<abstract xmlns="http://www.w3.org/1999/xhtml">

Evaluating numerically the interaction forces between two free bubbles, under the action of a background of random acoustic radiation, we highlight the contributions of coefficients <italic>βs</italic>0 and <italic>βa</italic>0 <italic>= βu</italic>0 <italic>+ βth</italic>0 to the magnitude of these forces. The quantitative study of the forces is done for several fluids, as different as possible in terms of properties: water, mercury, liquid helium, and superfluid helium. These forces are evaluated, for different radii of the oscillating bubbles, <italic>R</italic>0 = ⎡10−1 − 10−10⏋ m, that the scattering–absorption forces and the scattering–scattering forces are close in magnitude. For water, mercury and liquid helium, the force ratio is in the range <italic>fa</italic> ∈ (10−3 −1). For superfluid helium, the forces change direction, oscillating, and the ratio of the forces is much less than one, |<italic>fa</italic>| 1.
</abstract>

Evaluating numerically the interaction forces between two free bubbles, under the action of a background of random acoustic radiation, we highlight the contributions of coefficients βs0 and βa0 = βu0 + βth0 to the magnitude of these forces. The quantitative study of the forces is done for several fluids, as different as possible in terms of properties: water, mercury, liquid helium, and superfluid helium. These forces are evaluated, for different radii of the oscillating bubbles, R0 = ⎡10−1 − 10−10⏋ m, that the scattering–absorption forces and the scattering–scattering forces are close in magnitude. For water, mercury and liquid helium, the force ratio is in the range fa ∈ (10−3 −1). For superfluid helium, the forces change direction, oscillating, and the ratio of the forces is much less than one, |fa|  1.

Quantitative Analysis of Secondary Bjerknes Forces in Various Liquids

Retired lecturer, Petroleum-Gas University of Ploieşti

BULETINUL INSTITUTULUI POLITEHNIC DIN IAȘI. Secția Matematica. Mecanică Teoretică. Fizică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Quantitative Analysis of Secondary Bjerknes Forces in Various Liquids"}

Evaluating numerically the interaction forces between two free bubbles, under the action of a background of random acoustic radiation, we highlight the...

Quantitative Analysis of Secondary Bjerknes Forces in Various Liquids

Publié en ligne: 06 juil. 2024

Pages: 69 - 87

Reçu: 17 janv. 2024

Accepté: 09 avr. 2024

DOI: https://doi.org/10.2478/bipmf-2024-0004

Mots clés
secondary Bjerknes force, background acoustic radiation, quantitative study, liquids, superfluid helium

© 2024 Ion Simaciu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Quantitative Analysis of Secondary Bjerknes Forces in Various Liquids

Publié en ligne: 06 juil. 2024

Pages: 69 - 87

Reçu: 17 janv. 2024

Accepté: 09 avr. 2024

DOI: https://doi.org/10.2478/bipmf-2024-0004

Mots cléssecondary Bjerknes force, background acoustic radiation, quantitative study, liquids, superfluid helium

© 2024 Ion Simaciu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
secondary Bjerknes force, background acoustic radiation, quantitative study, liquids, superfluid helium