dorsal/arxiv
View SchemaA New Damping Mechanism in Non-linear Bubble Dynamics
| Authors | Ahmad Moshaii, Rasool Sadighi-Bonabi, Mohammd Taeibi-Rahni |
|---|---|
| Categories | |
| ArXiv ID | physics/0309080 |
| URL | https://arxiv.org/abs/physics/0309080 |
Abstract
Non-linear equations of radial motion of a gas bubble in a compressible viscous liquid have been modified considering effects of viscosity and compressibility more complete than all previous works. A new set of equations has been derived including new terms resulted from consideration of the viscosity and compressibility not only at the bubble interface, but also in the bulk of liquid. The new equations are two non-linear coupled equations, which can not be merged into one equation unlike all previously derived equations. Numerical calculations have been performed considering effects of heat and mass transfer at the bubble interface. The results indicate that the new terms exhibit an important damping role at the collapse, so that their consideration dramatically weakens the bubble rebounds after the collapse. Dependence of this new damping mechanism to amplitude and frequency of the deriving pressure has been investigated.
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"date_created": "2026-03-02T18:00:46.562000Z",
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"abstract": "Non-linear equations of radial motion of a gas bubble in a compressible\nviscous liquid have been modified considering effects of viscosity and\ncompressibility more complete than all previous works. A new set of equations\nhas been derived including new terms resulted from consideration of the\nviscosity and compressibility not only at the bubble interface, but also in the\nbulk of liquid. The new equations are two non-linear coupled equations, which\ncan not be merged into one equation unlike all previously derived equations.\nNumerical calculations have been performed considering effects of heat and mass\ntransfer at the bubble interface. The results indicate that the new terms\nexhibit an important damping role at the collapse, so that their consideration\ndramatically weakens the bubble rebounds after the collapse. Dependence of this\nnew damping mechanism to amplitude and frequency of the deriving pressure has\nbeen investigated.",
"arxiv_id": "physics/0309080",
"authors": [
"Ahmad Moshaii",
"Rasool Sadighi-Bonabi",
"Mohammd Taeibi-Rahni"
],
"categories": [
"physics.flu-dyn"
],
"title": "A New Damping Mechanism in Non-linear Bubble Dynamics",
"url": "https://arxiv.org/abs/physics/0309080"
},
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