages
Book Rating : 4.5/5 (874 download)

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Book Synopsis Introduction to Wave Propagation in Nonlinear Fluids and Solids by : D. S. Drumheller

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.

Nonlinear Acoustics Through Problems and Examples

Author : Sn Gurbatov CM Hedberg Ov Rudenko
Publisher :
ISBN 13 : 9781426905452
Total Pages : 0 pages
Book Rating : 4.9/5 (54 download)

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Book Synopsis Nonlinear Acoustics Through Problems and Examples by : Sn Gurbatov CM Hedberg Ov Rudenko

Download or read book Nonlinear Acoustics Through Problems and Examples written by Sn Gurbatov CM Hedberg Ov Rudenko and published by . This book was released on 2010-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Acoustics

Author : K.A. Naugol'nikh
Publisher : Springer Science & Business Media
ISBN 13 : 9781563963384
Total Pages : 528 pages
Book Rating : 4.9/5 (633 download)

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Book Synopsis Nonlinear Acoustics by : K.A. Naugol'nikh

Download or read book Nonlinear Acoustics written by K.A. Naugol'nikh and published by Springer Science & Business Media. This book was released on 1997-05-08 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Theory of Sound Beams

Author : N.S. Bakhvalov
Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Nonlinear Theory of Sound Beams by : N.S. Bakhvalov

Download or read book Nonlinear Theory of Sound Beams written by N.S. Bakhvalov and published by American Institute of Physics. This book was released on 1987 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Acoustics

Author : Mark F. Hamilton
Publisher : Springer
ISBN 13 : 9783031589621
Total Pages : 0 pages
Book Rating : 4.5/5 (896 download)

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Book Synopsis Nonlinear Acoustics by : Mark F. Hamilton

Download or read book Nonlinear Acoustics written by Mark F. Hamilton and published by Springer. This book was released on 2024-09-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book is an introductory text on the theory of nonlinear acoustics written by experts on their respective topics. It is written at a level appropriate for a graduate course on nonlinear acoustics, and it also serves as a useful resource for scientists and engineers. Consistent notation is employed for the principal symbols, and there is extensive cross-referencing between chapters. Chapters 1 through 8 develop the physical concepts, mathematical models, and classical methods of solution that form the theoretical framework for nonlinear acoustics. These chapters, or selected portions, form an appropriate core for an introductory course. While the emphasis is on nonlinear sound waves in fluids, Chapter 9 provides an introduction to nonlinear elastic waves in isotropic solids. Chapters 10 through 15 cover applications and additional methodologies encountered in nonlinear acoustics that include perturbation and numerical methods, ray theory for inhomogeneous media, statistical and parametric phenomena, and biomedical applications. The book is relevant to studies of therapeutic ultrasound, blast waves and jet noise, nondestructive testing, parametric array loudspeakers, particle manipulation with acoustic radiation force, and other applications involving nonlinear acoustics. This is an open access book.

Fluid Waves

Author : Richard Manasseh
Publisher : CRC Press
ISBN 13 : 1000464784
Total Pages : 312 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Fluid Waves by : Richard Manasseh

Download or read book Fluid Waves written by Richard Manasseh and published by CRC Press. This book was released on 2021-11-17 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book derives the mathematical basis for the most-encountered waves in fluids in science and engineering. It gives professionals in important occupations such as maritime engineering, climate science, urban noise control, and medical diagnostics the key formulae needed for calculations. The book begins with the basis of fluid dynamics and subsequent chapters cover surface gravity waves, sound waves, internal gravity waves, waves in rotating fluids, and introduce some nonlinear wave phenomena. Basic phenomena common to all fluid waves such as refraction are detailed. Thereafter, specialized application chapters describe specific contemporary problems. All concepts are supported by narrative examples, illustrations, and problems. FEATURES • Explains the basis of wave mechanics in fluid systems. • Provides tools for the analysis of water waves, sound waves, internal gravity waves, rotating fluid waves and some nonlinear wave phenomena, together with example problems. • 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. This book is suitable for senior undergraduates, graduate students and researchers in Fluid Mechanics, Applied Mathematics, Meteorology, Physical Oceanography, and in Biomedical, Civil, Chemical, Environmental, Mechanical, and Maritime Engineering.

Nonlinear Acoustics. Part 1. Physical Phenomena, Exact Basic Equations, and Problems in Formulation and Solution of Approximate Equations

Download Nonlinear Acoustics. Part 1. Physical Phenomena, Exact Basic Equations, and Problems in Formulation and Solution of Approximate Equations PDF Online Free

Author : Sam Hanish
Publisher :
ISBN 13 :
Total Pages : 151 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Nonlinear Acoustics. Part 1. Physical Phenomena, Exact Basic Equations, and Problems in Formulation and Solution of Approximate Equations by : Sam Hanish

Download or read book Nonlinear Acoustics. Part 1. Physical Phenomena, Exact Basic Equations, and Problems in Formulation and Solution of Approximate Equations written by Sam Hanish and published by . This book was released on 1974 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic equations of classical hydrodynamics of fluids, together with constitutive relations of the medium, have been reviewed. By perturbation expansions the nonlinear equations of acoustic wave propagation currently in use were derived using the acoustic Mach number and Strouhal number as measures of scale (method of Gol'dberg). Several derivations of Burgers'-type equations have been presented, together with a review of solution methods introduced by Hopf and Cole and of the method of characteristics. The classic problem of a piston in a tube was reviewed, with the theoretical extensions of Blackstock. The complexity of all methods led to a search for new approaches. A promising development is Whitham's theory of nonlinear partial differential equations. Elements of this theory are discussed. It is concluded that theoretical difficulties in nonlinear acoustics remain to be solved.

Nonlinear Acoustic Waves in Micro-inhomogeneous Solids

Author : Veniamin Nazarov
Publisher : John Wiley & Sons
ISBN 13 : 1118456084
Total Pages : 263 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis Nonlinear Acoustic Waves in Micro-inhomogeneous Solids by : Veniamin Nazarov

Download or read book Nonlinear Acoustic Waves in Micro-inhomogeneous Solids written by Veniamin Nazarov and published by John Wiley & Sons. This book was released on 2015-01-27 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.