Sound and vorticity interactions: transmission and scattering

Pinton, Jean‐François; Brillant, G.

doi:10.1007/s00162-004-0150-4

Cited by 8 publications

(3 citation statements)

References 51 publications

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“…Nevertheless, it has already been shown that the approximation of L AP = L is reasonable for flows at Mach number up to 0.1 [18]. Although the ultrasonic wave is carried out by the flow, some studies indicate that the amplitudes of these waves are not significant enough to influence the velocity profile of the fluid, causing a negligible wave-flow interaction, and the problem is considered uncoupled [23].…”

Section: Working Principlementioning

confidence: 99%

On the effect of the mounting angle on single-path transit-time ultrasonic flow measurement of flare gas: a numerical analysis

Martins

Andrade

Ramos

2019

J Braz. Soc. Mech. Sci. Eng.

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The oil and gas industry needs accurate flow measurement since it is required by law, and so, considered as a field of legal metrology. Nevertheless, curves and other commonly found obstacles may affect the quality of flow measurements, due to disturbances to the flow, such as swirl and asymmetries in the velocity profile. Single-path ultrasonic flow meters are often used to measure the flow rate in flare gas installations, even though they are sensitive to such disturbances. The present paper uses numerical tools to obtain disturbed flow fields downstream from single-and double-elbow pipe installations, aiming to investigate the effects of the mounting angle on disturbed ultrasonic flow measurements, taking into consideration the contributions of all velocity components. Several transducer mounting angles from 0° to 180° are assessed varying the Reynolds numbers (based on the pipe diameter D) from 10 4 to 2 × 10 6 and axial positions up to 80D downstream from the curve. Results indicate that the correction factors for installation effects are mostly greater than in the guidelines and regulations, which suggests that, in real situations, the flow rate is being underestimated. Moreover, badly located measuring installations may be upgraded just by changing the mounting angle of the ultrasonic transducers.

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Section: Working Principlementioning

confidence: 99%

On the effect of the mounting angle on single-path transit-time ultrasonic flow measurement of flare gas: a numerical analysis

Martins

Andrade

Ramos

2019

J Braz. Soc. Mech. Sci. Eng.

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“…Limited by kinds of conditions for theoretical considerations, it is impossible to investigate wide-ranging effects of critical quantities on the scattered waves, such as the characteristic velocity of a vortex, the acoustic wavelength, and the vortex core size. While experimental studies [28][29][30] provided a wide-ranging frequency of incident waves, there are some new difficulties, such as the acoustic measurements of the near scattered field, precise control of flow properties, and desired incident waves, which make it hard to figure out concisely what properties are responsible for a scattering phenomenon observed in an experiment. Over the past few decades, rapid developments of computer technologies and numerical methods have enabled simultaneously resolved the flow and acoustic fields, which brought a huge opportunity to improve our understanding of wide-ranging scale effects and scattering mechanisms, by directly solving Navier-Stokes equations [18,24] and linearized Euler equations [31].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of sound scattering by a convected vortex

Han

et al. 2022

J. Phys.: Conf. Ser.

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The sound scattering by a convected isentropic vortex is numerically studied by solving the linearized Euler equations (LEE) with high-fidelity finite-difference methods and non-reflecting boundary conditions. Our computations are in good agreement with previous studies. Simulations for the scattering from a Taylor vortex at a range of convected velocity reveal that the convection of the vortex leads to the spectral broadening of the incident waves. The power spectral density analyses of the scattered pressure in the frequency domain show that the range of the spectral broadening is strongly influenced by convected velocity. This fact can be explained by the relative motion between the vortex and observer associated with the Doppler factor. The sidebands originating from the scattered fields at a fixed point in the frequency domain can be associated with the scattered beams observed in the case of scattering by a steady vortex.

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“…Values of the vorticity parameter α = 0.5 then induce Ma ∼ 0.1, which is impossible to achieve in water because of the appearance of cavitation bubbles in the vortex core, which slow down the flow velocity. However, Ma ∼ 0.1 might be reachable with one single vorticity filament in a medium with lower sound velocities, such as air [31], second sound in superfluid helium [32], or in ultracold atomic gases [33].…”

mentioning

confidence: 99%

Topological Effects of a Vorticity Filament on the Coherent Backscattering Cone

Aubry

Roux

2019

Phys. Rev. Lett.

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In this Letter, we report on the effects of a vorticity filament on the coherent backscattering cone. Using ultrasonic waves in a strongly reverberating cavity, we experimentally show that the discrete number of loops of acoustic paths around a pointlike vortex located at the center of the cavity drives the cancellation and the potential rebirth of the coherent backscattering enhancement. The vorticity filament behaves, then, as a topological anomaly for wave propagation that provides some new insight between reciprocity and weak localization.Coherent backscattering enhancement of waves by a random medium provides convincing evidence of interference effects despite disorder and multiple scattering. The coherent backscattering cone (CBC) is manifested as a cusp in the angular distribution of the backscattered intensity [1]. This universal phenomenon has been observed experimentally at different spatial scales in optics [2], acoustics [3], and seismology [4], and with elastic waves [5] and cold atoms [6].The CBC is considered to be a sign of weak localization of waves that propagate in a disordered medium. The weak localization originates from constructive interferences between multiple scattering paths and their reciprocal counterparts that follow the same sequence of scatterers in reverse order. Indeed, only reciprocity breaking in the propagation medium can alter the constructive interferences and destroy the enhancement [7]. Suppression of the CBC by Faraday rotation of light in a multiple scattering medium provided the first experimental evidence of the disappearance of weak localization [8]. Evidence of CBC destruction using acoustic waves in a rotational flow was also reported [9]. The relation between reciprocity and coherent backscattering enhancement was recently revisited in the context of propagation of cold atoms in optical speckles [10] or of light in optical fibers [11].In this Letter, we go one step beyond the CBC destruction for acoustic waves by observing a coherent backscattering dip and by predicting the rebirth of the cone. Compared to the reciprocity-breaking phase shifts induced by solid rotation, which depends on the path lengths distribution in the cavity, the topological anomaly created by a vorticity filament quantizes wave transport properties: the only physical parameter that drives the CBC cancellation and its potential rebirth is the integer number of loops of the conjugated paths around this topological singularity. Note also that the * geoffroy.aubry@unifr.ch; Now at: Département de Physique,

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Sound and vorticity interactions: transmission and scattering

Cited by 8 publications

References 51 publications

On the effect of the mounting angle on single-path transit-time ultrasonic flow measurement of flare gas: a numerical analysis

On the effect of the mounting angle on single-path transit-time ultrasonic flow measurement of flare gas: a numerical analysis

Numerical simulation of sound scattering by a convected vortex

Topological Effects of a Vorticity Filament on the Coherent Backscattering Cone

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