Effect of magnetic field on the radial pulsations of a gas bubble in a non-Newtonian fluid
Author
Behnia, S.
Mobadersani F.
Yahyavi, M.
Rezavand, A.
Hoesinpour, N.
Ezzat, A.
Date
2015Source Title
Chaos, Solitons and Fractals
Print ISSN
0960-0779
Publisher
Elsevier Ltd
Volume
78
Pages
194 - 204
Language
English
Type
ArticleItem Usage Stats
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Abstract
Dynamics of acoustically driven bubbles' radial oscillations in viscoelastic fluids are known as complex and uncontrollable phenomenon indicative of highly active nonlinear as well as chaotic behavior. In the present paper, the effect of magnetic fields on the non-linear behavior of bubble growth under the excitation of an acoustic pressure pulse in non-Newtonian fluid domain has been investigated. The constitutive equation [Upper-Convective Maxwell (UCM)] was used for modeling the rheological behaviors of the fluid. 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. It was found that the magnetic field parameter (B) can be used for controlling the nonlinear radial oscillations of a spherical, acoustically forced gas bubble in nonlinear viscoelastic media. The relevance and importance of this control method to biomedical ultrasound applications were highlighted. We have studied the dynamic behavior of the radial response of the bubble before and after applying the magnetic field using Lyapunov exponent spectra, bifurcation diagrams and time series. A period-doubling bifurcation structure was predicted to occur for certain values of the parameters effects. Results indicated its strong impact on reducing the chaotic radial oscillations to regular ones. © 2015 Elsevier Ltd. All rights reserved.
Keywords
Bifurcation diagramsBubble dynamics
Lyapunov spectrum
Nonlinear acoustics
Viscoelastic
Acoustic fields
Acoustics
Bifurcation (mathematics)
Bubbles (in fluids)
Flow measurement
Gene transfer
Ionization of gases
Lyapunov functions
Lyapunov methods
Magnetic fields
Magnetism
Maxwell equations
Medical applications
Non Newtonian flow
Rheology
Viscoelasticity
Viscous flow
Bifurcation diagram
Bubble dynamics
Lyapunov spectrum
Non-linear acoustics
Viscoelastic
Non Newtonian liquids