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A non-traditional fluid problem: transition between theoretical models from Stokes’ to turbulent flow

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dc.contributor.authorSalomone, Horacio D.
dc.contributor.authorOlivieri, Néstor A.
dc.contributor.authorRaviola, Lisandro A.
dc.contributor.authorVéliz, Maximiliano Ezequiel
dc.date.accessioned2025-01-30T15:57:45Z
dc.date.available2025-01-30T15:57:45Z
dc.date.issued2018
dc.description.abstractIn the context of fluid mechanics courses, it is customary to consider the problem of a sphere falling under the action of gravity inside a viscous fluid. Under suitable assumptions, this phenomenon can be modelled using Stokes' law and is routinely reproduced in teaching laboratories to determine terminal velocities and fluid viscosities. In many cases, however, the measured physical quantities show important deviations with respect to the predictions deduced from the simple Stokes' model, and the causes of these apparent'anomalies'(for example, whether the flow is laminar or turbulent) are seldom discussed in the classroom. On the other hand, there are various variable-mass problems that students tackle during elementary mechanics courses and which are discussed in many textbooks. In this work, we combine both kinds of problems and analyse—both theoretically and experimentally—the evolution of a system composed of a sphere pulled by a chain of variable length inside a tube filled with water. We investigate the effects of different forces acting on the system such as weight, buoyancy, viscous friction and drag force. By means of a sequence of mathematical models of increasing complexity, we obtain a progressive fit that accounts for the experimental data. The contrast between the various models exposes the strengths and weaknessess of each one. The proposed experience can be useful for integrating concepts of elementary mechanics and fluids, and is suitable as laboratory practice, stressing the importance of the experimental validation of theoretical models and showing the model-building processes in a didactic framework.
dc.description.filiationFil: Salomone, Horacio D. Universidad Nacional de General Sarmiento. Instituto de Industria; Argentina
dc.description.filiationFil: Olivieri, Néstor A. Universidad Nacional de General Sarmiento. Instituto de Industria; Argentina
dc.description.filiationFil: Véliz, Maximiliano E. Universidad Nacional de General Sarmiento. Instituto de Industria; Argentina
dc.description.filiationFil: Raviola, Lisandro A. Universidad Nacional de Hurlingham. Insituto de Educación; Argentina. Universidad Nacional de General Sarmiento. Instituto de Industria; Argentina
dc.format.mimetypeapplication/pdf
dc.identifier.citationSalomone, H. D., Olivieri, N. A., Véliz, M. E., Raviola, L. A. (2018). A non-traditional fluid problem: transition between theoretical models from Stokes’ to turbulent flow. European Journal of Physics, 39(3), 035002.
dc.identifier.eissn1361-6404
dc.identifier.urihttps://iopscience.iop.org/article/10.1088/1361-6404/aaa34b
dc.identifier.urihttps://repositorio.unahur.edu.ar/handle/123456789/535
dc.journal.number3
dc.journal.titleEuropean Journal of Physics
dc.journal.volume39
dc.language.isoeng
dc.publisherIOP Science
dc.rights.licenseinfo:eu-repo/semantics/restrictedAccess
dc.subject.ocde1Ciencias Exactas y Naturales
dc.subject.ocde2Ciencias Físicas
dc.subject.unahurCiencias Básicas y Aplicadas
dc.titleA non-traditional fluid problem: transition between theoretical models from Stokes’ to turbulent flow
dc.typeinfo:eu-repo/semantics/article
dc.type.oaireinfo:eu-repo/semantics/article
dc.type.snrdinfo:ar-repo/semantics/artículo
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication3fa06e20-47c5-45ea-8797-d54779423f78
relation.isAuthorOfPublication.latestForDiscovery3fa06e20-47c5-45ea-8797-d54779423f78
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