On lubrication models for vertical rivulet fows

Lopes, André von Borries; Borges, R. M.; Matias, G. C.; Pimenta, B. G.; Siqueira, I. R.

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dc.contributor.author	Lopes, André von Borries	-
dc.contributor.author	Borges, R. M.	-
dc.contributor.author	Matias, G. C.	-
dc.contributor.author	Pimenta, B. G.	-
dc.contributor.author	Siqueira, I. R.	-
dc.date.accessioned	2022-04-13T13:30:08Z	-
dc.date.available	2022-04-13T13:30:08Z	-
dc.date.issued	2022-03-14	-
dc.identifier.citation	LOPES, André von Borries et al. On lubrication models for vertical rivulet flows. Meccanica, v. 57, 1071-1082, 2022. DOI: https://doi.org/10.1007/s11012-022-01503-x.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/43418	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer Nature	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	On lubrication models for vertical rivulet fows	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Fluxos de riachos	pt_BR
dc.subject.keyword	Viscosidade	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s11012-022-01503-x	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s11012-022-01503-x	pt_BR
dc.description.abstract1	Rivulet fows are ubiquitous both in nature and industrial applications. Because of the typical length scales involved, most analyses of these fows rely on the so-called lubrication approximation. However, the most common lubrication theory for rivulet fows is designed for rivulets with small contact angles, and thus its range of applicability is rather limited. In this paper, we present a theoretical and computational study of rivulet fows of Newtonian liquids down a vertical plane. We analyze three lubrication models for vertical rivulets – two of them found in the related literature and one developed as novel contribution based on a more appropriate perturbation parameter (the aspect ratio of the rivulet)— and establish their accuracy and range of applicability. We compare the predictions of each reduced model with those obtained via the numerical solution of the problem. The three models are correct and predict nearly the same results when the contact angle is small. However, the standard model is accurate only up to contact angles around 30◦. On the other hand, the other two models remain fairly accurate over the whole range of contact angle up to 90◦. In comparison to the standard approach, our new lubrication model outperforms in terms of accuracy and enlarges the range of applicability of lubrication theories for vertical rivulet fows dramatically.	pt_BR
dc.identifier.orcid	https://orcid.org/ 0000-0001-9435-3664	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Engenharia Mecânica	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Engenharia Mecânica	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Engenharia Mecânica	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Engenharia Mecânica	pt_BR
dc.contributor.affiliation	Rice University, Department of Chemical and Biomolecular Engineering, Houston, TX	pt_BR
dc.description.unidade	Faculdade de Tecnologia (FT)	pt_BR
dc.description.unidade	Departamento de Engenharia Mecânica (FT ENM)	pt_BR
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