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

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...

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Bibliographic Details
Published in:Physics of fluids (1994) 2017-10, Vol.29 (10)
Main Authors: Hassan, H. K., Stepanyants, Y. A.
Format: Article
Language:English
Subjects:
Bubbles
Differential equations
Drag
Fluid dynamics
Integrals
Oscillations
Viscosity
Viscous fluids
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Summary: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.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.5002152