Resonance properties of forced oscillations of particles and gaseous bubbles in a viscous fluid at small Reynolds numbers

Hassan, H. K. and Stepanyants, Y. A. (2017) Resonance properties of forced oscillations of particles and gaseous bubbles in a viscous fluid at small Reynolds numbers. Physics of Fluids, 29 (101703). pp. 1-5. ISSN 0031-9171

Abstract

We consider small oscillations of micro-particles and gaseous bubbles in a viscous fluid around equilibrium states under the action of a sinusoidal external force. Exact solutions to the governing integro-differential equations containing both Stokes and memory-integral drag forces are obtained. The main aim of this study is to clarify the influence of the memory-integral drag force on the resonance characteristics of oscillating particles or gaseous bubbles in a viscous fluid at small Reynolds numbers. The resonant curves (the amplitude versus the frequency of an external force) and phase-frequency dependences are obtained for both these objects and compared with the corresponding dependences of the traditional oscillator with the Stokes drag force only.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Published version not accessible until October 2018.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 12 Dec 2017 00:14
Last Modified: 12 Dec 2017 00:16
Uncontrolled Keywords: linear oscillator; micro-particle; gaseous bubble; viscous fluid; exact solution; Stokes drag; memory-integral drag force; small Reynolds numbers
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
Identification Number or DOI: 10.1063/1.5002152
URI: http://eprints.usq.edu.au/id/eprint/33245

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