Terminal shape and velocity of a rising bubble by phase-field-based incompressible Lattice Boltzmann model |
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| Institution: | 1. School of Marine Science and Technology, Northwestern Polytechnical University, Xi''an, Shaanxi 710072, China;2. Department of Earth and Environment, Florida International University, 11200 SW 8th Street, Miami, FL 33199, USA;1. Discipline of Chemical and Environmental Engineering, School of Engineering, RMIT University, Melbourne, Victoria 3001, Australia;2. CSIRO Land and Water, Floreat, Western Australia 6014, Australia;3. CSIRO Mineral Resources, Floreat, Western Australia 6014, Australia;4. School of Mathematics and Statistics, University of Western Australia, Perth, Western Australia 6009, Australia;5. Department of Mechanical and Product Design Engineering, Swinburne University of Technology, Hawthorn, Victoria 3122, Australia;6. CSIRO Manufacturing, Clayton, Victoria3169, Australia;7. School of Mathematical Sciences, Monash University, Clayton, Victoria 3800, Australia;1. Normandie Université, UNIROUEN, UNICAEN, CNRS, Morphodynamique Continentale et Côtière M2C -UMR 6143, 76000 Rouen, France,;2. Centre d’études et d''Expertise sur les Risques, l''Environnement, la Mobilité et l''Aménagement (Cerema), Laboratoire Régional de Rouen (LRR), Unité “Electromagnétisme Appliqué, Le Grand Quevilly, France;1. Department of Soils, Water and Agricultural Engineering, Sultan Qaboos University, Oman;2. Institute of Mathematics and Mechanics, Kazan Federal University, Russia;1. Department ICEA, University of Padova, Via Loredan 20, Padova 35131, Italy;2. HER Laboratory, University of Padova, Italy;3. International Center of Tidal Hidro- and Morphodynamics, University of Padova, Italy;1. Department of Mechanical Engineering, University of Tehran, Tehran, Iran;2. CORIA-UMR 6614, Normandie University, CNRS-University & INSA of Rouen, 76000 Rouen, France;3. Department of Mechanical, Robotics and Energy Engineering, Dongguk University, Seoul 04620, Republic of Korea;4. Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Iran |
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| Abstract: | This article describes the simulation of three-dimensional buoyancy-driven bubble rise using a phase-field-based incompressible Lattice Boltzmann model. The effect of the Cahn–Hilliard mobility parameter, which is the rate of diffusion relaxation from non-equilibrium toward equilibrium state of chemical potential, is evaluated in detail. In contrast with previous work that pursues a high density ratio of binary fluids in the hydrodynamic equation, we apply a large dynamic viscosity ratio, together with a matched density pair and a separate compensating gas phase buoyant force, and the numerical results fit previous experimental results well. Through analysis, it is noted that for cases with moderate Reynolds number, a large value of mobility keeps a relatively sharp interface, while smaller values of mobility would result in diffusive interfacial regions. Moreover, for cases with large Reynolds number, small bubbles at the tail tend to separate more easily when the value of mobility is larger. This article offers some potentially useful details for performing phase-field-based simulations. |
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