Acoustic Scattering from a Turbulent Vortex PDF Download
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Author: Stanford University. Stanford Electronics Laboratories
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Category :
Languages : en
Pages : 50
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Book Description
With the aid of the Born approximation, the time autocorrelation and power spectral density are calculated for the received acoustic signal scattered from velocity fluctuations in a turbulent aircraft trailing vortex. The turbulence is required to be globally stationary, but only locally homogeneous. The treatment includes the effects of spectral broadening due to convection of the scattering eddies by a spatially varying mean flow and by macroeddies. The 3 dB bandwidth of the received signal is related to the scattering angle and the core Mach number of the vortex. A primary feature of the analysis is that it provides a method for inferring the radial intensity distribution of turbulence in a vortex. The analysis technique is also applicable to scattering from other turbulent flows where significant variations of turbulence level occur over distances on the order of the macroeddy size. (Author).
Author: Stanford University. Stanford Electronics Laboratories
Publisher:
ISBN:
Category :
Languages : en
Pages : 50
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Book Description
With the aid of the Born approximation, the time autocorrelation and power spectral density are calculated for the received acoustic signal scattered from velocity fluctuations in a turbulent aircraft trailing vortex. The turbulence is required to be globally stationary, but only locally homogeneous. The treatment includes the effects of spectral broadening due to convection of the scattering eddies by a spatially varying mean flow and by macroeddies. The 3 dB bandwidth of the received signal is related to the scattering angle and the core Mach number of the vortex. A primary feature of the analysis is that it provides a method for inferring the radial intensity distribution of turbulence in a vortex. The analysis technique is also applicable to scattering from other turbulent flows where significant variations of turbulence level occur over distances on the order of the macroeddy size. (Author).
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ISBN:
Category : Eskimos
Languages : en
Pages : 61
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Author: Stanford University. Stanford Electronics Laboratories
Publisher:
ISBN:
Category : Aerodynamics
Languages : en
Pages : 294
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Author:
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Category :
Languages : en
Pages : 0
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Book Description
The objective of the ASL research effort in acoustic propagation is to provide the Army with a multi-stream model for investigating acoustic detection systems. The first step in developing this model is to account for turbulent scattering. Five elements are necessary to accomplish this step: (1) model the turbulent region as a collection of vortices with a distribution of characteristic sizes/velocities; (2) characterize each vortex (turbule) as a known (or assumed) velocity distribution in three space; (3) solve the fluid equations to determine the scattering from each turbule; (4) sum the contributions to the scattered sound pressure level at the detector location of all turbules accounting for the propagation characteristics of the atmospheric medium; and (5) incorporate the algorithms devised above into existing (or appropriately modified) propagation models. Progress in these five areas will be reported.
Author:
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Category :
Languages : en
Pages : 13
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From a complete set of fluid equations, a complete set of coupled linear differential equations for the acoustic pressure, temperature, mass density, and velocity in the presence of stationary turbulence may be derived. To first order in the turbulent temperature variation and flow velocity, these coupled acoustic equations yield an acoustic wave equation given in the literature. Further reduction of this wave equation results in a second equation given in the literature which is good for turbulent length scales alpha much greater than the acoustic wavelength lambda. The length scale alpha(s) of the scattering volume is found to be just as important as alpha and lambda in predicting the general behavior of acoustic scattering by turbulence. In particular, if alpha alpha(s), then the first Born temperature and velocity scattering amplitudes for any ratio alpha/lambda are the usual ones predicted by the first equation, and both the forward and backward velocity scattering are essentially zero for solenoidal turbulent flow velocity. The latter is not true if alpha alpha(s). If a /= alpha(s) > > lambda, then the first Born scattering amplitudes are those predicted by the second equation. If lambda >/= alpha >/= alpha(s), other forms result for the scattering amplitudes. Implications of these findings for predicting results of acoustical scattering experiments where the scattering volume is often ill defined are discussed.
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Category :
Languages : en
Pages : 0
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Book Description
Sound waves propagating near the ground are scattered by random fluctuations in the velocity of temperature fields. We revisit the problem of scattering of sound by turbulence using an improved von Karman-type model for the atmospheric turbulence spectrum. The new model incorporates large boundary-layer scale eddies generated by atmospheric convection, as well as smaller height-scale eddies generated by surface-layer shear. We show that velocity fluctuations- ions from the large convective eddies are typically the cause of random signal behavior for low acoustical frequencies and line-of-sight propagation. For higher frequencies and scattering angles, the shear turbulence becomes more important, with the relative importance of scattering by temperature and velocity fluctuations depending on the degree of atmospheric convection. By applying the new model to monostatic solar systems, we find that solar measurements of the temperature structure parameter can be systematically contaminated by the velocity structure parameter in strong wind conditions. We also discuss how the new model can be used to determine appropriate baselines for direction-finding arrays when there is significant degradation of signal coherence caused by turbulence.
Author: Ernst-August Müller
Publisher:
ISBN:
Category : Sound
Languages : en
Pages : 0
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Author: Ernst-August Müller
Publisher:
ISBN:
Category : Sound
Languages : en
Pages : 50
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Author: Y. Auregan
Publisher: Springer
ISBN: 3540458808
Category : Science
Languages : en
Pages : 302
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Book Description
The coupling between acoustic waves and fluid flow motion is basically nonlinear, with the result that flow and sound modify themselves reciprocally with respect to generation and propagation properties. As a result this problem is investigated by many different communities, such as applied mathematics, acoustics and fluid mechanics. This book is the result of an international school which was held to discuss the foundation of sound--flow interactions, to share expertise and methodologies, and to promote cross-fertilization between the different disciplines involved. It consists essentially of a set of pedagogical lectures and is meant to serve not only as a compact source of reference for the experienced researcher but also as an advanced textbook for postgraduate students, and nonspecialists wishing to familiarize themselves in depth, at a research level, with this fascinating subject.
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Languages : en
Pages : 0
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A new turbulence model is used to describe the acoustical scattering from atmospheric turbulence. A complete set of fluid equations, including the heat flow equation with zero conductivity, is presented for an ideal gas atmosphere. From this set, a complete set of coupled linear differential equation is derived for the acoustic pressure, temperature, mass density, and velocity in the presence of stationary turbulence. From these acoustic wave equations, expressions for acoustic scattering cross sections are derived for individual localized stationary scalable turbules of arbitrary morphology and orientation. Averages over random turbule orientations are also derived. Criteria for comparability of orientationally averaged turbules with different envelope functions are presented and applied, and cross sections for Gaussian and exponential envelopes are compared. The azimuthal dependence of the velocity scattering cross section for a spherically symmetric nonuniformly rotating turbule is illustrated. It is shown that, for incoherent scattering, a collection of randomly oriented turbules of arbitrary morphology may be replaced by an 'equivalent' collection of spherically symmetric, nonuniformly rotating turbules with randomly directed rotation axes.
