KFU. Card publication. Rimming flow of a weakly elastic fluid

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

RIMMING FLOW OF A WEAKLY ELASTIC FLUID

Form of presentation

Articles in international journals and collections

Year of publication

2014

Authors, employees of KFU

Chugunov Vladimir Arkadevich, author

Other authors

S. Fomin; R. Shankar; N. Danes; A. Yasuda

Bibliographic description in the original language

S. Fomin, R. Shankar, N. Danes, A. Yasuda, V. Chugunov. Rimming flow of a weakly elastic fluid // Theoretical and Computational Fluid Mechanics, 2014, DOI 10.1007/s00162-014-0327-4, Volume 28, Issue 5, pp 485-498

Annotation

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.

Keywords

Rimming flow,Visco-elastic fluid,Approximate model

The name of the journal

Theoretical and Computational Fluid Dynamics

URL

http://link.springer.com/article/10.1007%2Fs00162-014-0327-4

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=86545&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Chugunov Vladimir Arkadevich	ru_RU
dc.date.accessioned	2014-01-01T00:00:00Z	ru_RU
dc.date.available	2014-01-01T00:00:00Z	ru_RU
dc.date.issued	2014	ru_RU
dc.identifier.citation	S. Fomin, R. Shankar, N. Danes, A. Yasuda, V. Chugunov. Rimming flow of a weakly elastic fluid // Theoretical and Computational Fluid Mechanics, 2014, DOI 10.1007/s00162-014-0327-4, Volume 28, Issue 5, pp 485-498	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=86545&p_lang=2	ru_RU
dc.description.abstract	Theoretical and Computational Fluid Dynamics	ru_RU
dc.description.abstract	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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Rimming flow	ru_RU
dc.subject	Visco-elastic fluid	ru_RU
dc.subject	Approximate model	ru_RU
dc.title	Rimming flow of a weakly elastic fluid	ru_RU
dc.type	Articles in international journals and collections	ru_RU