Kazan (Volga region) Federal University, KFU
KAZAN
FEDERAL UNIVERSITY
 
POLUBARINOVA?GALIN EQUATION FOR HELE-SHAW FLOWS WITH TWO FREE BOUNDARIES
Form of presentationArticles in international journals and collections
Year of publication2023
Языканглийский
  • Alimov Mars Myasumovich, author
  • Bibliographic description in the original language Alimov M.M., Polubarinova?Galin Equation for Hele-Shaw Flows with Two Free Boundaries//Lobachevskii Journal of Mathematics. - 2023. - Vol.44, Is.10. - P.4418-4428.
    Annotation We derive the Polubarinova–Galin equation for unsteady Hele-Shaw flows in the case when the flow region has two free boundaries. We find two variants of this equation. To test both variants of the equation, we analyzed an example of the evolution of a “liquid ring” in a Hele-Shaw cell under the action of a fixed pressure drop inside and outside the ring.
    Keywords complex variable, potential flows
    The name of the journal Lobachevskii Journal of Mathematics
    URL https://www.scopus.com/inward/record.uri?eid=2-s2.0-85183363696&doi=10.1134%2fS1995080223100049&partnerID=40&md5=417c9be69abf1b9dba06be4170e60fa1
    Please use this ID to quote from or refer to the card https://repository.kpfu.ru/eng/?p_id=296053&p_lang=2

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