Approximate Equations Governing Finite Amplitude Sound In Thermoviscous Fluids

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Approximate Equations Governing Finite-amplitude Sound in Thermoviscous Fluids

Author : David T. Blackstock
Publisher :
ISBN 13 :
Total Pages : 47 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Approximate Equations Governing Finite-amplitude Sound in Thermoviscous Fluids by : David T. Blackstock

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).

Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions

Author : Barbara Kaltenbacher
Publisher : Springer
ISBN 13 : 3319927833
Total Pages : 309 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Mathematical Theory of Evolutionary Fluid-Flow Structure Interactions by : Barbara Kaltenbacher

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 309 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.

Numerical solution of the KZK equation for pulsed finite amplitude sound beams in thermoviscous fluids

Author : Yang-Sub Lee
Publisher :
ISBN 13 :
Total Pages : 390 pages
Book Rating : 4.:/5 (313 download)

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Book Synopsis Numerical solution of the KZK equation for pulsed finite amplitude sound beams in thermoviscous fluids by : Yang-Sub Lee

Download or read book Numerical solution of the KZK equation for pulsed finite amplitude sound beams in thermoviscous fluids written by Yang-Sub Lee and published by . This book was released on 1993 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Technical Abstract Bulletin

Author : Defense Documentation Center (U.S.)
Publisher :
ISBN 13 :
Total Pages : 1148 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Technical Abstract Bulletin by : Defense Documentation Center (U.S.)

Download or read book Technical Abstract Bulletin written by Defense Documentation Center (U.S.) and published by . This book was released on 1964 with total page 1148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Perturbations and Asymptotics

Author : Richard E. Meyer
Publisher : Academic Press
ISBN 13 : 1483264572
Total Pages : 418 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Singular Perturbations and Asymptotics by : Richard E. Meyer

Download or read book Singular Perturbations and Asymptotics written by Richard E. Meyer and published by Academic Press. This book was released on 2014-05-10 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Research Center Symposia and Advanced Seminar Series: Singular Perturbations and Asymptotics covers the lectures presented at an Advanced Seminar on Singular Perturbation and Asymptotics, held in Madison, Wisconsin on May 28-30, 1980 under the auspices of the Mathematics Research Center of the University of Wisconsin—Madison. The book focuses on the processes, methodologies, reactions, and principles involved in singular perturbations and asymptotics, including boundary value problems, equations, perturbations, water waves, and gas dynamics. The selection first elaborates on basic concepts in the analysis of singular perturbations, limit process expansions and approximate equations, and results on singularly perturbed boundary value problems. Discussions focus on quasi-linear and nonlinear problems, semilinear systems, water waves, expansion in gas dynamics, asymptotic matching principles, and classical perturbation analysis. The text then takes a look at multiple solutions of singularly perturbed systems in the conditionally stable case and singular perturbations, stochastic differential equations, and applications. The book ponders on connection problems in the parameterless case; general connection-formula problem for linear differential equations of the second order; and turning-point problems for ordinary differential equations of hydrodynamic type. Topics include the comparison equation method, boundary layer flows, compound matrix method, asymptotic solution of the connection-formula problem, and higher order equations. The selection is a valuable source of information for researchers interested in singular perturbations and asymptotics.

Nonlinear Acoustics, 1954 to 1983

Author :
Publisher :
ISBN 13 :
Total Pages : 798 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Nonlinear Acoustics, 1954 to 1983 by :

Download or read book Nonlinear Acoustics, 1954 to 1983 written by and published by . This book was released on 1984 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt:

U.S. Government Research Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis U.S. Government Research Reports by :

Download or read book U.S. Government Research Reports written by and published by . This book was released on 1963 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Technical Memorandum

Author : Harvard University. Acoustics Research Laboratory
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Technical Memorandum by : Harvard University. Acoustics Research Laboratory

Download or read book Technical Memorandum written by Harvard University. Acoustics Research Laboratory and published by . This book was released on 1947 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Fundamentals of Physical Acoustics

Author : David T. Blackstock
Publisher : John Wiley & Sons
ISBN 13 : 9780471319795
Total Pages : 568 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Fundamentals of Physical Acoustics by : David T. Blackstock

Download or read book Fundamentals of Physical Acoustics written by David T. Blackstock and published by John Wiley & Sons. This book was released on 2000-04-24 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: AN AUTHORITATIIVE, UP-TO-DATE INTRODUCTION TO PHYSICAL ACOUSTICS Easy to read and understand, Fundamentals of Physical Acoustics fills a long-standing need for an acoustics text that challenges but does not overpower graduate students in engineering and physics. Mathematical results and physical explanations go hand in hand, and a unique feature of the book is the balance it strikes between time-domain and frequency-domain presentations. Fundamentals of Physical Acoustics is intended for a two-semester, first-year graduate course, but is also suitable for advanced undergraduates. Emphasis on plane waves in the first part of the book keeps the mathematics simple yet accommodates a broad range of topics: propagation, reflection and transmission, normal modes and simple waveguides for rectilinear geometries, horns, inhomogeneous media, and sound absorption and dispersion. The second part of the book is devoted to a more rigorous development of the wave equation, spherical and cylindrical waves (including the more advanced mathematics required), advanced waveguides, baffled piston radiation, diffraction (treated in the time domain), and arrays. Applications and examples are drawn from: * Atmospheric acoustics * Noise control * Underwater acoustics * Engineering acoustics * Acoustical measurements Supplemented with more than 300 graphs and figures as well as copious end-of-chapter problems, Fundamentals of Physical Acoustics is also an excellent professional reference for engineers and scientists.

Propagation and absorption of finite-amplitude sound in medium with thermoviscous and multiple relaxation muchanisms

Author : Ping-wah Li
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (34 download)

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Book Synopsis Propagation and absorption of finite-amplitude sound in medium with thermoviscous and multiple relaxation muchanisms by : Ping-wah Li

Download or read book Propagation and absorption of finite-amplitude sound in medium with thermoviscous and multiple relaxation muchanisms written by Ping-wah Li and published by . This book was released on 1993 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1965 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Acoustics and Vibration Progress

Author :
Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Acoustics and Vibration Progress by :

Download or read book Acoustics and Vibration Progress written by and published by . This book was released on 1976 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sound Waves of Finite Amplitude

Author : Victor August Hoersch
Publisher :
ISBN 13 :
Total Pages : 202 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Sound Waves of Finite Amplitude by : Victor August Hoersch

Download or read book Sound Waves of Finite Amplitude written by Victor August Hoersch and published by . This book was released on 1916 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ultrasonic Waves

Author : Auteliano Santos Jr.
Publisher : BoD – Books on Demand
ISBN 13 : 953510201X
Total Pages : 307 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Ultrasonic Waves by : Auteliano Santos Jr.

Download or read book Ultrasonic Waves written by Auteliano Santos Jr. and published by BoD – Books on Demand. This book was released on 2012-03-07 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ultrasonic waves are well-known for their broad range of applications. They can be employed in various fields of knowledge such as medicine, engineering, physics, biology, materials etc. A characteristic presented in all applications is the simplicity of the instrumentation involved, even knowing that the methods are mostly very complex, sometimes requiring analytical and numerical developments. This book presents a number of state-of-the-art applications of ultrasonic waves, developed by the main researchers in their scientific fields from all around the world. Phased array modelling, ultrasonic thrusters, positioning systems, tomography, projection, gas hydrate bearing sediments and Doppler Velocimetry are some of the topics discussed, which, together with materials characterization, mining, corrosion, and gas removal by ultrasonic techniques, form an exciting set of updated knowledge. Theoretical advances on ultrasonic waves analysis are presented in every chapter, especially in those about modelling the generation and propagation of waves, and the influence of Goldberg's number on approximation for finite amplitude acoustic waves. Readers will find this book ta valuable source of information where authors describe their works in a clear way, basing them on relevant bibliographic references and actual challenges of their field of study.

Proceedings of Symposium on Nonlinear Acoustics Held at the University of Birmingham on 1st and 2nd April 1971

Author :
Publisher :
ISBN 13 :
Total Pages : 222 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Proceedings of Symposium on Nonlinear Acoustics Held at the University of Birmingham on 1st and 2nd April 1971 by :

Download or read book Proceedings of Symposium on Nonlinear Acoustics Held at the University of Birmingham on 1st and 2nd April 1971 written by and published by . This book was released on 1974 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Progress in Industrial Mathematics at ECMI 2008

Author : Alistair D. Fitt
Publisher : Springer Science & Business Media
ISBN 13 : 3642121101
Total Pages : 1060 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Progress in Industrial Mathematics at ECMI 2008 by : Alistair D. Fitt

Download or read book Progress in Industrial Mathematics at ECMI 2008 written by Alistair D. Fitt and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 15th European Conference on Mathematics for Industry was held in the agreeable surroundings of University College London, just 5 minutes walk from the British Museum in the heart of London, over the ?ve warm, sunny days from 30 June to 4 July 2008. Participants from all over the world met with the commonaimofreinforcingthe roleofmathematics asanoverarching resource for industry and business. The conference attracted over 300 participants from 30 countries, most of them participating with either a contributed talk, a minisymposium pres- tation or a plenary lecture. ‘Mathematics in Industry’ was interpreted in its widest sense as can be seen from the range of applications and techniques described in this volume. We mention just two examples. The Alan Tayler Lecture was given by Mario Primicerio on a problem arising from moving oil through pipelines when temperature variations a?ect the shearing properties of wax and thus modify the ?ow. The Wacker Prize winner, Master’s student Lauri Harhanen from the Helsinki University of Technology, showed how a novel piece of mathematics allowed new software to capture real-time images of teeth from the data supplied by present day dental machinery (see ECMI Newsletter 44). The meeting was attended by leading ?gures from government, bu- ness and science who all shared the same aim – to promote the application of innovative mathematics to industry, and identify industrial sectors that o?er the most exciting opportunities for mathematicians to provide new insight and new ideas.