Forms of free borders of liquid on small times at joint vertical movement of elliptical cylinder and horizontal wall

Authors

  • Norkin M.V. Southern Federal University, Rostov-on-Don, Russian Federation
  • Yakovenko A.A. Southern Federal University, Rostov-on-Don, Russian Federation

UDC

519.634

Abstract

Simultaneous vertical movement of the elliptic cylinder and a horizontal wall (bottom) is considered which have been completely submerged in ideal incompressible liquid on small times. The feature of this task is that under certain conditions a liquid separation from a body occurs as a result of which near a body the cavity is formed and a new internal free border emerges. Generalization of the received results is given in case of detachable acceleration of the circular cylinder which has been partly submerged in liquid.

Keywords:

ideal incompressible liquid, elliptic cylinder, free border, cavity, small times, Frud number, cavity number

Author Infos

Mikhail V. Norkin

д-р физ.-мат. наук, профессор кафедры вычислительной математики и математической физики Южного федерального университета

e-mail: norkin@math.rsu.ru

Anton A. Yakovenko

аспирант кафедры вычислительной математики и математической физики Южного федерального университета

e-mail: anton.sfedu12@mail.ru

References

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  2. Norkin M., Korobkin A. The motion of the free-surface separation point during the initial stage of horizontal impulsive displacement of a floating circular cylinder // J. Eng. Math. 2011. Vol. 70. P. 239-254.
  3. Норкин М.В. Движение кругового цилиндра в жидкости после удара на малых временах с образованием каверны // Изв. РАН. МЖГ. 2012. №3. С. 101-112.
  4. Жуков М.Ю., Ширяева Е.В. Использование пакета конечных элементов FreeFem++ для задач гидродинамики, электрофореза и биологии. Ростов н/Д: ЮФУ, 2008. 256 с.

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Issue

2013. No. 2

Pages

67-73

Submitted

2013-03-29

Published

2013-06-24

How to Cite

Norkin M.V., Yakovenko A.A. Forms of free borders of liquid on small times at joint vertical movement of elliptical cylinder and horizontal wall. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2013, no. 2, pp. 67-73. (In Russian)

Copyright (c) 2013 Norkin M.V., Yakovenko A.A.

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This work is licensed under a Creative Commons Attribution 4.0 International License.