Radial oscillations of encapsulated microbubbles in viscoelastic liquids

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dc.contributorVirginia Techen
dc.contributor.authorKhismatullin, D. B.en
dc.contributor.authorNadim, A.en
dc.contributor.departmentMathematicsen
dc.date.accessed2013-11-20en
dc.date.accessioned2013-12-04T14:59:22Zen
dc.date.available2013-12-04T14:59:22Zen
dc.date.issued2002-10en
dc.description.abstractThe small-amplitude radial oscillations of a gas microbubble encapsulated by a viscoelastic solid shell and surrounded by a slightly compressible viscoelastic liquid are studied theoretically. The Kelvin-Voigt and 4-constant Oldroyd models are used to describe the viscoelastic properties of the shell and liquid, respectively. The equation for radial oscillation is derived using the method of matched asymptotic expansions. Based on this equation, we present the expressions for damping coefficients and scattering cross sections at the fundamental frequency and at twice that frequency. The numerical maximization of the amplitude-frequency response function shows that the resonance frequency for the encapsulated microbubble highly depends on viscous damping, and therefore, significantly differs from the undamped natural frequency. The effects of the shell and liquid parameters on the resonance frequency and scattering cross sections are analyzed.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationKhismatullin, Damir B. and Nadim, Ali, “Radial oscillations of encapsulated microbubbles in viscoelastic liquids,” Phys. Fluids (1994-present), 14, 3534-3557 (2002), DOI:http://dx.doi.org/10.1063/1.1503353en
dc.identifier.doihttps://doi.org/10.1063/1.1503353en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/24400en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/14/10/10.1063/1.1503353en
dc.language.isoenen
dc.publisherAmerican Institute of Physicsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectGas-bubblesen
dc.subjectContrast agentsen
dc.subjectCompressible liquiden
dc.subjectBlood-flowen
dc.subjectUltrasounden
dc.subjectDynamicsen
dc.subjectShearen
dc.subjectMicrospheresen
dc.subjectActivationen
dc.subjectBehavioren
dc.titleRadial oscillations of encapsulated microbubbles in viscoelastic liquidsen
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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