Research output: Contribution to journal › Article › peer-review
Exact Solutions to the Problem of Dynamics of a Liquid with a Free Surface between Two Approaching Vertical Walls. / Zhuravleva, E. N.; Zubarev, N. M.; Zubareva, O. V. et al.
In: Doklady Physics, Vol. 66, No. 12, 12.2021, p. 348-352.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Exact Solutions to the Problem of Dynamics of a Liquid with a Free Surface between Two Approaching Vertical Walls
AU - Zhuravleva, E. N.
AU - Zubarev, N. M.
AU - Zubareva, O. V.
AU - Karabut, E. A.
N1 - Funding Information: This work was supported in part by the Russian Foundation for Basic Research, project nos. 19-01-00096 and 19-08-00098. Publisher Copyright: © 2021, Pleiades Publishing, Ltd.
PY - 2021/12
Y1 - 2021/12
N2 - 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.
AB - 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.
KW - exact solutions
KW - formation of singularities in a finite time
KW - free boundaries
KW - unsteady flows
UR - http://www.scopus.com/inward/record.url?scp=85127126200&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/0fa3c580-ca50-34d7-a850-8a548602095b/
U2 - 10.1134/S1028335821120090
DO - 10.1134/S1028335821120090
M3 - Article
AN - SCOPUS:85127126200
VL - 66
SP - 348
EP - 352
JO - Doklady Physics
JF - Doklady Physics
SN - 1028-3358
IS - 12
ER -
ID: 35811354