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Instability and symmetry breaking in binary evaporating thin films over a solid spherical dome

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dc.contributor.authorShi, Xingyi
dc.contributor.authorShaqfeh, Eric S. G.
dc.contributor.authorFuller, Gerald G.
dc.contributor.authorRodríguez Hakim, Mariana
dc.date.accessioned2024-05-20T11:27:47Z
dc.date.available2024-05-20T11:27:47Z
dc.date.issued2021-05-25
dc.description.abstractWe examine the axisymmetric and non-axisymmetric flows of thin fluid films over a spherical glass dome. A thin film is formed by raising a submerged dome through a silicone oil mixture composed of a volatile, low surface tension species (1 cSt, solvent) and a non-volatile species at a higher surface tension (5 cSt, initial solute volume fraction ϕ0). Evaporation of the 1 cSt silicone oil establishes a concentration gradient and, thus, a surface tension gradient that drives a Marangoni flow that leads to the formation of an initially axisymmetric mound. Experimentally, when ϕ0⩽0.3%, the mound grows axisymmetrically for long times (Rodríguez-Hakim et al., Phys. Rev. Fluids, vol. 4, 2019, pp. 1–22), whereas when ϕ0⩾0.35%, the mound discharges in a preferred direction, thereby breaking symmetry. Using lubrication theory and numerical solutions, we demonstrate that, under the right conditions, external disturbances can cause an imbalance between the Marangoni flow and the capillary flow, leading to symmetry breaking. In both experiments and simulations, we observe that (i) the apparent, most amplified disturbance has an azimuthal wavenumber of unity, and (ii) an enhanced Marangoni driving force (larger ϕ0)leads to an earlier onset of the instability. The linear stability analysis shows that capillarity and diffusion stabilize the system, while Marangoni driving forces contribute to the growth in the disturbances.en
dc.description.versionversión final
dc.identifier.doihttps://doi.org/10.1017/jfm.2021.136
dc.identifier.issn0022-112; eISSN: 1469-7645
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12040
dc.journal.titleJournal of Fluid Mechanics
dc.journal.volume915
dc.language.isoen
dc.publisherCambridge University Press
dc.relation.centerFacultad de Ciencias
dc.relation.departmentFísica Fundamental
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.titleInstability and symmetry breaking in binary evaporating thin films over a solid spherical domees
dc.typejournal articleen
dc.typeartículoes
dspace.entity.typePublication
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relation.isAuthorOfPublication.latestForDiscovery0d3ca748-728d-48f4-b71c-55f101dfb9d8
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