Release:

2019, Vol. 5. №3Title:

Numerical study of the effect of surface tension on the flow structure in a cylindrical vessel, taking into account the maximum density of water
Authors:
Oleg A. Simonov, Lyudmila N. Filimonova

For citation:
Simonov O. A., Filimonova L. N. 2019. “Numerical study of the effect of surface tension on the flow structure in a cylindrical vessel, taking into account the maximum density of water”. Tyumen State University Herald. Physical and Mathematical Modeling. Oil, Gas, Energy, vol. 5, no 3, pp. 131-146. DOI: 10.21684/2411-7978-2019-5-3-131-146

About the authors:

Oleg A. Simonov, Cand. Sci. (Phys.-Math.), Deputy Director, Tyumen Scientific Center of the Siberian Branch of the Russian Academy of Sciences; Senior Researcher, Industrial University of Tyumen; eLibrary AuthorID, ORCID, Scopus AuthorID, s_o_a@ikz.ruLyudmila N. Filimonova, Junior Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences; Postgraduate Student, Tyumen Scientific Center of the Siberian Branch of the Russian Academy of Sciences; eLibrary AuthorID, ORCID, filimonovaln@mail.ru

Abstract:

A convective flow of water near the density inversion point in a cylindrical vessel, in the center of which a cylindrical cooling element is vertically located, was numerically investigated. The effect of the maximum density of water on the structure of convective flows without taking into account the surface tension and taking into account the surface tension at the upper boundary was studied. The significant effect of the surface tension at the interface between the phases(of phases) on the formation of a convective flow. The analysis of temperature and velocity fields shows that when taking into account the influence of surface tension, the convective flow of the liquid grows in intensity and average flow rates, which leads to a faster cooling of the liquid in the vessel.

References:

- Antonchenko V. Ya., Davydov A. S., Ilyin V. V. 1991. Foundations of Water Physics. Kiev: Nauk. dumka. [In Russian]
- Baturov L. N., Govor I. N. 2016. “Anomalies of the natural convection of water near 3.98 °C”. Technical Physics, vol. 61, no 2, pp. 171-174. DOI: 10.1134/S1063784216020067
- Baturov L. N., Govor I. N., Obukhov A. S., Plotnichenko V. G., Dianov E. M. 2011. “Detection of unequal phase transitions in water”. JETP Letters, vol. 93, no 2, pp. 91-93. DOI: 10.1134/S0021364011020032
- Pershin S. M., Krutyansky L. M., Lukyanchenko V. A. 2011. “On the revealing of nonequilibrium phase transitions in water”. JETP Letters, vol. 94, no 2, pp. 121-125. [In Russian]
- Sazhin B. S., Chunayev M. V., Sazhin V. B. 2009. “Thermocapillary mechanism of instability of a liquid layer (Marangoni effect)”. Advances in chemistry and chemical technology, vol. 23, no 3. [In Russian]
- Simonov O. A. 2017. "Cooling of bacterial suspensions". Proceedings of the Mavlyutov Institute of Mechanics, vol. 12, no 1, pp. 115-125. DOI: 10.21662/uim2017.1.017 [In Russian]
- Anselmi C., De Paz M., Marciano A., Pilo M., Sonnino G. 1990. “Free convection experiments in water and deuterated mixtures at temperatures including the density maxima”. International Journal of Heat and Mass Transfer, vol. 33, no 11, pp. 2519-2524. DOI: 10.1016/0017-9310(90)90009-J
- Cawley M. F., McBride P. 2004. “Flow visualization of free convection in a vertical cylinder of water in the vicinity of the density maximum”. International Journal of Heat and Mass Transfer, vol. 47, no 6-7, pp. 1175-1186. DOI: 10.1016/j.ijheatmasstransfer.2003.09.028
- Cawley M. F., McGlynn D., Mooney P. A. 2006. “Measurement of the temperature of density maximum of water solutions using a convective flow technique”. International Journal of Heat and Mass Transfer, vol. 49, no 11-12, pp. 1763-1772. DOI: 10.1016/j.ijheatmasstransfer.2005.11.018
- Marangoni C. 1865. Sull’espansione delle goccie di un liquid galleggiante sulla superficie di altro liquido. [In Italian]
- Simonov O. A. 2017. “Convective water flows in a cylindrical vessel near its maximum density”. AIP Conference Proceedings, vol. 030081, no 1893. DOI: 10.1063/1.5007539
- Sonnino G., De Paz M. 1997. “Comparison between experimental data and theoretical calculations of free convection in water near its density maximum”. Mathematical and Computer Modelling, vol. 25, no 6, pp. 107-115. DOI: 10.1016/S0895-7177(97)00043-5