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Oscillating viscous flow past a streamwise linear array of circular cylinders

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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.authorAlaminos Quesada, J.
dc.contributor.authorLawrence, J. J.
dc.contributor.authorCoenen, Wilfried
dc.contributor.authorSánchez Pérez, Antonio Luis
dc.contributor.funderAgencia Estatal de Investigación (España)es
dc.date.accessioned2023-11-14T12:04:41Z
dc.date.available2023-11-14T12:04:41Z
dc.date.issued2023-03-25
dc.description.abstractThis paper addresses the viscous flow developing about an array of equally spaced identical circular cylinders aligned with an incompressible fluid stream whose velocity oscillates periodically in time. The focus of the analysis is on harmonically oscillating flows with stroke lengths that are comparable to or smaller than the cylinder radius, such that the flow remains two-dimensional, time-periodic and symmetric with respect to the centreline. Specific consideration is given to the limit of asymptotically small stroke lengths, in which the flow is harmonic at leading order, with the first-order corrections exhibiting a steady-streaming component, which is computed here along with the accompanying Stokes drift. As in the familiar case of oscillating flow over a single cylinder, for small stroke lengths, the associated time-averaged Lagrangian velocity field, given by the sum of the steady-streaming and Stokes-drift components, displays recirculating vortices, which are quantified for different values of the two relevant controlling parameters, namely, the Womersley number and the ratio of the inter-cylinder distance to the cylinder radius. Comparisons with results of direct numerical simulations indicate that the description of the Lagrangian mean flow for infinitesimally small values of the stroke length remains reasonably accurate even when the stroke length is comparable to the cylinder radius. The numerical integrations are also used to quantify the streamwise flow rate induced by the presence of the cylinder array in cases where the periodic surrounding motion is driven by an anharmonic pressure gradient, a problem of interest in connection with the oscillating flow of cerebrospinal fluid around the nerve roots located along the spinal canal.en
dc.description.sponsorshipThis work was supported by the National Institute of Neurological Disorders and Stroke through contract no. 1R01NS120343-01 and by the National Science Foundation through grant no. 1853954. The work of W.C. was partially supported by the Spanish MICINN through the coordinated project PID2020-115961RB.en
dc.format.extent23es
dc.identifier.bibliographicCitationAlaminos-Quesada, J., Lawrence, J. J., Coenen, W., & Sánchez, A. L. (2023). Oscillating viscous flow past a streamwise linear array of circular cylinders. Journal of Fluid Mechanics, 959(A39)en
dc.identifier.doihttps://doi.org/10.1017/jfm.2023.178
dc.identifier.issn0022-1120
dc.identifier.publicationfirstpage1es
dc.identifier.publicationlastpage23es
dc.identifier.publicationtitleJournal of Fluid Mechanicsen
dc.identifier.publicationvolume959es
dc.identifier.urihttps://hdl.handle.net/10016/38851
dc.identifier.uxxiAR/0000033469
dc.language.isoengen
dc.publisherCambridge University Pressen
dc.relation.projectIDGobierno de España. PID2020-115961RA-C33es
dc.rights© The Author(s), 2023. Published by Cambridge University Press.en
dc.rightsThis is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0), which permits unrestricted re-use, distribution and reproduction, provided the original article is properly cited.en
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaIngeniería Mecánicaes
dc.subject.otherGeneral fluid mechanicsen
dc.titleOscillating viscous flow past a streamwise linear array of circular cylindersen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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