Flow in a multi-branching channel with compliant walls

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dc.contributor.authorGreen, J.
dc.contributor.authorSmith, F.
dc.contributor.authorOvenden, N.
dc.date.issued2009
dc.description.abstractThe problem of fluid flow in a compliant-walled channel which branches into two or more daughters is considered with the aim of understanding blood flow through arterio-venous malformations (AVMs) in the brain. The outer walls of the channel are assumed for definiteness to behave as spring-back plates, whilst the divider is taken as rigid. The fluid is assumed to be incompressible and inviscid. When the Strouhal number is small (as occurs in practice in the brain), there are two main axial length scales, one much longer than the vessel width and the other comparable with the vessel width. Also, in the case of small wall displacements, one can analyse the local flow-structure interaction problem using a complex variable method. The flow shows markedly different qualitative features downstream of the branching, depending on the wall stiffness.
dc.description.statementofresponsibilityJ. E. F. Green, F. T. Smith and N. C. Ovenden
dc.identifier.citationJournal of Engineering Mathematics, 2009; 64(4):353-365
dc.identifier.doi10.1007/s10665-009-9285-z
dc.identifier.issn0022-0833
dc.identifier.issn1573-2703
dc.identifier.orcidGreen, J. [0000-0001-5061-9563]
dc.identifier.urihttp://hdl.handle.net/2440/69184
dc.language.isoen
dc.publisherKluwer Academic Publ
dc.rights© Springer Science+Business Media B.V. 2009
dc.source.urihttps://doi.org/10.1007/s10665-009-9285-z
dc.subjectBranching channel
dc.subjectCompliant walls
dc.subjectInviscid fluid flow
dc.subjectMatching
dc.titleFlow in a multi-branching channel with compliant walls
dc.typeJournal article
pubs.publication-statusPublished

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