dc.contributor.author |
Alimov M. |
|
dc.contributor.author |
Kornev K. |
|
dc.date.accessioned |
2018-09-18T20:22:02Z |
|
dc.date.available |
2018-09-18T20:22:02Z |
|
dc.date.issued |
2014 |
|
dc.identifier.issn |
1364-5021 |
|
dc.identifier.uri |
https://dspace.kpfu.ru/xmlui/handle/net/139136 |
|
dc.description.abstract |
Using the method of matched asymptotic expansions, the problem of the capillary rise of a meniscus on the complex-shaped fibres was reduced to a nonlinear problem of determination of a minimal surface. This surface has to satisfy a special boundary condition at infinity. The proposed formulation allows one to interpret the meniscus problem as a problem of flow of a fictitious non-Newtonian fluid through a porous medium. As an example, the shape of a meniscus on a fibre of an oval cross section was analysed employing Chaplygin's hodograph transformation. It was discovered that the contact line may form singularities even if the fibre has a smooth profile: this statement was illustrated with an oval fibre profile having infinite curvature at two endpoints. © 2014 The Author(s) Published by the Royal Society. All rights reserved. |
|
dc.relation.ispartofseries |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
|
dc.subject |
Capillary rise |
|
dc.subject |
Complex variables |
|
dc.subject |
Hodograph transformation |
|
dc.subject |
Matched asymptotics |
|
dc.subject |
Minimal surfaces |
|
dc.subject |
Singularities |
|
dc.title |
Meniscus on a shaped fibre: Singularities and hodograph formulation |
|
dc.type |
Article |
|
dc.relation.ispartofseries-issue |
2168 |
|
dc.relation.ispartofseries-volume |
470 |
|
dc.collection |
Публикации сотрудников КФУ |
|
dc.source.id |
SCOPUS13645021-2014-470-2168-SID84904015357 |
|