Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Numerical Study on the Penetrability and Directivity of the Difference-Frequency Component Beam in Bubbly Liquids Obtained via Parametric Acoustic Array

Version 1 : Received: 8 April 2024 / Approved: 9 April 2024 / Online: 9 April 2024 (10:07:05 CEST)

How to cite: Tejedor Sastre, M.T.; Vanhille, C. A Numerical Study on the Penetrability and Directivity of the Difference-Frequency Component Beam in Bubbly Liquids Obtained via Parametric Acoustic Array. Preprints 2024, 2024040646. https://doi.org/10.20944/preprints202404.0646.v1 Tejedor Sastre, M.T.; Vanhille, C. A Numerical Study on the Penetrability and Directivity of the Difference-Frequency Component Beam in Bubbly Liquids Obtained via Parametric Acoustic Array. Preprints 2024, 2024040646. https://doi.org/10.20944/preprints202404.0646.v1

Abstract

The penetrability and directivity of ultrasound in different media is of interest in engineering and medical applications (imaging, nondestructive testing, sonochemistry, among others). The nonlinearity of a liquid can be used in the parametric antenna framework to generate low-frequency components with particular features from several ultrasonic signals at the source. Bubbly liquids are dispersive liquids in which a small amount of tiny gas bubbles leads to the increase of the nonlinear parameter of the media over certain frequency ranges. Parametric antenna applied to this huge nonlinear media gives rise to low-frequency components with relatively small intensity at the source. The evolution of a low-frequency component (difference-frequency component obtained from two primary signals) during its propagation in a bubbly liquid is somehow unknown. It is thus interesting to analyse its characteristics to establish whether this component can benefit from the quality of its own frequency and from the primary frequencies in terms of directivity and penetrability into the medium. It must be noted that no such study in bubbly liquids exists in the litterature, but only for homogeneous media. To this end, several numerical models developed previously are used here to analyse the difference-frequency component obtained from a parametric antenna emitting from two ultrasonic signals at the source in one and two-dimensional domains. These models allow us to observe the behavior of this frequency component. An angle that measures the directivity of a beam is also defined. Our results show a point hardly found in the literature: the high directivity and the huge penetrability of the secondary beam associated to the difference-frequency component into the bubbly liquid, compared to the same frequency signal excited directly from the source in the bubbly liquid and to the parametric acoustic array in homogeneous fluids.

Keywords

bubbly liquids; nonlinear acoustics; parametric acoustic array; difference frequency component; ultrasound; penetrability; directivity

Subject

Physical Sciences, Acoustics

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