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      Effect of magnetic field on the radial pulsations of a gas bubble in a non-Newtonian fluid

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      Author
      Behnia, S.
      Mobadersani F.
      Yahyavi, M.
      Rezavand, A.
      Hoesinpour, N.
      Ezzat, A.
      Date
      2015
      Source Title
      Chaos, Solitons and Fractals
      Print ISSN
      0960-0779
      Publisher
      Elsevier Ltd
      Volume
      78
      Pages
      194 - 204
      Language
      English
      Type
      Article
      Item Usage Stats
      125
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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 diagrams
      Bubble 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
      Permalink
      http://hdl.handle.net/11693/21225
      Published Version (Please cite this version)
      http://dx.doi.org/10.1016/j.chaos.2015.07.029
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