Abstract
The classical problem of oscillations of liquid droplets is a good test for the applicability of computer simulation. We discuss the details of our approach to a simulation scheme based on the Boltzmann lattice equation. We show the results of modeling induced vibrations in a chain of three drops in a closed tube. In the initial position, the central drop has formed as an ellipsoid, out of the spherical equilibrium form. The excitation of vibrations in the left and right droplets depends on the viscosity of the surrounding fluid and the surface tension. Droplets are moving out of the initial position as well. We discuss the limits of the applicability of our model for the study of such a problem. We will also show the dynamics of the simulated process.
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References
Simonelli, M., et al.: Towards digital metal additive manufacturing via high-temperature drop-on-demand jetting. Addit. Manuf. 30, 100930 (2019)
Ben-Barak, I., et al.: Drop-on-Demand 3D printing of lithium iron phosphate cathodes. J. Electrochem. Soc. 166, A5059 (2019)
Yuan, D., Moghanloo, R.G.: Nanofluid pre-treatment, an effective strategy to improve the performance of low-salinity waterflooding. J. Petrol. Sci. Eng. 165, 978 (2018)
Ibrahim, M., Chakrabarty, K., Zeng, J.: BioCyBig: a cyberphysical system for integrative microfluidics-driven analysis of genomic association studies. IEEE Trans. Big Data (2016). https://doi.org/10.1109/TBDATA.2016.2643683
Esmaeili, S.: An artificial blood vessel fabricated by 3D printing for pharmaceutical application. Nanomed J. 6, 183 (2019)
Freitas, V.M., Hilfenhaus, G., Iruela-Arispe, M.L.: Metastasis of circulating tumor cells: speed matters. Dev. Cell 45, 3 (2018)
Succi, S.: The Lattice Boltzmann Equation: For Complex States of Flowing Matter. Oxford University Press, Oxford (2018)
Shan, X., Doolen, G.: Multicomponent lattice-Boltzmann model with interparticle interaction. J. Stat. Phys. 81, 379 (1995)
Beatus, T., Bar-Ziv, R.H., Tlusty, T.: The physics of 2D microfluidic droplet ensembles. Phys. Rep. 512, 103 (2012)
Latt, J., et al.: Palabos: Parallel Lattice Boltzmann Solver. Comput. Math. Appl. (2020, in Press). https://doi.org/10.1016/j.camwa.2020.03.022
Shan, X., Chen, H.: Lattice Boltzmann model for simulating flows with multiple phases and components. Phys. Rev. E 47, 1815 (1993)
Suga, K., Kuwata, Y., Takashima, K., Chikasue, R.: A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows. Comput. Math. Appl. 69, 518 (2015)
Krüeger, T., Kusumaatmaja, H., Kuzmin, A., Shardt, O., Silva, G., Viggen, E.M.: The Lattice Boltzmann Method, Principles and Practice. Springer, Cham (2017)
Bhatnagar, P.L., Gross, E.P., Krook, M.: A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys. Rev. 94, 511 (1954)
Rayleigh, L.: On the capillary phenomenon of jets. Proc. R. Soc. London 29, 71 (1879)
Lamb, H.: Hydrodynamics. Dover, New York (1932)
Guskova, M., Shchur, V., Shchur, L.: Simulation of drop oscillation using the lattice Boltzmann method. Lobachevskii J. Math. 41(6), 992–995 (2020)
Landau, L.D., Lifshitz, E.M.: Course of Theoretical Physics VI: Fluid Mechanics. Pergamon Press, Oxford (1982)
Acknowledgment
We are thankful to S. Succi for the discussion, which triggers our interest in the problem of the drop chain stability.
Cluster Manticore of Science Center in Chernogolovka and the Supercomputing facility of the National Research University Higher School of Economics have been used for simulations. The work is carried out according to the project of the Russian Science Foundation 19-11-00286 and partially according to the RFBR project 20-07-00145.
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Shchur, L., Guskova, M. (2020). Drop Oscillation Modeling. In: Voevodin, V., Sobolev, S. (eds) Supercomputing. RuSCDays 2020. Communications in Computer and Information Science, vol 1331. Springer, Cham. https://doi.org/10.1007/978-3-030-64616-5_17
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DOI: https://doi.org/10.1007/978-3-030-64616-5_17
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