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dc.contributor.author | Fomin S. | |
dc.contributor.author | Shankar R. | |
dc.contributor.author | Danes N. | |
dc.contributor.author | Yasuda A. | |
dc.contributor.author | Chugunov V. | |
dc.date.accessioned | 2018-09-18T20:10:41Z | |
dc.date.available | 2018-09-18T20:10:41Z | |
dc.date.issued | 2014 | |
dc.identifier.issn | 0935-4964 | |
dc.identifier.uri | https://dspace.kpfu.ru/xmlui/handle/net/137294 | |
dc.description.abstract | © 2014, Springer-Verlag Berlin Heidelberg. We present a theoretical description of the flow of a thin polymeric film on the inner wall of a rotating horizontal cylinder. We account for polymer elasticity with the quasi-linear Oldroyd-B constitutive relation. We apply several simplifications to derive analytical solutions to this otherwise analytically intractable problem. Because the film is thin and the Reynolds number is small, we can implement a lubrication approximation. Furthermore, if we consider weakly elastic polymers, we can expand perturbation series in the limit of a small Deborah number. The analytical approximation for the steady-state free surface shows qualitative agreement with previous numerical simulation. Numerical solutions of the approximate evolution equation demonstrate the destabilizing effect of elasticity on the film’s perturbed steady-state profile. | |
dc.relation.ispartofseries | Theoretical and Computational Fluid Dynamics | |
dc.subject | Approximate model | |
dc.subject | Rimming flow | |
dc.subject | Visco-elastic fluid | |
dc.title | Rimming flow of a weakly elastic fluid | |
dc.type | Article | |
dc.relation.ispartofseries-issue | 5 | |
dc.relation.ispartofseries-volume | 28 | |
dc.collection | Публикации сотрудников КФУ | |
dc.relation.startpage | 485 | |
dc.source.id | SCOPUS09354964-2014-28-5-SID84919844530 |