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

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      Author
      Behnia, S.
      Mobadersani F.
      Yahyavi, M.
      Rezavand, A.
      Date
      2013
      Source Title
      Nonlinear Dynamics
      Print ISSN
      0924090X
      Volume
      74
      Issue
      3
      Pages
      559 - 570
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      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. © 2013 Springer Science+Business Media Dordrecht.
      Keywords
      Bifurcation diagrams
      Bubble dynamics
      Chaotic oscillations
      Deborah number
      Lyapunov spectrum
      Non-Newtonian fluids
      Bifurcation diagram
      Bubble dynamics
      Chaotic oscillation
      Deborah numbers
      Lyapunov spectrum
      Non-Newtonian fluids
      Bifurcation (mathematics)
      Bubbles (in fluids)
      Elasticity
      Flow measurement
      Gene transfer
      Lyapunov functions
      Lyapunov methods
      Medical applications
      Non Newtonian liquids
      Viscous flow
      Rheology
      Permalink
      http://hdl.handle.net/11693/20724
      Published Version (Please cite this version)
      http://dx.doi.org/10.1007/s11071-013-0988-3
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