{"data":{"id":"10.6084/m9.figshare.c.3876112.v1","type":"dois","attributes":{"doi":"10.6084/m9.figshare.c.3876112.v1","prefix":"10.6084","suffix":"m9.figshare.c.3876112.v1","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"Harishankar Manikantan","affiliation":[],"nameIdentifiers":[]},{"name":"Squires, Todd M.","nameType":"Personal","givenName":"Todd M.","familyName":"Squires","affiliation":[],"nameIdentifiers":[]}],"titles":[{"title":"Supplementary material from \"Irreversible particle motion in surfactant-laden interfaces due to pressure-dependent surface viscosity\""}],"publisher":"Figshare","container":{},"publicationYear":2017,"subjects":[{"subject":"90499 Chemical Engineering not elsewhere classified","subjectScheme":"FOR"},{"subject":"FOS: Chemical engineering","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"91504 Fluidisation and Fluid Mechanics","subjectScheme":"FOR"},{"subject":"FOS: Other engineering and technologies","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"}],"contributors":[],"dates":[{"date":"2017-09-11","dateType":"Created"},{"date":"2017-09-11","dateType":"Updated"},{"date":"2017","dateType":"Issued"}],"language":null,"types":{"ris":"GEN","bibtex":"misc","citeproc":"article","schemaOrg":"Collection","resourceType":"Collection","resourceTypeGeneral":"Collection"},"relatedIdentifiers":[{"relationType":"IsSupplementTo","relatedIdentifier":"10.1098/rspa.2017.0346","relatedIdentifierType":"DOI"},{"relationType":"IsIdenticalTo","relatedIdentifier":"10.6084/m9.figshare.c.3876112","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":[],"formats":[],"version":null,"rightsList":[{"rights":"CC BY 4.0","rightsUri":"https://creativecommons.org/licenses/by/4.0"}],"descriptions":[{"description":"The surface shear viscosity of an insoluble surfactant monolayer often depends strongly on its surface pressure. Here, we show that a particle moving within a bounded monolayer breaks the kinematic reversibility of low-Reynolds-number flows. The Lorentz reciprocal theorem allows such irreversibilities to be computed without solving the full nonlinear equations, giving the leading-order contribution of surface pressure-dependent surface viscosity. In particular, we show that a disc translating or rotating near an interfacial boundary experiences a force in the direction perpendicular to that boundary. In unbounded monolayers, coupled modes of motion can also lead to non-intuitive trajectories, which we illustrate using an interfacial analogue of the Magnus effect. This perturbative approach can be extended to more complex geometries, and to two-dimensional suspensions more generally.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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","url":"https://figshare.com/collections/Supplementary_material_from_Irreversible_particle_motion_in_surfactant-laden_interfaces_due_to_pressure-dependent_surface_viscosity_/3876112/1","contentUrl":null,"metadataVersion":2,"schemaVersion":"http://datacite.org/schema/kernel-4","source":"api","isActive":true,"state":"findable","reason":null,"viewCount":0,"viewsOverTime":[],"downloadCount":0,"downloadsOverTime":[],"referenceCount":1,"citationCount":0,"citationsOverTime":[],"partCount":0,"partOfCount":0,"versionCount":0,"versionOfCount":0,"created":"2017-09-11T07:39:58.000Z","registered":"2017-09-11T07:39:59.000Z","published":"2017","updated":"2024-12-19T03:35:33.000Z"},"relationships":{"client":{"data":{"id":"figshare.ars","type":"clients"}},"provider":{"da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