Semi-analytical investigation of unsteady free-boundary flows

E. A. Karabut, A. G. Petrov, E. N. Zhuravleva

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

1 Citation (Scopus)

Abstract

A problem from the class of unsteady plane flows of an incompressible ideal fluid with a free boundary is considered. A conformal mapping of the exterior of a unit circle onto the region occupied by the fluid is sought. The solution is constructed in the form of power series with respect to time, which are analytically continued with the use of Padé approximants and a change of variables of a certain special type. The free boundary shape and the pressure and velocity distributions are found.

Original languageEnglish
Title of host publicationApplication of Mathematics in Technical and Natural Sciences
Subtitle of host publication9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
EditorsMD Todorov
PublisherAmerican Institute of Physics Inc.
Number of pages10
Volume1895
ISBN (Electronic)9780735415799
DOIs
Publication statusPublished - 12 Oct 2017
Event9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 - Albena, Varna, Bulgaria
Duration: 21 Jun 201726 Jun 2017

Publication series

NameAIP Conference Proceedings
PublisherAMER INST PHYSICS
Volume1895
ISSN (Print)0094-243X

Conference

Conference9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
CountryBulgaria
CityAlbena, Varna
Period21.06.201726.06.2017

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