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Chiral symmetry breaking and entropy production in Dean vortices

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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.authorHerreros Cid, María Isabel
dc.contributor.authorHochberg, David
dc.contributor.funderMinisterio de Ciencia e Innovación (España)es
dc.date.accessioned2023-05-15T07:13:13Z
dc.date.available2023-05-15T07:13:13Z
dc.date.issued2023-04
dc.description.abstractIn toroidal pipes, the secondary flow in cross section is a mirror symmetric pair of counter-rotating axially oriented Dean vortices. This mirror symmetry is broken in helical pipes. We investigate in detail the mirror symmetry breaking in these secondary flows in going from toroidal to helical geometries. We quantify the degree of mirror symmetry breaking in helical flows by calculating both an (i) order-parameter − 1 ≤ χ ≤ 1 that measures the net integrated chirality of vortices in section and (ii) the entropy production due to both viscous shear forces and convection for Dean vortices as the Dean number and pitch of the helix are varied. We prove that the entropy production due to convective processes is always greater than that due to viscous shear, for stationary incompressible flows in the absence of body forces. For the same pipe radius and pipe curvature, fluid density, viscosity, and entrance flows, the vortex entropy production in the stationary state is minimized for helical conduits (for a given Dean number) with respect to that of toroidal pipes (zero pitch). The dissipation in the fluid flow due to Dean vortices decreases in going from a toroidal to a helical geometry, while the chiral order parameter tends to χ = ± 1 for finite values of the pitch as the Dean number is decreased.en
dc.description.sponsorshipThis research has been funded by Grant No. PID2020-116846GB-C22 by the Spanish Ministry of Science and Innovation/State Agency of Research Grant No. MCIN/AEI/10.13039/501100011033 and by "ERDF A way of making Europe." We are grateful to Josep M. Ribo for many useful discussions.en
dc.format.extent23
dc.identifier.bibliographicCitationHerreros, M., & Hochberg, D. (2023). Chiral symmetry breaking and entropy production in Dean vortices. Physics of Fluids, 35(4), 043614en
dc.identifier.doihttps://doi.org/10.1063/5.0142665
dc.identifier.issn1070-6631
dc.identifier.publicationfirstpage043614-1
dc.identifier.publicationissue4
dc.identifier.publicationlastpage043614-23
dc.identifier.publicationtitlePhysics of Fluidsen
dc.identifier.publicationvolume35
dc.identifier.urihttps://hdl.handle.net/10016/37290
dc.identifier.uxxiAR/0000032623
dc.language.isoeng
dc.publisherAIP Publishingen
dc.relation.projectIDGobierno de España. PID2020-116846GB-C22es
dc.rights© 2023 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) licenseen
dc.rightsAtribución 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/es/*
dc.subject.ecienciaAeronáuticaes
dc.subject.ecienciaCombustibles Fósileses
dc.subject.ecienciaFísicaes
dc.subject.ecienciaFusiónes
dc.subject.ecienciaGeologíaes
dc.subject.otherThermodynamic propertiesen
dc.subject.otherChiralityen
dc.subject.otherFluid mechanicsen
dc.subject.otherFluid dynamicsen
dc.subject.otherFluid flowsen
dc.subject.otherLaminar flowsen
dc.subject.otherNavier stokes equationsen
dc.subject.otherVortex dynamicsen
dc.titleChiral symmetry breaking and entropy production in Dean vorticesen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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