Stepanyants, Yury 
ORCID: https://orcid.org/0000-0003-4546-0310 and Yeoh, Guan
(2008)
Interaction of gaseous bubbles under the action of radiation modified Bjerknes force.
In: 22nd International Congress of Theoretical and Applied Mechanics (IC-TAM2008), 24-29 Aug 2008, Adelaide, Australia.
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Abstract
The interaction of two bubbles is studied under the action of buoyancy and radiation modified Bjerknes forces in viscous compressible fluid. Viscous drag force for an unsteady creeping flow is also accounted; it includes both the quasi-stationary Stokes and history drag forces. The bubbles are assumed having equal radii, which oscillate harmonically in time, and they are considered to be floating side-by-side during the course of motion. Such oscillation of bubble radii results, in general, in the modified Bjerknes force exerting on the bubbles. In the limit of infinite wavelength of sound waves generated by oscillating bubbles, the Bjerknes force reduces to its traditional quasi-static form. Governing equations for the interaction of two bubbles are studied analytically and numerically. Results obtained have revealed complex behaviour of two bubbles which in almost equal initial conditions, either can coalesce or draw together up to some distances but then, move away from each other.
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| Item Type: | Conference or Workshop Item (Commonwealth Reporting Category E) (Paper) |
|---|---|
| Refereed: | Yes |
| Item Status: | Live Archive |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
| Faculty/School / Institute/Centre: | Historic - Faculty of Sciences - Department of Maths and Computing (Up to 30 Jun 2013) |
| Date Deposited: | 30 Sep 2014 20:47 |
| Last Modified: | 15 Feb 2021 23:33 |
| Uncontrolled Keywords: | bubbles, buoyancy, Bjerknes force, viscous fluid, creeping flow, sound wave, history drag force |
| Fields of Research (2008): | 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics 01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics |
| Fields of Research (2020): | 40 ENGINEERING > 4012 Fluid mechanics and thermal engineering > 401207 Fundamental and theoretical fluid dynamics 49 MATHEMATICAL SCIENCES > 4901 Applied mathematics > 490109 Theoretical and applied mechanics |
| Socio-Economic Objectives (2008): | E Expanding Knowledge > 97 Expanding Knowledge > 970102 Expanding Knowledge in the Physical Sciences E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences |
| URI: | http://eprints.usq.edu.au/id/eprint/25471 |
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