Chaotic behavior of gas bubble in non-Newtonian fluid: a numerical study

In the present paper, the nonlinear behavior of bubble growth under the excitation of an acoustic pressure pulse in non-Newtonian fluid domain has been investigated. Due to the importance of the bubble in the medical applications such as drug, protein or gene delivery, blood is assumed to be the ref...

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Bibliographic Details
Published in:Nonlinear dynamics 2013-11, Vol.74 (3), p.559-570
Main Authors: Behnia, S., Mobadersani, F., Yahyavi, M., Rezavand, A.
Format: Article
Language:English
Subjects:
Acoustics
Automotive Engineering
Bifurcations
Bubbles
Chaos theory
Classical Mechanics
Control
Deborah number
Drug delivery systems
Dynamical Systems
Elasticity
Engineering
Mechanical Engineering
Newtonian fluids
Non Newtonian fluids
Original Paper
Phase diagrams
Vibration
Viscoelasticity
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Summary:In the present paper, the nonlinear behavior of bubble growth under the excitation of an acoustic pressure pulse in non-Newtonian fluid domain has been investigated. Due to the importance of the bubble in the medical applications such as drug, protein or gene delivery, blood is assumed to be the reference fluid. Effects of viscoelasticity term, Deborah number, amplitude and frequency of the acoustic pulse are studied. We have studied the dynamic behavior of the radial response of bubble using Lyapunov exponent spectra, bifurcation diagrams, time series and phase diagram. A period-doubling bifurcation structure is predicted to occur for certain values of the effects of parameters. The results show that by increasing the elasticity of the fluid, the growth phenomenon will be unstable. On the other hand, when the frequency of the external pulse increases the bubble growth experiences more stable condition. It is shown that the results are in good agreement with the previous studies.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-013-0988-3