Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
DETERMINATION OF THE VELOCITY FIELD OF DOUBLY PERIODIC POTENTIAL FLOWS
Form of presentationArticles in international journals and collections
Year of publication2022
Языканглийский
  • 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

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