Asymptotic theory for damped dynamics of gas-filled bubbles

Shukla, Abhishek; Datta, Subhra

doi:10.1016/j.apm.2023.10.015

Applied Mathematical Modelling

2024

DOI: 10.1016/j.apm.2023.10.015

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Asymptotic theory for damped dynamics of gas-filled bubbles

Abhishek Shukla,

Subhra Datta

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2024

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How do various forces affect pressure waves in bubbly flows?

Arai,

Kanagawa

2024

Physics of Fluids

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This study investigated the weakly nonlinear propagation of pressure waves in compressible, flowing water with spherical microbubbles, considering various forces. Previous theoretical studies on nonlinear pressure waves in bubbly flows did not consider the forces acting on the bubbles, although the validity of ignoring these forces has not been demonstrated. We focused on every possible force such as drag, gravity, buoyancy, and Bjerknes (acoustic radiation) forces acting on bubbles and studied their effects on pressure waves in a one-dimensional setting. Using a singular perturbation method, the Korteweg–de Vries–Burgers equation describing wave propagation was derived. The following results were obtained: (i) Bjerknes force on the bubbles enhanced the nonlinearity, dissipation, and dispersion of the waves; (ii) Drag, gravity, and buoyancy forces acting on the bubbles increased wave dissipation; (iii) Thermal conduction had the most substantial dissipation effect, followed by acoustic radiation, drag, buoyancy, and gravity. We confirmed that the dissipation due to forces on gas bubbles was quantitatively minor.

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How do various forces affect pressure waves in bubbly flows?

Arai,

Kanagawa

2024

Physics of Fluids

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show abstract

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Asymptotic theory for damped dynamics of gas-filled bubbles

Cited by 1 publication

References 46 publications

How do various forces affect pressure waves in bubbly flows?

How do various forces affect pressure waves in bubbly flows?

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