Interaction of gaseous bubbles under the action of radiation modified Bjerknes force

Stepanyants, Yury 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 / Department / School: Historic - Faculty of Sciences - Department of Maths and Computing
Date Deposited: 30 Sep 2014 20:47
Last Modified: 06 Jan 2015 04:39
Uncontrolled Keywords: bubbles, buoyancy, Bjerknes force, viscous fluid, creeping flow, sound wave, history drag force
Fields of Research : 02 Physical Sciences > 0203 Classical Physics > 020303 Fluid Physics
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objective: 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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