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Dynamic Behavior of a Gas Bubble in Viscoelastic Liquids

dc.contributor.authorTanasawa, Ichiroen_US
dc.contributor.authorYang, Wen‐jeien_US
dc.date.accessioned2010-05-06T23:15:04Z
dc.date.available2010-05-06T23:15:04Z
dc.date.issued1970-10en_US
dc.identifier.citationTanasawa, Ichiro; Yang, Wen‐Jei (1970). "Dynamic Behavior of a Gas Bubble in Viscoelastic Liquids." Journal of Applied Physics 41(11): 4526-4531. <http://hdl.handle.net/2027.42/71129>en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/71129
dc.description.abstractThe dynamic characteristics of a gas bubble situated in a viscoelastic fluid of three‐parameter Oldroyd model is analytically investigated. Consideration is given to the influence of the thermodynamic process of the gas inside the bubble. An equation is derived which governs the timewise variation of the bubble size. Numerical results are obtained for the collapse of a bubble due to a sudden increase in the system pressure. The influence of the physical parameters on the collapse is investigated. It is disclosed that, in the presence of elasticity, the viscous damping effects on the bubble collapse are less in viscoelastic liquids than in pure viscous fluids. The dynamic behavior of a gas bubble in a three‐parameter viscoelastic fluid is simulated by a mechanical system. The mechanism of the bubble behavior may be satisfactorily explained using the model.en_US
dc.format.extent3102 bytes
dc.format.extent360954 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.publisherThe American Institute of Physicsen_US
dc.rights© The American Institute of Physicsen_US
dc.titleDynamic Behavior of a Gas Bubble in Viscoelastic Liquidsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPhysicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mechanical Engineering, The University of Michigan, Ann Arbor, Michigan 48104en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/71129/2/JAPIAU-41-11-4526-1.pdf
dc.identifier.doi10.1063/1.1658491en_US
dc.identifier.sourceJournal of Applied Physicsen_US
dc.identifier.citedreferenceL. Rayleigh, Phil. Mag. 34, 94 (1917).en_US
dc.identifier.citedreferenceW.‐J. Yang and H.‐C. Yeh, A.I.Ch.E. J. 12, 927 (1966).en_US
dc.identifier.citedreferenceJ. R. Street, Trans. Soc. Rheol. 12, 103 (1968).en_US
dc.identifier.citedreferenceH. S. Fogler and J. D. Goddard, “On the Stability and Collapse of Spherical Cavities in Viscoelastic Fluids,” Paper No. 63A presented at the 62nd Ann. Meeting A. I. Ch. E., Washington, D.C., Nov. 1969.en_US
dc.identifier.citedreferenceR. B. Bird, W. E. Stewart, and E. N. Lightfoot, Transport Phenomena (Wiley, New York, 1960).en_US
dc.identifier.citedreferenceJ. G. Oldroyd, Proc. Roy. Soc. (London) 254A, 278 (1958).en_US
dc.owningcollnamePhysics, Department of


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