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A model for the oscillatory flow in the cerebral aqueduct

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dc.affiliation.dptoUC3M. Departamento de Ingeniería Térmica y de Fluidoses
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Mecánica de Fluidoses
dc.contributor.authorSincomb, Stephanie
dc.contributor.authorCoenen, Wilfried
dc.contributor.authorSánchez Pérez, Antonio Luis
dc.contributor.authorLasheras, Juan Carlos
dc.contributor.funderComunidad de Madrides
dc.contributor.funderUniversidad Carlos III de Madrides
dc.date.accessioned2022-07-21T08:14:23Z
dc.date.available2022-07-21T08:14:23Z
dc.date.issued2020-07-20
dc.description.abstractThis paper addresses the pulsating motion of cerebrospinal fluid in the aqueduct of Sylvius, a slender canal connecting the third and fourth ventricles of the brain. Specific attention is given to the relation between the instantaneous values of the flow rate and the interventricular pressure difference, needed in clinical applications to enable indirect evaluations of the latter from direct magnetic resonance measurements of the former. An order of magnitude analysis accounting for the slenderness of the canal is used in simplifying the flow description. The boundary layer approximation is found to be applicable in the slender canal, where the oscillating flow is characterized by stroke lengths comparable to the canal length and periods comparable to the transverse diffusion time. By way of contrast, the flow in the non-slender opening regions connecting the aqueduct with the two ventricles is found to be inviscid and quasi-steady in the first approximation. The resulting simplified description is validated by comparison with results of direct numerical simulations. The model is used to investigate the relation between the interventricular pressure and the stroke length, in parametric ranges of interest in clinical applications.en
dc.description.sponsorshipThe work of A.L.S. was supported by the National Science Foundation through grant no. 1853954. The work of W.C. was supported by the Convenio Plurianual Comunidad de Madrid Universidad Carlos III de Madrid' through grant no. CSFLOW-CM-UC3M.en
dc.format.extent12
dc.identifier.bibliographicCitationSincomb, S., Coenen, W., Sánchez, A. L., & Lasheras, J. C. (2020). A model for the oscillatory flow in the cerebral aqueduct. Journal of Fluid Mechanics, 899.en
dc.identifier.doihttps://doi.org/10.1017/jfm.2020.463
dc.identifier.issn0022-1120
dc.identifier.publicationfirstpage1
dc.identifier.publicationissueR1
dc.identifier.publicationlastpage12
dc.identifier.publicationtitleJournal of Fluid Mechanicsen
dc.identifier.publicationvolume899
dc.identifier.urihttps://hdl.handle.net/10016/35514
dc.identifier.uxxiAR/0000026326
dc.language.isoeng
dc.relation.projectIDComunidad de Madrid. CSFLOW-CM-UC3Mes
dc.rights© The Author(s), 2020. Published by Cambridge University Pressen
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaFísicaes
dc.subject.otherBiomedical flowsen
dc.titleA model for the oscillatory flow in the cerebral aqueducten
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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