KFU. Card publication. Exact Solution for Capillary Waves on the Surface of a Liquid of Finite Depth

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FEDERAL UNIVERSITY

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EXACT SOLUTION FOR CAPILLARY WAVES ON THE SURFACE OF A LIQUID OF FINITE DEPTH

Form of presentation

Articles in international journals and collections

Year of publication

2023

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Authors, employees of KFU

Alimov Mars Myasumovich, author

Bibliographic description in the original language

Alimov M.M., Exact Solution for Capillary Waves on the Surface of a Liquid of Finite Depth//Russian Mathematics. - 2023. - Vol.67, Is.9. - P.52-67.

Annotation

An attempt was made to reproduce, using the Schwartz function method, the well-known exact solution of Kinnersley to the problem of capillary waves on the surface of a liquid of finite depth. However, as a result, a new exact solution was obtained, which does not coincide with the solution of Kinnersley, although it is expressed in the same terms of Jacobi elliptic functions. The results of an independent numerical verification of the new solution are presented, confirming its reliability. The parametric analysis of the solution revealed, in particular, a nonmonotonic dependence of the wavelength and its amplitude on the Weber number.

Keywords

capillary wave, potential flow, complex variable, elliptic function

The name of the journal

Russian Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85179741588&doi=10.3103%2fS1066369X23090050&partnerID=40&md5=42aa7046e57a4953e03d281e70ada159

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

https://repository.kpfu.ru/eng/?p_id=296052&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Alimov Mars Myasumovich	ru_RU
dc.date.accessioned	2023-01-01T00:00:00Z	ru_RU
dc.date.available	2023-01-01T00:00:00Z	ru_RU
dc.date.issued	2023	ru_RU
dc.identifier.citation	Alimov M.M., Exact Solution for Capillary Waves on the Surface of a Liquid of Finite Depth//Russian Mathematics. - 2023. - Vol.67, Is.9. - P.52-67.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=296052&p_lang=2	ru_RU
dc.description.abstract	Russian Mathematics	ru_RU
dc.description.abstract	An attempt was made to reproduce, using the Schwartz function method, the well-known exact solution of Kinnersley to the problem of capillary waves on the surface of a liquid of finite depth. However, as a result, a new exact solution was obtained, which does not coincide with the solution of Kinnersley, although it is expressed in the same terms of Jacobi elliptic functions. The results of an independent numerical verification of the new solution are presented, confirming its reliability. The parametric analysis of the solution revealed, in particular, a nonmonotonic dependence of the wavelength and its amplitude on the Weber number.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	capillary wave	ru_RU
dc.subject	potential flow	ru_RU
dc.subject	complex variable	ru_RU
dc.subject	elliptic function	ru_RU
dc.title	Exact Solution for Capillary Waves on the Surface of a Liquid of Finite Depth	ru_RU
dc.type	Articles in international journals and collections	ru_RU