Lattice Boltzmann simulation of rising bubble dynamics using an effective buoyancy method

Merlin Ngachin (), Rinaldo G. Galdamez (), Seckin Gokaltun () and Michael C. Sukop ()
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Merlin Ngachin: Waste Control Specialists LLC, 9998 W State Highway 176, Andrews, TX 79714, USA
Rinaldo G. Galdamez: Crane Aerospace & Electronics, 16700 13th Ave W, Lynnwood, WA 98037, USA
Seckin Gokaltun: Applied Research Center, Florida International University, 10555 W Flagler St. EC2100, Miami, FL 33174, USA
Michael C. Sukop: Department of Earth and Environment, Florida International University, 11200 SW 8th Street, AHC-5, 369, Miami, FL 33199, USA

International Journal of Modern Physics C (IJMPC), 2015, vol. 26, issue 03, 1-18

Abstract: This study describes the behavior of bubbles rising under gravity using the Shan and Chen-type multicomponent multiphase lattice Boltzmann method (LBM) [X. Shan and H. Chen,Phys. Rev. E47, 1815 (1993)]. Two-dimensional (2D) single bubble motions were simulated, considering the buoyancy effect for which the topology of the bubble was characterized by the nondimensional Eötvös (Eo), and Morton(M)numbers. In this study, a new approach based on the "effective buoyancy" was adopted and proven to be consistent with the expected bubble shape deformation. This approach expands the range of effective density differences between the bubble and the liquid that can be simulated. Based on the balance of forces acting on the bubble, it can deform from spherical to ellipsoidal shape with skirts appearing at high Eo number. A benchmark computational case for qualitative and quantitative validation was performed using COMSOL Multiphysics based on the level set method. Simulations were conducted for 1 ≤ Eo ≤ 100 and3 × 10-6≤ M ≤ 2.73 × 10-3. Interfacial tension was checked through simulations without gravity, where Laplace's law was satisfied. Finally, quantitative analyses based on the terminal rise velocity and the degree of circularity was performed for various Eo andMvalues. Our results were compared with both the theoretical shape regimes given in literature and available simulation results.

Keywords: Lattice Boltzmann method; bubble dynamics; multiphase flow; 47.55.dd; 47.11.-j; 47.11.Fg (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1142/S012918311550031X

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