Numerical modeling of unsteady behavior of stratified fluid with immersed solid inclusion in a high-frequency vibrational field

Authors

  • Dmitriy Viktorovich Lyubimov Perm State National Research University
  • Tatiana Petrovna Lyubimova Institute of Continuous Media Mechanics UB RAS
  • Ksenia Viktorovna Ponomareva Institute of Continuous Media Mechanics UB RAS
  • Oleg Anatolievich Khlybov Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2013.6.3.30

Keywords:

stratified fluid, high-frequency vibrations, quasi-equilibrium, diffusion

Abstract

The unsteady behavior of a stratified fluid with an immersed solid inclusion in zero gravity conditions is studied numerically in the framework of average approach. The fluid and solid inclusion are in a closed cavity and subjected to high-frequency translational vibrations. It is shown that the system tends to the quasi-equilibrium state in which the fields of density gradient and pulsational velocity gradient are similar. It is found that in the presence of diffusion three different regimes of establishment of quasi-equilibrium are possible depending on the values of diffusion coefficient and vibrational parameter.

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References

Lyubimov D.V. Convective flows under the influence of high-frequency vibrations // Eur. J. Mech. B/Fluids. - 1995. - V. 14, N. 4. - P. 439-458.
2. Riley N. On a sphere oscillating in a viscous fluid // Q. J. Mech. Appl. Math. - 1966. - V. 19, N. 4. - P. 461-472. DOI
3. Gopinath A. Steady streaming due to small-amplitude torsional oscillations of a sphere in a viscous fluids // Q. J. Mech. Appl. Math. - 1993. - V. 46, N. 3. - P. 501-520. DOI
4. Dore B.D. Oscillations in a non-homogeneous viscous fluid // Tellus Series A. - 1968. - V. 20, N. 4. - P. 514-523. DOI
5. Lubimova T.P., Cerepanova A.A. Tecenia, induciruemye kolebaniami nagretoj sfery // Vycisl. meh. splos. sred. - 2011. - T. 4, No 3. - S. 74-82. DOI
6. Cherepanov A.A., Lyubimov D.V., Lyubimova T.P., Roux B. Deformation of gas or drop inclusion in high frequency vibrational field // Microgravity Quarterly. - 1996. - V. 16, N. 2-3. - P. 69-73.
7. Lubimov D.V., Lubimova T.P. Ob odnom metode skvoznogo sceta dla resenia zadac s deformiruemoj poverhnost’u razdela // Modelirovanie v mehanike. - 1990. - T. 4 (21), No 1. - S. 136-140.
8. Lubimov D.V., Lubimova T.P., Cerepanov A.A. Dinamika poverhnostej razdela v vibracionnyh polah. - M.: Fizmatlit, 2003. - 216 s.

Published

2013-10-18

Issue

Section

Articles

How to Cite

Lyubimov, D. V., Lyubimova, T. P., Ponomareva, K. V., & Khlybov, O. A. (2013). Numerical modeling of unsteady behavior of stratified fluid with immersed solid inclusion in a high-frequency vibrational field. Computational Continuum Mechanics, 6(3), 269-276. https://doi.org/10.7242/1999-6691/2013.6.3.30