Математическая модель кавитации под воздействием одиночного импульса растяжения

Обложка

Цитировать

Полный текст

Аннотация

В данной статье описана созданная математическая модель, позволяющая исследовать динамику кавитационных пузырьков под воздействием одиночного импульса отрицательного давления. Временная зависимость и координаты параметров несущей фазы, температуры и давления паровой фазы, концентрации и размера пузырьков определяются численно. Сделан вывод, что созданная модель дает хорошее согласие между расчетными и экспериментальными данными.

Об авторах

Николай Юрьевич Кравченко

Российский университет дружбы народов

Автор, ответственный за переписку.
Email: kravchenko-nyu@rudn.ru

Deputy Director of Institute of Physical Research and Technology

6, Miklukho-Maklaya str., Moscow, 117198, Russian Federation

Дмитрий Сергеевич Кулябов

Российский университет дружбы народов

Email: kulyabov-ds@rudn.ru

Doctor of Sciences in Physics and Mathematics, Full Professor, Department of Applied Probability and Informatics

6, Miklukho-Maklaya str., Moscow, 117198, Russian Federation

Список литературы

  1. N. Yu. Kravchenko, M. M. Martynyuk, Dynamics of homogeneous cavitation bubbles in water under large amplitude pressure oscillations, Bulletin of Peoples’ Friendship University of Russia. Series: Physics 8 (2000) 118-121, in Russian.
  2. A. A. Aganina, M. A. Ilgamov, D. Yu. Toporkova, Dependence of vapor compression in cavitation bubbles in water and benzol on liquid pressure, Proceedings of Kazan University. Physics and Mathematics Series [Uchenye zapiski kazanskogo universiteta. Seriya fiziko-matematicheskie nauki] 158 (2) (2016) 231-242. URL http://mi.mathnet.ru/eng/uzku1365
  3. M. M. Martynyuk, N. Yu. Kravchenko, Limit of thermodynamic stability of a liquid phase in the field of nefative pressure [Granitsa termodinamicheskoy ustoychivosti zhidkoy fazy v oblasti otritsatel’nykh davleniy], Russian Journal of Physical Chemistry 72 (6) (1998) 998-1001, in Russian.
  4. P. A. Tamanga, M. M. Martynyuk, N. Yu. Kravchenko, Spinodal of liquid phase on basis of generalized berthelo’s equation, Bulletin of Peoples’ Friendship University of Russia. Series: Physics (9) (2001) 56-58, in Russian.
  5. N. Yu. Kravchenko, The numerical solution of the Rayleigh-Plisset equation for spark cavitation and calculation of the maximum temperature and pressure in a cavity, Journal of Mechanics of Continua and Mathematical Sciences (Special Issue-1) (2019) 465-473. doi: 10.26782/jmcms.2019.03.00046.
  6. E. V. Butyugina, E. S. Nasibullaeva, Numerical study of the gas diffusion process between clustered bubbles and technical fluids [Issledovaniye protsessa diffuzii gaza mezhdu puzyr’kom v klastere i tekhnicheskoy zhidkost’yu], News of the Ufa Scientific Center [Izvestiya UNTS RAN] (2) (2016) 15-21, in Russian.
  7. A. B. Kapranova, A. E. Lebedev, A. M. Meltser, S. V. Neklyudov, S. E. M., Methods of modeling the developmental stages of hydrodynamic cavitation, Fundamental Research [Fundamental’nyye issledovaniya] (3) (2016) 268-273, in Russian.
  8. Modelling of cavitation and bubble growth during ultrasonic cleaning process, in: T. Sile, J. Virbulis, A. Timuhins, J. Sennikovs, U. Bethers (Eds.), Proc. of International Scientific Colloquium Modelling for Material Processing, September 16-17, Riga, Latvia, 2010, pp. 329-334.
  9. E. V. Volkova, E. S. Nasibullaeva, N. A. Gumerov, Numerical simulations of soluble bubble dynamics in acoustic fields, in: Proc. of the ASME 2012 International Mechanical Engineering Congress & Exposition (IMECE 2012), Houston, Texas, USA, 2012, pp. 317-323, 1 CD ROM.
  10. A. A. Gubaydullin, A. C. Gubkin, Behavior of bubbles in cluster with acoustic exposure [Povedeniye puzyr’kov v klastere pri akusticheskom vozdeystvii], Modern Science. Researches, Ideas, Results, Technologies (1 (12)) (2013) 363-367, in Russian.
  11. E. V. Butyugina, E. S. Nasibullaeva, N. A. Gumerov, I. S. Akhatov, Numerical simulation of gas microbubble dynamics in an acoustic field with account for rectified diffusion [Chislennoye modelirovaniye dinamiki gazovogo mikropuzyr’ka v akusticheskom pole s uchetom protsessa napravlennoy diffuzii], Vychislitelnaya mekhanika sploshnykh sred 7 (3) (2014) 234-244, in Russian.
  12. R. P. Taleyarkhan, C. D. West, J. S. Cho, R. T. Lahey Jr., R. I. Nigmatulin, R. C. Block, Evidence for nuclear emissions during acoustic cavitation, Science 295 (2002) 1868-1873. doi: 10.1126/science.1067589.
  13. R. P. Taleyarkhan, C. D. West, R. T. Lahey Jr., R. I. Nigmatulin, R. C. Block, Y. Xu, Nuclear emissions during self-nucleated acoustic cavitation, Physical Review Letters 96 (2006). doi: 10.1103/PhysRevLett.96.034301.
  14. M. M. Martynyuk, N. Yu. Kravchenko, Nuclear fusion reaction in mataphase substance in the process of electrical explosion [Reaktsii yadernogo sinteza v mezofaznom veshchestve v protsesse elektricheskogo vzryva], Applied Physics (1) (2003) 79-90, in Russian.
  15. R. I. Nigmatulin, I. S. Akhatov, A. S. Topolnikov, R. K. Bolotnova, N. K. Vakhitova, R. T. Lahey Jr., R. P. Taleyarkhan, The theory of supercompression of vapor bubbles and nano-scale thermonuclear fusion, Phys. Fluids 17 (10) (2005) 1-31, art. 107106. doi: 10.1063/1.2104556.
  16. M. M. Martynyuk, N. Yu. Kravchenko, Impact-cluster nuclear fusion. Conditions of excitation of the process, Bulletin of Peoples’ Friendship University of Russia. Series: Physics (1) (2005) 118-128, in Russian.
  17. Determination of temperature and pressure within the cavitational cavity [Opredeleniye temperatury i davleniya vnutri kavitatsionnoy polosti], in Russian.
  18. M. M. Martynyuk, P. A. Tamanga, N. Yu. Kravchenko, The titanium phase diagram at the phase transition region liquid-vapor, Bulletin of Peoples’ Friendship University of Russia. Series: Physics (10) (2002) 121-125, in Russian.
  19. V. N. Khmelev, S. S. Khmelev, R. N. Golykh, G. A. Bobrova, O. N. Krasulja, V. I. Bogush, S. Anandan, Experimental determining of conditions of ultrasonic influence for providing maximum cavitation intensity in medium [Eksperimental’noye opredeleniye usloviy ul’trazvukovogo vozdeystviya dlya obespecheniya maksimal’noy intensivnosti kavitatsii v srede], Yuzhno- Sibirskiy nauchnyy vestnik (4 (12)) (2015) 50-55, in Russian.
  20. A. A. Aganin, Dynamics of a small bubble in a compressible fluid, International Journal for Numerical Methods in Fluids 33 (2) (2000) 157-174. doi: 10.1002/(SICI)1097-0363(20000530)33:2<157::AID- FLD6>3.0.CO;2-A.

© Kravchenko N.Y., Kulyabov D.S., 2019

Creative Commons License
Эта статья доступна по лицензии Creative Commons Attribution 4.0 International License.

Данный сайт использует cookie-файлы

Продолжая использовать наш сайт, вы даете согласие на обработку файлов cookie, которые обеспечивают правильную работу сайта.

О куки-файлах