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), pp. 1-5 |
Number of Pages | 5 |
Year | 2017 |
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 |
ANZSRC Field of Research 2020 | 401207. Fundamental and theoretical fluid dynamics |
490109. Theoretical and applied mechanics | |
Public Notes | File reproduced in accordance with the copyright policy of the publisher/author. |
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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