Wave equation for sound in fluids with vorticity

Bergliaffa, Santiago Esteban Pérez; Hibberd, Katrina E.; Stone, Michael; Visser, Matt

doi:10.1016/j.physd.2003.11.007

Cited by 84 publications

(95 citation statements)

References 20 publications

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“…A detailed understanding of this requires the knowledge of transport properties in the boundary fluid, and in particular its refraction index. It should also be noted that sonic and light propagation in moving media with vorticity is a highly non-trivial issue [28]. Our work provides the means for a holographic extension of the results of the latter reference.…”

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confidence: 52%

Holographic three-dimensional fluids with nontrivial vorticity

2012

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Three-dimensional fluids with nontrivial vorticity can be described holographically. It is wellknown that the Kerr-AdS geometry gives rise to a cyclonic flow. Here we note that Taub-NUT-AdS4 geometries give rise to a rotating fluid with vortex flow. The Randers and Zermelo forms of the boundary metrics provide alternative descriptions of the fluid by inertial co-moving or by accelerated observers. Such fluids possess acoustic horizons. Moreover, light propagation on the boundary Taub-NUT fluid will encounter an optical horizon associated with closed timelike curves. In the latter case the Misner string introduces a multi-valuedness of the scalar fluctuations which can be attributed to the anyonic nature of the boundary vortex.

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confidence: 52%

Holographic three-dimensional fluids with nontrivial vorticity

2012

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“…It should be emphasized that the analogy between sound and electromagnetic waves discussed in this article could be compared to the similarities between sound wave and gravitational waves discussed in particular by Unruh. On this subject and some connected discussions concerning the acoustic Aharonov-Bohm effect (that is related to the optical Aharonov-Bohm effect that follows from the Fizeau effect) the reader should consult 18,19 .…”

Section: Physical Meaning and Discussionmentioning

confidence: 99%

The physical origin of the Fresnel drag of light by a moving dielectric medium

Drezet

2005

Eur. Phys. J. B

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We present a new derivation of the Fresnel-Fizeau formula for the drag of light by a moving medium using a simple perturbation approach. We focus particulary on the physical origin of the phenomenon and we show that it is very similar to the Doppler-Fizeau effect. We prove that this effect is, in its essential part, independent of the theory of relativity. The possibility of applications in other domains of physics is considered.

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“…In fact, as proved in Ref. [30], the analogy is still valid as long as the frequency of the sound is larger enough than the vorticity of the flow Ω = ∇ × u: ω |Ω|, but there is no requirement of the magnitude of the spatial inhomogeneity comparing with wave length.…”

Section: Geometric Acousticsmentioning

confidence: 95%

Achieving acoustic cloak by using compressible background flow

Zhang

Zhao

2016

Chinese Phys. B

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We propose a scheme of acoustic spherical cloaking by means of background irrotational flow in compressible fluid. The background flow forms a virtual curved spacetime and guides the sound waves bypass the cloaked objects. To satisfy the laws of real fluid, we show that spatially distributed mass source and momentum source are necessary to supply. The propagation of sound waves in this system is studied via both geometric acoustics approximation and full wave approach. The analytic solution of sound fields is obtained for plane wave incidence. The results reveal the effect of phase retardation (or lead) in comparison with the ordinary transformation-acoustic cloak. In addition, the ability of cloaking is also evaluated for unideal background flows by analyzing the scattering cross section.

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Wave equation for sound in fluids with vorticity

Cited by 84 publications

References 20 publications

Holographic three-dimensional fluids with nontrivial vorticity

Holographic three-dimensional fluids with nontrivial vorticity

The physical origin of the Fresnel drag of light by a moving dielectric medium

Achieving acoustic cloak by using compressible background flow

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