Оn Oscillations of a Semi-Cylinder Having a Cylindrical Cavity with Immiscible Liquids

The proposed paper presents the problem formulation, solutions and results of the research concerning dynamic characteristics and stability of small oscillations of a solid body simulating a space tanker or nautical gas carrier whose fuel tanks contain a cryogenic liquid. A distinctive feature of cryogenic liquid is low temperatures and different densities of liquid particles observed in the storage and operation processes, which greatly complicates the study of hydrodynamic problems. In our research cryogenic liquid is modeled by layers of immiscible liquids

References

[1] Babskiy V.G., Zhukov M.Yu., Kopachevskiy N.D., Myshkis A.D., Slobozhanin L.A., Tyuptsov A.D. Metody resheniya zadach gidromekhaniki dlya usloviy nevesomosti [Solving method for hydromechanical problems in conditions of zero gravity]. Kiev, Naukova dumka Publ., 1992. 592 p.

[2] Kalinichenko V.A., Nesterov S.V., Sekerzh-Zenkovich S.Ya. Theoretical and experimental study of finite amplitude wave parametric excitation in two-layer liquid. 9-y Vsesoyuznyy simpozium po difraktsii i rasprostraneniyu voln: Volny i difraktsiya. T. 2 [9th Аll-union workshop on diffraction and waves propagation: Waves and diffraction. Vol. 2]. Tbilisi, 1985, pp. 53–56 (in Russ.).

[3] Kalinichenko V.A., Sekerzh-Zenkovich S.Ya., Timofeev A.S. Experimental study of the velocity field of parametrically excited waves in a two-layer liquid. Fluid Dynamics, 1991, vol. 26, no. 5, pp. 771–775. DOI: 10.1007/BF01051000 Available at: https://link.springer.com/article/10.1007/BF01051000

[4] Temnov A.N., Ay Min Vin. On the motion of stratified liquid in the cavity of movable solid. Inzhenernyy zhurnal: nauka i innovatsii [Engineering Journal: Science and Innovation], 2012, no. 7 (in Russ.). DOI: 10.18698/2308-6033-2012-7-291 Available at: http://engjournal.ru/catalog/eng/teormech/291.html

[5] Goncharov D.A. Dynamics of two-layer liquid divided by an elastic dividing wall with an allowance for surface tension forces. Nauka i obrazovanie: nauchnoe izdanie MGTU im. N.E. Baumana [Science and Education: Scientific Publication], 2013, no. 11 (in Russ.). DOI: 10.7463/1113.0619258 Available at: http://technomag.bmstu.ru/doc/619258.html

[6] Pozhalostin A.A., Goncharov D.A., Kokushkin V.V. Small oscillations of two-layer liquid in view permeability of separator. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2014, no. 5, pp. 109–116 (in Russ.).

[7] Chashechkin Yu.D. Fluid mechanics: consistent analytical, numerical and laboratory models of stratified flows. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2014, no. 6, pp. 67–95 (in Russ.).

[8] Temnov A.N., Vin Ko Ko. Oscillations of immiscible liquids in a stationary cylindrical vessel and their mechanical analogs. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2016, no. 3, pp. 57–69 (in Russ.). DOI: 10.18698/1812-3368-2016-3-57-69

[9] Kosmicheskie zapravki mogut poyavitsya na orbitakh Zemli i Luny [Space filling station can appear at the Earth and Moon orbits]. newsnn.ru: website (in Russ.). Available at: http://newsnn.ru/news/2017/01/23/165940 (accessed: 15.06.2017).

[10] Temnov A.N., Vin Ko Ko. Oscillations of immiscible liquids in cylindrical vessel in process of plane motion. Nauka i obrazovanie: nauchnoe izdanie [Science and Education: Scientific Publication], 2016, no. 10, pp. 85–101 (in Russ.). URL: http://technomag.edu.ru/jour/article/view/1067

[11] Moiseev N.K., Rumyantsev V.V. Dinamika tela s polostyami, soderzhashchimi zhidkost [Dynamics of body with cavities filled by the fluid]. Moscow, Nauka Publ., 1966. 440 p.

[12] Kolesnikov K.S. Dinamika raket [Rocket dynamics]. Moscow, Mashinostroenie Publ., 2003. 520 p.

[13] Martinson L.K., Malov Yu.I. Differentsialnye uravneniya matematicheskoy fiziki [Differential equation of mathematical physics]. Moscow, Bauman MSTU Publ., 2002. 185 p.

[14] Popov E.P. Teoriya lineynykh sistem avtomaticheskogo regulirovaniya i upravleniya [Theory of linear systems of automatic regulation and control]. Moscow, Nauka Publ., 1989. 304 p.