Resonance properties of forced oscillations of particles and gaseous bubbles in a viscous fluid at small Reynolds numbers
Article
Article Title | Resonance properties of forced oscillations of particles and gaseous bubbles in a viscous fluid at small Reynolds numbers |
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ERA Journal ID | 1298 |
Article Category | Article |
Authors | Hassan, H. K. (Author) and Stepanyants, Y. A. (Author) |
Journal Title | Physics of Fluids |
Journal Citation | 29 (10) |
Article Number | 101703 |
Number of Pages | 5 |
Year | 2017 |
Publisher | AIP Publishing |
Place of Publication | United States |
ISSN | 1070-6631 |
1089-7666 | |
Digital Object Identifier (DOI) | https://doi.org/10.1063/1.5002152 |
Web Address (URL) | https://aip.scitation.org/doi/10.1063/1.5002152 |
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. |
Keywords | linear oscillator; micro-particle; gaseous bubble; viscous fluid; exact solution; Stokes drag; memory-integral drag force; small Reynolds numbers |
Contains Sensitive Content | Does not contain sensitive content |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
490109. Theoretical and applied mechanics | |
Public Notes | This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Physics of Fluids 29, 101703 (2017) and may be found at https://doi.org/10.1063/1.5002152. |
Byline Affiliations | University of Southern Queensland |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q473x/resonance-properties-of-forced-oscillations-of-particles-and-gaseous-bubbles-in-a-viscous-fluid-at-small-reynolds-numbers
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