Download or read book Weakly Nonlinear Harmonic Acoustic Waves in Classical Thermoviscous Fluids A Perturbation Analysis written by and published by . This book was released on 2010 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using regular perturbation analysis, we investigate the propagation of a time-harmonic acoustic signal, generated by a sinusoidal boundary condition, in a half-space filled with a classical thermoviscous fluid. It is assumed that the flow is described by a recently introduced, weakly nonlinear partial differential equation (PDE) that, unlike earlier models, exhibits a Hamiltonian structure in the lossless limit.
Download or read book Mathematical Theory of Evolutionary Fluid Flow Structure Interactions written by Barbara Kaltenbacher and published by Springer. This book was released on 2018-06-21 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of coupled partial differential equation models, which describe complex dynamical systems occurring in modern scientific applications such as fluid/flow-structure interactions. The first chapter provides a general description of a fluid-structure interaction, which is formulated within a realistic framework, where the structure subject to a frictional damping moves within the fluid. The second chapter then offers a multifaceted description, with often surprising results, of the case of the static interface; a case that is argued in the literature to be a good model for small, rapid oscillations of the structure. The third chapter describes flow-structure interaction where the compressible Navier-Stokes equations are replaced by the linearized Euler equation, while the solid is taken as a nonlinear plate, which oscillates in the surrounding gas flow. The final chapter focuses on a the equations of nonlinear acoustics coupled with linear acoustics or elasticity, as they arise in the context of high intensity ultrasound applications.
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.
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.
Download or read book Nonlinear Wave Processes in Acoustics written by K. Naugolnykh and published by Cambridge University Press. This book was released on 1998-05-28 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text considers models of different "acoustic" media as well as equations and behavior of finite-amplitude waves. It also considers the effects of nonlinearity, dissipation, dispersion, and for two- and three-dimensional problems, reflection and diffraction on the evolution and interaction of acoustic beams.
Download or read book Singular Limits in Thermodynamics of Viscous Fluids written by Eduard Feireisl and published by Springer Science & Business Media. This book was released on 2009-03-28 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many interesting problems in mathematical fluid dynamics involve the behavior of solutions of nonlinear systems of partial differential equations as certain parameters vanish or become infinite. Frequently the limiting solution, provided the limit exists, satisfies a qualitatively different system of differential equations. This book is designed as an introduction to the problems involving singular limits based on the concept of weak or variational solutions. The primitive system consists of a complete system of partial differential equations describing the time evolution of the three basic state variables: the density, the velocity, and the absolute temperature associated to a fluid, which is supposed to be compressible, viscous, and heat conducting. It can be represented by the Navier-Stokes-Fourier-system that combines Newton's rheological law for the viscous stress and Fourier's law of heat conduction for the internal energy flux. As a summary, this book studies singular limits of weak solutions to the system governing the flow of thermally conducting compressible viscous fluids.
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.
Download or read book Propagation of Finite Amplitude Acoustic Waves in Nonlinear Relaxing Fluids written by Richard Klinman and published by . This book was released on 1971 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: The hydrodynamic equations for relaxing fluids are used to derive the evolutionary properties of longitudinal plane waves of finite amplitude in dispersive and dissipative media. The regimes of uniform and secular perturbation solutions, representing either shock free or possibly shock like solutions, are determined from the equations with no restriction on the dispersion number. Solutions are calculated to second order to demonstrate the main features of the progressive wave distortion in nonlinear relaxing media. Heuristic theories using an equivalent viscous model of relaxing media are evaluated through comparison with the correct relaxation results. A consistent consideration of the perturbation method leads to a representation of the thermal state functions containing many parameters of nonlinearity which include the well known B/A parameter. Finally, through recourse to the theory of characteristics it is demonstrated that, unlike thermoviscous media, relaxing media may sustain true discontinuities in the flow similar to those occurring in the nondissipative Riemann solution. (Author).
Download or read book Approximate Equations Governing Finite amplitude Sound in Thermoviscous Fluids written by David T. Blackstock and published by . This book was released on 1963 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: The equations of motion for viscous, thermally conducting, inert fluids of arbitrary equation of state are approximated so as to account as simple as possible for effects of nonlinearity and dissipation. The purpose is to obtain a general improvement of the classical wave equation. The approximation method is basically the same as the one used by Lighthill (1956) to derive Burgers' equation for unbounded, progressive, plane waves in a perfect gas. Besider encompassing the case treated by Lighthill, the equations are applicable for nonplanar waves, for interacting waves, and for waves subject to boundary-layer effects. Moreover, the fluid need not be a perfect gas. Important simplifications arise when either boundary-layer or main-stream dissipation is negligible. When only mainstream losses are important, the assumption of plane progressive waves leads to Burgers' equation. Two forms of Burgers' equation are given. One is suitable for initial-value problems and the other is suitable for boundary-value problems. (Author).
Download or read book TLeven en bedryf van Jacobus de II gewesen koning van Engeland written by and published by . This book was released on 1690 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Physics Briefs written by and published by . This book was released on 1979 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Lattice Boltzmann Method written by Timm Krüger and published by Springer. This book was released on 2016-11-07 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1972 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Download or read book Acoustics of Musical Instruments written by Antoine Chaigne and published by Springer. This book was released on 2016-05-12 with total page 855 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first English-language translation of Acoustique des instruments de musique, Second Edition, presents the necessary foundations for understanding the complex physical phenomena involved in musical instruments. What is the function of the labium in a flute? Which features of an instrument allow us to make a clear audible distinction between a clarinet and a trumpet? With the help of numerous examples, these questions are addressed in detail. The authors focus in particular on the significant results obtained in the field during the last fifteen years. Their goal is to show that elementary physical models can be used with benefit for various applications in sound synthesis, instrument making, and sound recording. The book is primarily addressed to graduate students and researchers; however it could also be of interest for engineers, musicians, craftsmen, and music lovers who wish to learn about the basics of musical acoustics.
Download or read book Materials and Acoustics Handbook written by Michel Bruneau and published by John Wiley & Sons. This book was released on 2013-05-10 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a group of acoustics and vibration specialists, this book studies the acoustic and vibrating phenomena that occur in diverse materials used for all kinds of purposes. The first part studies the fundamental aspects of propagation: analytical, numerical and experimental. The second part outlines industrial and medical applications. Covering a wide range of topics that associate materials science with acoustics, this will be of invaluable use to researchers, engineers, or practitioners in this field, as well as students in acoustics, physics, and mechanics.
Download or read book Springer Handbook of Acoustics written by Thomas Rossing and published by Springer Science & Business Media. This book was released on 2007-06-21 with total page 1179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an unparalleled modern handbook reflecting the richly interdisciplinary nature of acoustics edited by an acknowledged master in the field. The handbook reviews the most important areas of the subject, with emphasis on current research. The authors of the various chapters are all experts in their fields. Each chapter is richly illustrated with figures and tables. The latest research and applications are incorporated throughout, including computer recognition and synthesis of speech, physiological acoustics, diagnostic imaging and therapeutic applications and acoustical oceanography. An accompanying CD-ROM contains audio and video files.
Download or read book Thermoelasticity with Finite Wave Speeds written by Józef Ignaczak and published by Oxford University Press. This book was released on 2010 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique monograph in a fast developing field of generalized thermoelasticity, an area of active research in continuum mechanics, focusing on thermoelasticity governed by hyperbolic equations, rather than on a wide range of continuum theories.
