Semi-analytical investigation of unsteady free-boundary flows

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

doi:10.1063/1.5007423

Semi-analytical investigation of unsteady free-boundary flows

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

Кафедра гидродинамики ММФ

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › рецензирование

1 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Название основной публикации	Application of Mathematics in Technical and Natural Sciences
Подзаголовок основной публикации	9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
Редакторы	MD Todorov
Издатель	American Institute of Physics Inc.
Число страниц	10
Том	1895
ISBN (электронное издание)	9780735415799
DOI	https://doi.org/10.1063/1.5007423
Состояние	Опубликовано - 12 окт 2017
Событие	9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 - Albena, Varna, Болгария Продолжительность: 21 июн 2017 → 26 июн 2017

Серия публикаций

Название	AIP Conference Proceedings
Издатель	AMER INST PHYSICS
Том	1895
ISSN (печатное издание)	0094-243X

Конференция

Конференция	9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017
Страна	Болгария
Город	Albena, Varna
Период	21.06.2017 → 26.06.2017

Доступ к документу

10.1063/1.5007423

Link to publication in Scopus

Fingerprint Подробные сведения о темах исследования «Semi-analytical investigation of unsteady free-boundary flows». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

Karabut, E. A., Petrov, A. G., & Zhuravleva, E. N. (2017). Semi-analytical investigation of unsteady free-boundary flows. В MD. Todorov (Ред.), Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017 (Том 1895). [120006] (AIP Conference Proceedings; Том 1895). American Institute of Physics Inc.. https://doi.org/10.1063/1.5007423

Karabut, E. A. ; Petrov, A. G. ; Zhuravleva, E. N. / Semi-analytical investigation of unsteady free-boundary flows. Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017. редактор / MD Todorov. Том 1895 American Institute of Physics Inc., 2017. (AIP Conference Proceedings).

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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 Pad{\'e} approximants and a change of variables of a certain special type. The free boundary shape and the pressure and velocity distributions are found.",

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Karabut, EA, Petrov, AG & Zhuravleva, EN 2017, Semi-analytical investigation of unsteady free-boundary flows. в MD Todorov (ред.), Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017. том. 1895, 120006, AIP Conference Proceedings, том. 1895, American Institute of Physics Inc., 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017, Albena, Varna, Болгария, 21.06.2017. https://doi.org/10.1063/1.5007423

Semi-analytical investigation of unsteady free-boundary flows. / Karabut, E. A.; Petrov, A. G.; Zhuravleva, E. N.

Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017. ред. / MD Todorov. Том 1895 American Institute of Physics Inc., 2017. 120006 (AIP Conference Proceedings; Том 1895).

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › рецензирование

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Karabut EA, Petrov AG, Zhuravleva EN. Semi-analytical investigation of unsteady free-boundary flows. В Todorov MD, редактор, Application of Mathematics in Technical and Natural Sciences: 9th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2017. Том 1895. American Institute of Physics Inc. 2017. 120006. (AIP Conference Proceedings). https://doi.org/10.1063/1.5007423