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.

Download or read book Nonlinear Acoustics written by Sam Hanish and published by . This book was released on 1974 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Report of NRL Progress written by Naval Research Laboratory (U.S.) and published by . This book was released on 1974 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Treatise on Acoustic Radiation Large amplitude radiation written by Sam Hanish and published by . This book was released on 1981 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book NRL Report written by and published by . This book was released on 1974 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1975 with total page 2834 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 Government Reports Annual Index written by and published by . This book was released on 1992 with total page 1396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government Reports Announcements written by and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book R D Abstracts written by Technology Reports Centre (Great Britain) and published by . This book was released on 1975 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Monthly Catalog of United States Government Publications Cumulative Index written by United States. Superintendent of Documents and published by . This book was released on 1976 with total page 1466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government Reports Announcements Index written by and published by . This book was released on 1991-03 with total page 1102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Large Amplitude Radiation written by Sam Hanish and published by . This book was released on 1988 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Symmetry and Exact Solutions of Nonlinear Mathematical Physics Equations written by Gangwei Wang and published by Frontiers Media SA. This book was released on 2024-08-13 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear problems, originating from applied science that is closely related to practices, contain rich and extensive content. It makes the corresponding nonlinear models also complex and diverse. Due to the intricacy and contingency of nonlinear problems, unified mathematical methods still remain far and few between. In this regard, the comprehensive use of symmetric methods, along with other mathematical methods, becomes an effective option to solve nonlinear problems.

Download or read book Government Reports Index written by and published by . This book was released on 1975 with total page 1076 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book An Approximate Method for Analyzing Non equilibrium Acoustic Phenomena with Application to Discrete Radiation driven Waves written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1968 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study is made of the interaction between radiative heat transfer and fluid flow in the acoustic approximation. The work introduces a new analytical technique for handling one-dimensional radiative transfer in a nongrey gas near equilibrium. Radiative effects are treated on the basis of the quasi-equilibrium hypothesis, and for simplicity the gas is assumed to be perfect. A nongrey exponential approximation is made to obtain a differential formulation. Combination of the resulting simplified transfer equation with the gas-dynamic equations gives a fifth-order partial differential equation in a perturbation potential. An approximate mathematical method for solving linear wave-propagation problems in the presence of nonequilibrium processes is then employed. The solutions of several previously considered problems are obtained with this approach. The previously unsolved problem of the gas-dynamic response to a step input of radiation from a stationary black wall has also been solved. As shown by the solution, the radiative transfer gives rise initially to a compression-expansion wave in the gas, with the wavefront controlled by radiation. The disturbance at the wavefront, though caused directly by radiative transfer of small time, eventually outruns the wall radiation and becomes a modified-classical disturbance propagating away from the wall at the isentropic speed of sound. (Author).