Abstract: Exact solutions of the classical problem of a plane unsteady potential flow of an ideal incompressible fluid with a free boundary are presented. The fluid occupies a semi-infinite strip bounded from above by the free surface and from the sides by two solid vertical walls approaching each other with a constant velocity. Solutions are obtained for a situation where the capillary and gravity forces are absent, and the fluid motion is entirely determined by the motion of the walls. Singularities inevitably arise in the solutions of the equations of motion in a finite time: this time is limited from above by the moment of collision of the walls. Examples of exact solutions corresponding to the formation of bubbles, cusps, and droplets are considered.

Cite: Zhuravleva E.N. , Zubarev N.M. , Zubareva O.V. , Karabut E.A.
Exact Solutions to the Problem of Dynamics of a Liquid with a Free Surface between Two Approaching Vertical Walls
Doklady Physics. 2021. V.66. N12. P.348-352. DOI: 10.1134/s1028335821120090 WOS Scopus РИНЦ OpenAlex

Original: Журавлева Е.Н. , Зубарев Н.М. , Зубарева О.В. , Карабут Е.А.
ТОЧНЫЕ РЕШЕНИЯ ЗАДАЧИ О ДИНАМИКЕ ЖИДКОСТИ СО СВОБОДНОЙ ПОВЕРХНОСТЬЮ, ПОМЕЩЕННОЙ МЕЖДУ ДВУМЯ СБЛИЖАЮЩИМИСЯ ВЕРТИКАЛЬНЫМИ СТЕНКАМИ
Доклады Российской академии наук. Физика, технические науки.. 2021. Т.501. №1. С.42-47. DOI: 10.31857/s2686740021060171 РИНЦ OpenAlex

Identifiers:

Web of science:	WOS:000768427500005
Scopus:	2-s2.0-85127126200
Elibrary:	48929819
OpenAlex:	W4225337560

Citing:

DB	Citing
OpenAlex	1
Elibrary	1
Scopus	1
Web of science	1

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