KFU. Card publication. An External Meniscus on a Thin Fiber Whose Profile Has Separate Rectification Points

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AN EXTERNAL MENISCUS ON A THIN FIBER WHOSE PROFILE HAS SEPARATE RECTIFICATION POINTS

Form of presentation

Articles in international journals and collections

Year of publication

2020

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Authors, employees of KFU

Alimov Mars Myasumovich, author

Bibliographic description in the original language

Alimov M.M, Kornev K.G., An External Meniscus on a Thin Fiber Whose Profile Has Separate Rectification Points // Russian Mathematics. - 2020. - Vol.64, Is.1. - P. 3-10.

Annotation

We clarify the limits of applicability of the previously developed asymptotic method for defining the configuration of an external meniscus of a liquid on a thin fiber. As was found out earlier, if the fiber material is fully wet, while the fiber profile has rectilinear parts, then the mentioned method gives unsatisfactory results when being applied near the fiber, because it leads to the infinite growth of the contact line. We prove that in the case when a smooth convex fiber profile contains only separate rectification points, the asymptotic approach predicts the meniscus shape, as a whole, satisfactory. However, it inadequately describes the behavior of the contact line near rectification points of the profile, namely, it gives a line with breaks instead of an expected smooth one.

Keywords

capillary rise, minimal surface, matched asymptotics, complex variable

The name of the journal

Russian Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85083056972&doi=10.3103%2fS1066369X20010016&partnerID=40&md5=7b48bbbad62c334a26d5d41fa980c8ae

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

https://repository.kpfu.ru/eng/?p_id=233437&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Alimov Mars Myasumovich	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	Alimov M.M, Kornev K.G., An External Meniscus on a Thin Fiber Whose Profile Has Separate Rectification Points // Russian Mathematics. - 2020. - Vol.64, Is.1. - P. 3-10.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=233437&p_lang=2	ru_RU
dc.description.abstract	Russian Mathematics	ru_RU
dc.description.abstract	We clarify the limits of applicability of the previously developed asymptotic method for defining the configuration of an external meniscus of a liquid on a thin fiber. As was found out earlier, if the fiber material is fully wet, while the fiber profile has rectilinear parts, then the mentioned method gives unsatisfactory results when being applied near the fiber, because it leads to the infinite growth of the contact line. We prove that in the case when a smooth convex fiber profile contains only separate rectification points, the asymptotic approach predicts the meniscus shape, as a whole, satisfactory. However, it inadequately describes the behavior of the contact line near rectification points of the profile, namely, it gives a line with breaks instead of an expected smooth one.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	capillary rise	ru_RU
dc.subject	minimal surface	ru_RU
dc.subject	matched asymptotics	ru_RU
dc.subject	complex variable	ru_RU
dc.title	An External Meniscus on a Thin Fiber Whose Profile Has Separate Rectification Points	ru_RU
dc.type	Articles in international journals and collections	ru_RU