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

Ngachin, Merlin; Galdamez, Rinaldo G.; Gokaltun, Seckin; Sukop, Michael C.

doi:10.1142/s012918311550031x

Cited by 7 publications

(4 citation statements)

References 25 publications

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“…The Reynolds number of our pore‐scale calculation is small for both early stages (i.e., while bubbles interacts to form channels Re < 1) and MVP transport through channels (Re ∼ 1). In our pore‐scale simulations, various values for the Bond number are set by varying the magnitude of the buoyancy force acting on the vapor phase [ Ngachin et al ., ; Parmigiani et al ., ; Ren et al ., ].…”

Section: Mvp Mobility At the Pore Scale: The Competition Between Buoymentioning

confidence: 99%

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The mechanics of shallow magma reservoir outgassing

Parmigiani

Degruyter

Leclaire

et al. 2017

Geochem Geophys Geosyst

109

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Magma degassing fundamentally controls the Earth's volatile cycles. The large amount of gas expelled into the atmosphere during volcanic eruptions (i.e., volcanic outgassing) is the most obvious display of magmatic volatile release. However, owing to the large intrusive:extrusive ratio, and considering the paucity of volatiles left in intrusive rocks after final solidification, volcanic outgassing likely constitutes only a small fraction of the overall mass of magmatic volatiles released to the Earth's surface. Therefore, as most magmas stall on their way to the surface, outgassing of uneruptible, crystal‐rich magma storage regions will play a dominant role in closing the balance of volatile element cycling between the mantle and the surface. We use a numerical approach to study the migration of a magmatic volatile phase (MVP) in crystal‐rich magma bodies (“mush zones”) at the pore scale. Our results suggest that buoyancy‐driven outgassing is efficient over crystal volume fractions between 0.4 and 0.7 (for mm‐sized crystals). We parameterize our pore‐scale results for MVP migration in a thermomechanical magma reservoir model to study outgassing under dynamical conditions where cooling controls the evolution of the proportion of crystal, gas, and melt phases and to investigate the role of the reservoir size and the temperature‐dependent viscoelastic response of the crust on outgassing efficiency. We find that buoyancy‐driven outgassing allows for a maximum of 40–50% volatiles to leave the reservoir over the 0.4–0.7 crystal volume fractions, implying that a significant amount of outgassing must occur at high crystal content (>0.7) through veining and/or capillary fracturing.

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Section: Mvp Mobility At the Pore Scale: The Competition Between Buoymentioning

confidence: 99%

“…At higher S g , the effect of solid confinement on bubble shape is stronger. Geochemistry, Geophysics, Geosystems 10.1002/2017GC006912 number are set by varying the magnitude of the buoyancy force acting on the vapor phase [Ngachin et al, 2015;Parmigiani et al, 2011;Ren et al, 2016].…”

Section: 1002/2017gc006912mentioning

confidence: 99%

The mechanics of shallow magma reservoir outgassing

Parmigiani

Degruyter

Leclaire

et al. 2017

Geochem Geophys Geosyst

109

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“…25 is used in the remainder of the article to calculate interfacial tension force. The buoyant force is added only to the gas phase, as in the work of Ngachin et al [31], and for each node, it is calculated as = − V , (26.) where is gravitational acceleration, and V is the lattice volume.…”

Section: Hydrodynamic Equationmentioning

confidence: 99%

Terminal shape and velocity of a rising bubble by phase-field-based incompressible Lattice Boltzmann model

Ren

Song

Sukop

2016

Advances in Water Resources

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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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“…Next, the Laplace test is performed at a constant reduced temperature (Tr =0.8). This test is executed to calculate the surface tension values from the numerical results of the stationary droplet [63]. In this test, the pressure difference between the inside and outside of the droplet is plotted with the inverse droplet radius.…”

Section: Flat Interface and Static Droplet Problemmentioning

confidence: 99%

Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method

Raheleh Sharifi,

Mostafa Varmazyar,

Arash Mohammadi

2024

AAMM

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In the present study, a multi-pseudo-potential model is used to simulate the deformation and breakup of bubbles and droplets under simple shear flow. It is shown that the current model can adjust the amount of surface tension, independent of the interface thickness, equation of state (EOS), and reduced temperature. Considering the available findings, no comprehensive study has been performed on all aspects of deformation of bubbles and droplets under shear flow using numerical methods. Bubble or droplet deformation under simple shear flow depends on two non-dimensional numbers: capillary number (Ca) and viscosity ratio (λ). In this investigation, various scenarios, including small deformation, large deformation, and breakup for bubbles (0.2 < λ < 1) and droplets (1 < λ < 5), are separately studied. Results of the multipseudo-potential model show that the bubble and droplet deformations oscillate under shear flow and undergo elongation and contraction over time to converge to the final shape. As the capillary increases by more than one, the bubble expands and shrinks. The bubble tips become sharp, and so-called slender, at a low viscosity ratio (λ). A detailed comparison is made between the numerical results for deformation parameters of the present model and the experimental results available in the references.

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

Cited by 7 publications

References 25 publications

The mechanics of shallow magma reservoir outgassing

The mechanics of shallow magma reservoir outgassing

Terminal shape and velocity of a rising bubble by phase-field-based incompressible Lattice Boltzmann model

Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method

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