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Comparison of the Results of 2D and 3D Numerical Simulations of the Rising Bubble in Stagnant Viscous Liquid

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Abstract

This study is dedicated to comparison of the results of two-dimensional (2D) and three-dimensional (3D) numerical modeling of dynamics of a single bubble rising in stagnant viscous liquid. The volume of fluid method is used to track the moving interface. This method makes it possible to take into account all the forces acting on the interface in a natural way without using empirical data. The solution of the continuity equation, Navier–Stokes equation, and equation for determining the position of interface is based on the finite volume method. When carrying out numerical experiments, the bubble diameter at the initial time is fixed. It is shown that the shape of the bubbles in the vertical section of the computational domain is different in the case of 2D and 3D simulations. It has been established that the rising velocity of bubble in 3D simulation is greater than in 2D simulation.

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REFERENCES

  1. J. Hua, ‘‘CFD simulations of the effects of small dispersed bubbles on the rising of a single large bubble in 2D vertical channels,’’ Chem. Eng. Sci. 123, 99–115 (2015).

    Article  Google Scholar 

  2. R. Clift, J. R. Grase, and M. E. Weber, Bubbles, Drops and Particles (Academic, New York, 1978).

    Google Scholar 

  3. P. Zahedi, R. Saleh, R. Moreno-Atanasio, and K. Yousefi, ‘‘Influence of fluid properties on bubble formation, detachment, rising and collapse. Investigation using volume of fluid method,’’ Korean J. Chem. Eng. 31, 1349–1361 (2014).

    Article  Google Scholar 

  4. S. Siriano, N. Balcazar, A. Tassone, J. Rigola, and G. Caruso, ‘‘Numerical simulation of high-density ratio bubble motion with interIsoFoam,’’ Fluids 7 (5), 1–25 (2022).

    Article  Google Scholar 

  5. N. Heydari, F. Larachi, S. M. Taghavi, and F. Bertrand, ‘‘Three-dimensional analysis of the rising dynamics of individual ellipsoidal bubbles in an inclined column,’’ Chem. Eng. Sci. 258, 117759 (2022).

    Article  Google Scholar 

  6. J. C. Cano-Lozano and C. Martinez-Bazan, ‘‘Paths and wakes of deformable nearly spheroidal rising bubbles close to the transition to path instability,’’ Phys. Rev. Fluids 1, 053604-1–30 (2016).

    Article  Google Scholar 

  7. Y. Cao, I. M. Canals, and R. Macian-Juan, ‘‘Path instability of a compressible air bubble rising in quiescent water with consideration of variable thermophysical properties,’’ Int. J. Multiphase Flow 129, 103320 (2020).

    Article  MathSciNet  Google Scholar 

  8. D. A. Gubaidullin and B. A. Snigerev, ‘‘Numerical simulation of heat transfer during boiling flow of cryogenic fluid in vertical tube,’’ Lobachevskii J. Math. 41, 1210–1215 (2020).

    Article  MATH  Google Scholar 

  9. J. Klostermann, K. Schaake, and R. Schwarze, ‘‘Numerical simulation of a single rising bubble by VOF with surface compression,’’ Int. J. Numer. Meth. Fluids 71, 960–982 (2012).

    Article  MathSciNet  MATH  Google Scholar 

  10. S. Hysing, S. Turek, D. Kuzmin, N. Parolini, E. Burman, S. Ganesan, and L. Tobiska, ‘‘Quantitative benchmark computations of two-dimensional bubble dynamics,’’ Int. J. Numer. Meth. Fluids 60, 1259–1288 (2009).

    Article  MathSciNet  MATH  Google Scholar 

  11. L. Strubelj, I. Tiselj, and B. Mavko, ‘‘Simulations of free surface flows with implementation of surface tension and interface sharpening in the two-fluid model,’’ Int. J. Heat Fluid Flow 30, 741–750 (2009).

    Article  Google Scholar 

  12. C. W. Hirt and B. D. Nichols, ‘‘Volume of Fluid (VOF). Methods for the dynamics of free boundaries,’’ J. Comput. Phys. 39, 201–225 (1981).

    Article  MATH  Google Scholar 

  13. I. V. Morenko, ‘‘Numerical simulation of the propagation of pressure waves in water during the collapse of a spherical air cavity,’’ Ocean Eng. 215, 107905 (2020).

    Article  Google Scholar 

  14. I. V. Morenko, ‘‘Numerical simulation of the implosion process in a cylindrical tank,’’ High Temp. 57, 718–725 (2019).

    Article  Google Scholar 

  15. I. V. Morenko, ‘‘Features of swirling flow in a container with a rotating bottom,’’ Lobachevskii J. Math. 43, 1165–1170 (2022).

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute of Mechanics and Engineering, Kazan Scientific Center, Russian Academy of Sciences, 420111, Kazan, Russia

    I. V. Morenko

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  1. I. V. Morenko
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Correspondence to I. V. Morenko.

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(Submitted by D. A. Gubaidullin)

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Morenko, I.V. Comparison of the Results of 2D and 3D Numerical Simulations of the Rising Bubble in Stagnant Viscous Liquid. Lobachevskii J Math 44, 1752–1757 (2023). https://doi.org/10.1134/S1995080223050426

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  • DOI: https://doi.org/10.1134/S1995080223050426

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