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

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dc.citation.epage570en_US
dc.citation.issueNumber3en_US
dc.citation.spage559en_US
dc.citation.volumeNumber74en_US
dc.contributor.authorBehnia, S.en_US
dc.contributor.authorMobadersani F.en_US
dc.contributor.authorYahyavi, M.en_US
dc.contributor.authorRezavand, A.en_US
dc.date.accessioned2016-02-08T09:33:57Z
dc.date.available2016-02-08T09:33:57Z
dc.date.issued2013en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractIn 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.en_US
dc.identifier.doi10.1007/s11071-013-0988-3en_US
dc.identifier.issn0924090X
dc.identifier.urihttp://hdl.handle.net/11693/20724
dc.language.isoEnglishen_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/s11071-013-0988-3en_US
dc.source.titleNonlinear Dynamicsen_US
dc.subjectBifurcation diagramsen_US
dc.subjectBubble dynamicsen_US
dc.subjectChaotic oscillationsen_US
dc.subjectDeborah numberen_US
dc.subjectLyapunov spectrumen_US
dc.subjectNon-Newtonian fluidsen_US
dc.subjectBifurcation diagramen_US
dc.subjectBubble dynamicsen_US
dc.subjectChaotic oscillationen_US
dc.subjectDeborah numbersen_US
dc.subjectLyapunov spectrumen_US
dc.subjectNon-Newtonian fluidsen_US
dc.subjectBifurcation (mathematics)en_US
dc.subjectBubbles (in fluids)en_US
dc.subjectElasticityen_US
dc.subjectFlow measurementen_US
dc.subjectGene transferen_US
dc.subjectLyapunov functionsen_US
dc.subjectLyapunov methodsen_US
dc.subjectMedical applicationsen_US
dc.subjectNon Newtonian liquidsen_US
dc.subjectViscous flowen_US
dc.subjectRheologyen_US
dc.titleChaotic behavior of gas bubble in non-Newtonian fluid: A numerical studyen_US
dc.typeArticleen_US

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