3 edition of Linear and nonlinear acoustic wave propagation in the atmosphere found in the catalog.
Linear and nonlinear acoustic wave propagation in the atmosphere
by National Aeronautics and Space Administration, Scientific and Technical Information Division, National Technical Information Service, distributor] in [Washington, DC], [Springfield, Va
Written in English
|Statement||S.I. Hariharan and Yu Ping.|
|Series||NASA contractor report -- 4157., NASA contractor report -- NASA CR-4157.|
|Contributions||Ping, Yu., United States. National Aeronautics and Space Administration. Scientific and Technical Information Division.|
|The Physical Object|
Get this from a library! Nonlinear acoustic wave propagation in atmosphere. [S I Hariharan; Institute for Computer Applications in Science and Engineering.]. We then study linear wave propagation in a coated elastic half-space and show how the dispersion relation can be expressed elegantly in terms of the surface-impedance matrices associated with the layer and half-space. We derive a two-term expression for the wave speed in the long-wavelength limit.
Nonlinear Propagation. When acoustic waves propagate to a far away observer or are initially large enough in amplitude they contain nonlinear effects. Alternatively, propagation of shock waves or sonic booms, through the atmosphere of Earth or another planet, require special mathematics and computational algorithms. Waveguide Propagation of Nonlinear Waves: Impact of Inhomogeneity and Accompanying Effects 1st ed. - Sergey Leble - ISBN: This book addresses the peculiarities of nonlinear wave propagation in waveguides and explains how the stratification depends on the waveguide and confinement. An example of this is an optical fibre that does not allow light to pass through a density .
For adequate modeling of a long‐range sound propagation through atmosphere one needs to know a power spectrum of the temperature and wind fluctuations induced by acoustic. The viscous effect, nonlinear effect, heatconduction effect and relaxation effect can be neglected under these assumptions. the medium is ideal fluid. acoustic waves is much smaller disturbance then background medium. frequency of the acoustic wave is large enough that the propagation of the sound can be regard as an adiabatic process.
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This paper describes the investigation of the acoustic wave-propagation theory and numerical implementation for the situation of an isothermal atmosphere.
A one-dimensional model to validate an asymptotic theory and an axisymmetric three-dimensional situation to relate to a realistic situation are considered. In addition, nonlinear wave propagation and the Linear and nonlinear acoustic wave propagation in the atmosphere book treatment are : S.
Hariharan, Yu Ping. Nonlinear acoustic wave propagation in atmosphere Article (PDF Available) in Quarterly of Applied Mathematics 45(4) December with 68 Reads How we measure 'reads'.
Linear and nonlinear acoustic wave propagation in the atmosphere. The investigation of the acoustic wave propagation theory and numerical implementation for the situation of an isothermal atmosphere is described. A one-dimensional model to validate an asymptotic theory and a 3-D situation to relate to a realistic situation are : S.
Hariharan and Ping Yu. Nonlinear Acoustics: Theory and Applications is an introductory text on the theory and applications of nonlinear acoustics. This book 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/5(5).
The investigation of nonlinear phenomena in acoustics has a rich history stretching back to the mechanical physical sciences in the nineteenth century.
The study of nonlinear phenomena, such as explosions and jet engines, prompted the sharp growth of interest in nonlinear acoustic phenomena.
In this book, the authors consider models of different "acoustic" media as well as equations and. Purchase Non-Linear Wave Propagation With Applications to Physics and Magnetohydrodynamics by A Jeffrey and T Taniuti, Volume 9 - 1st Edition. Print Book & E-Book. in the propagation of wav es and even shocks [Lev].
acoustic wave e quation. c 2 There are no general methods guaranteed to ﬁnd closed form solutions to non-linear PDEs. Acoustics/vibroacoustics (including sound propagation in the atmosphere and ocean, structure-acoustic coupling, flow ducts, and porous materials): Numerical modelling or physical experiments High-frequency approximations for wave propagation or multimode system response: Ray methods, SEA, power flow, semiclassical refinements; probabilistic.
The nonlinear propagation of an acoustic wave induces a spectral reshaping due to harmonic generation. Nonlinear propagation of two primary monochromatic waves at fre-quencies f1 and f2 gives rise to induced secondary radiation at frequencies f16f2. These secondary waves alter the spec-trum of the acoustic ﬁeld.
The sum and difference frequen. The study carried out on the plasma wave is exemplary for wave physics in general and for non-linear e ects in wave propagation.
Jenny - Cymatics - A Study of Wave Phenomena and Vibration - Volume 1 (). Welcome to the 9 th day of the email course, so if you're in Physics HL, this covers the Additional Higher Level Topic 9: Wave phenomena. Abstract: A non-linear acoustic wave propagation model has been developed to determine the effects of ocean variations in the acoustic field, and to determine the signal measured by a receiver at any distance from an omni-directional source.
The model accounts for environmental conditions that include bathymetry, bottom properties, sound velocity profile and sea surface. acoustic wave propagation situation that is nonlinear.
The model is derived from the basic Euler equations for the atmospheric flow and from the regular perturbations for the acoustic part. The nonlinear effects are studied by obtaining two successive linear problems in which the second one involves the solution of the first problem.
Well-posed. A. Bhargava and S. Shahab, arXiv preprint arXiv (). for linear and nonlinear acoustic excitation conditions, in the absence of material nonlinearities of the disk and acoustic spatial resonance.
The linear condition is defined by the presence of the frequency component only at MHz in the frequency spectrum of the pressure field.
In this paper a model problem is considered that simulates an atmospheric acoustic wave propagation situation that is nonlinear. The model is derived from the basic Euler equations for the atmospheric flow and from the regular perturbations for the acoustic part.
The nonlinear effects are studied by obtaining two successive linear problems in which the second one involves the solution of the. The nonlinear vortex solution is obtained with the help of Larichev and Reznik technique. A general linear dispersion relation is derived in a degenerate plasma which gives the several limiting cases of previous studies.
The drift wave and IAW driven dipolar vortex solution is discussed. Non-linear electrical waves propagate through the heart and control cardiac contraction. Abnormal wave propagation causes various forms of the heart disease and can be lethal.
One of the main causes of abnormality is a condition of cardiac fibrosis, which, from mathematical point of view, is the presence of multiple non-conducting obstacles for wave propagation. Abstract. A review of basic linear ocean sound propagation models as derived from fluid dynamics is presented.
By retaining nonlinear terms in the equations of fluid dynamics a nonlinear time domain wave equation is then derived. This monograph is devoted to problems of propagation and stability of linear and nonlinear waves in continuous media with complex structure.
It considers the different media, such as solid with cavities, preliminary deformed disperse medium, solid with porosity filled by the electrically conductive and non-conductive liquid, magnetoelastic, piezo-semiconductors, crystals with. Based on the nonlinear sound reflection problem, the method for analysis of boundary wave nonlinear propagation has been developed.
It uses the idea of partial mode decomposition in wave reflection and takes into account self‐ and cross‐interactions of acoustic waves reflected and.
The main aim of this paper is to perform first self-consistent numerical computation of the response of stellar atmospheres to the propagation of acoustic waves specified by realistic acoustic wave energy spectra.
In the numerical approach, stellar atmospheres are stratified, non-isothermal and plane-parallel, and only their magnetic-free regions are considered. The nonlinear behavior of acoustic waves and their dissipation in the upper atmosphere is studied on the example of infrasound waves generated by vertical motion of the ground surface during the M w earthquake that occurred about 46 km from Illapel, Chile on 16 September To conserve energy, the amplitude of infrasound waves initially increased as the waves .The second nonlinear system is then modeled by nonparametric generalized Hammerstein model made up of power series associated with linear filters.
The method is experimentally validated in the well-known framework of nonlinear propagation of acoustic waves. Voir plus Voir moinsTitle: Research & Education in .Nonlinear acoustics (NLA) is a branch of physics and acoustics dealing with sound waves of sufficiently large amplitudes.
Large amplitudes require using full systems of governing equations of fluid dynamics (for sound waves in liquids and gases) and elasticity (for sound waves in solids). These equations are generally nonlinear, and their traditional linearization is no longer possible.