KFU. Card publication. Determination of the Velocity Field of Doubly Periodic Potential Flows

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

DETERMINATION OF THE VELOCITY FIELD OF DOUBLY PERIODIC POTENTIAL FLOWS

Form of presentation

Articles in international journals and collections

Year of publication

2022

Язык

английский

Authors, employees of KFU

Alimov Mars Myasumovich, author

Bibliographic description in the original language

Alimov M.M., Determination of the Velocity Field of Doubly Periodic Potential Flows//Lobachevskii Journal of Mathematics. - 2022. - Vol.43, Is.10. - P.2918-2925.

Annotation

We are interested in the problem of exact determination of the velocity field for potential flows initiated by an arbitrary doubly periodic system of hydrodynamic singularities. If we use the well-known formula for finding an elliptic function from its known singularities, then the field is determined up to an arbitrary additive constant. We formulate and solve auxiliary hydrodynamic problems to eliminate this ambiguity. Finally, using hydrodynamic terms, we give some proposition that allows us to uniquely determine the velocity field of any potential flow initiated by an arbitrary doubly periodic system of hydrodynamic singularities.

Keywords

complex variable, elliptic functions, potential flows

The name of the journal

Lobachevskii Journal of Mathematics

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85147497176&doi=10.1134%2fS1995080222130054&partnerID=40&md5=04dfbfe9cae0e55872d49ea6cabf1530

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

https://repository.kpfu.ru/eng/?p_id=278561&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Alimov Mars Myasumovich	ru_RU
dc.date.accessioned	2022-01-01T00:00:00Z	ru_RU
dc.date.available	2022-01-01T00:00:00Z	ru_RU
dc.date.issued	2022	ru_RU
dc.identifier.citation	Alimov M.M., Determination of the Velocity Field of Doubly Periodic Potential Flows//Lobachevskii Journal of Mathematics. - 2022. - Vol.43, Is.10. - P.2918-2925.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=278561&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.abstract	We are interested in the problem of exact determination of the velocity field for potential flows initiated by an arbitrary doubly periodic system of hydrodynamic singularities. If we use the well-known formula for finding an elliptic function from its known singularities, then the field is determined up to an arbitrary additive constant. We formulate and solve auxiliary hydrodynamic problems to eliminate this ambiguity. Finally, using hydrodynamic terms, we give some proposition that allows us to uniquely determine the velocity field of any potential flow initiated by an arbitrary doubly periodic system of hydrodynamic singularities.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	complex variable	ru_RU
dc.subject	elliptic functions	ru_RU
dc.subject	potential flows	ru_RU
dc.title	Determination of the Velocity Field of Doubly Periodic Potential Flows	ru_RU
dc.type	Articles in international journals and collections	ru_RU