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Article: Wave propagation and induced steady streaming in viscous fluid contained in a prestressed viscoelastic tube

TitleWave propagation and induced steady streaming in viscous fluid contained in a prestressed viscoelastic tube
Authors
Issue Date2009
PublisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phf
Citation
Physics Of Fluids, 2009, v. 21 n. 5 How to Cite?
AbstractThe oscillatory and time-mean motions induced by a propagating wave of small amplitude through a viscous incompressible fluid contained in a prestressed and viscoelastic (modeled as a Voigt material) tube are studied by a perturbation analysis based on equations of motion in the Lagrangian system. The classical problem of oscillatory viscous flow in a flexible tube is re-examined in the contexts of blood flow in arteries or pulmonary gas flow in airways. The wave kinematics and dynamics, including wavenumber, wave attenuation, velocity, and stress fields, are found as analytical functions of the wall and fluid properties, prestress, and the Womersley number for the cases of a free or tethered tube. On extending the analysis to the second order in terms of the small wave steepness, it is shown that the time-mean motion of the viscoelastic tube with sufficient strength is short lived and dies out quickly as a limit of finite deformation is approached. Once the tube has attained its steady deformation, the steady streaming in the fluid can be solved analytically. Results are generated to illustrate the combined effects on the first-order oscillatory flow and the second-order steady streaming due to elasticity, viscosity, and initial stresses of the wall. The present model as applied to blood flow in arteries and gas flow in pulmonary airways during high-frequency ventilation is examined in detail through comparison with models in the literature. © 2009 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/59078
ISSN
2015 Impact Factor: 2.017
2015 SCImago Journal Rankings: 1.036
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorMa, Yen_HK
dc.contributor.authorNg, COen_HK
dc.date.accessioned2010-05-31T03:42:30Z-
dc.date.available2010-05-31T03:42:30Z-
dc.date.issued2009en_HK
dc.identifier.citationPhysics Of Fluids, 2009, v. 21 n. 5en_HK
dc.identifier.issn1070-6631en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59078-
dc.description.abstractThe oscillatory and time-mean motions induced by a propagating wave of small amplitude through a viscous incompressible fluid contained in a prestressed and viscoelastic (modeled as a Voigt material) tube are studied by a perturbation analysis based on equations of motion in the Lagrangian system. The classical problem of oscillatory viscous flow in a flexible tube is re-examined in the contexts of blood flow in arteries or pulmonary gas flow in airways. The wave kinematics and dynamics, including wavenumber, wave attenuation, velocity, and stress fields, are found as analytical functions of the wall and fluid properties, prestress, and the Womersley number for the cases of a free or tethered tube. On extending the analysis to the second order in terms of the small wave steepness, it is shown that the time-mean motion of the viscoelastic tube with sufficient strength is short lived and dies out quickly as a limit of finite deformation is approached. Once the tube has attained its steady deformation, the steady streaming in the fluid can be solved analytically. Results are generated to illustrate the combined effects on the first-order oscillatory flow and the second-order steady streaming due to elasticity, viscosity, and initial stresses of the wall. The present model as applied to blood flow in arteries and gas flow in pulmonary airways during high-frequency ventilation is examined in detail through comparison with models in the literature. © 2009 American Institute of Physics.en_HK
dc.languageengen_HK
dc.publisherAmerican Institute of Physics. The Journal's web site is located at http://ojps.aip.org/phfen_HK
dc.relation.ispartofPhysics of Fluidsen_HK
dc.rightsPhysics of Fluids. Copyright © American Institute of Physics.en_HK
dc.titleWave propagation and induced steady streaming in viscous fluid contained in a prestressed viscoelastic tubeen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1070-6631&volume=21&issue=5&spage=051901&epage=&date=2009&atitle=Wave+propagation+and+induced+steady+streaming+in+viscous+fluid+contained+in+a+prestressed+viscoelastic+tubeen_HK
dc.identifier.emailNg, CO:cong@hku.hken_HK
dc.identifier.authorityNg, CO=rp00224en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1063/1.3139250en_HK
dc.identifier.scopuseid_2-s2.0-66849095902en_HK
dc.identifier.hkuros155668en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-66849095902&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume21en_HK
dc.identifier.issue5en_HK
dc.identifier.eissn1089-7666-
dc.identifier.isiWOS:000266500500004-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridMa, Y=26657465200en_HK
dc.identifier.scopusauthoridNg, CO=7401705594en_HK
dc.identifier.citeulike8153905-

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