Comparison between isothermal collision-streaming and finite-difference lattice Boltzmann models

Negro, Giuseppe; Busuioc, Sergiu; Ambruş, Victor E.; Gonnella, Giuseppe; Lamura, A.; Sofonea, Victor

doi:10.1142/s0129183119410055

Cited by 6 publications

(3 citation statements)

References 25 publications

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“…For simplicity, we used the D2Q9 lattice model on a uniform square 2D lattice to analyze the multicomponent flow when ∆x = ∆t = 1 [40,41]. This model has nine velocities and is widely applied in 2D simulations [42,43].…”

Section: Numerical Methods 21 Pseudopotential Lattice Boltzmann Model...mentioning

confidence: 99%

Pseudopotential Lattice Boltzmann Model for Immiscible Multicomponent Flows in Microchannels

Liu

2023

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To investigate droplet formation in a microchannel with different walls, simulations were conducted based on a pseudopotential model using the exact difference method force scheme. The variable surface tension was obtained using Laplace’s law, and the static contact angle was estimated using a first-order linear equation of the corresponding control parameter of the model. The droplet motion in microchannels was simulated using our model, and the effects of surface wettability and the Bond number on the droplet motion were investigated. The droplet motion for the intermediate microchannel wall took a significantly shorter time than that for the hydrophilic wall, and the wet length also depended on the contact angle. As the Bond number increased, the wet length of the droplet decreased on the hydrophilic surface. The droplet formation in a T-junction device was also simulated using the proposed model, and the effects of the capillary number and viscosity ratio on droplet formation were discussed in detail, and some empirical correlations between the capillary number and dimensionless droplet length are presented according to different viscosity ratios. The three flow patterns of droplet formation were categorized by the different capillary numbers as the dripping–squeezing, jetting–shearing, and threading regimes. In the dripping–squeezing regime, the droplet volume was nearly independent of the viscosity ratio, but the viscous effect was more prone to occur in the jetting–shearing regime. In the jetting–shearing regime, as the capillary number increased, the effect of the viscosity ratio on droplet formation became more significant.

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Section: Numerical Methods 21 Pseudopotential Lattice Boltzmann Model...mentioning

confidence: 99%

Pseudopotential Lattice Boltzmann Model for Immiscible Multicomponent Flows in Microchannels

Liu

2023

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“…13 The qualitative behaviour of the system is instead expected to be robust to such changes, and similar to the one reported in the main text.A mapping from lattice units to physical units can be obtained by fixing the relevant length, time and force scales, respectively, given by l * = 10 nm, t *= 1 ms, and f * = 1 μN which are set to 1 in LU. 60 Following ref. 61, in the case of the 5CB liquid crystal with a 5% CD1 chiral dopant at 30 °C, we propose here an approximate estimation of this experimental setting in terms of our rescaled dimensionless units.…”

Section: Appendixmentioning

confidence: 99%

Topological phases and curvature-driven pattern formation in cholesteric shells

et al. 2023

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“…The dynamics are integrated with a parallel hybrid lattice Boltzmann (LB) approach (36)(37)(38)(39)(40) where Eq. 3 is solved by a LB algorithm and Eqs.…”

Section: A Multiphase Field Model To Study the Rheology Of Deformable...mentioning

confidence: 99%

Yield-stress transition in suspensions of deformable droplets

et al. 2023

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Yield-stress materials, which require a sufficiently large forcing to flow, are currently ill-understood theoretically. To gain insight into their yielding transition, we study numerically the rheology of a suspension of deformable droplets in 2D. We show that the suspension displays yield-stress behavior, with droplets remaining motionless below a critical body-force. In this phase, droplets jam to form an amorphous structure, whereas they order in the flowing phase. Yielding is linked to a percolation transition in the contacts of droplet-droplet overlaps and requires strict conservation of the droplet area to exist. Close to the transition, we find strong oscillations in the droplet motion that resemble those found experimentally in confined colloidal glasses. We show that even when droplets are static, the underlying solvent moves by permeation so that the viscosity of the composite system is never truly infinite, and its value ceases to be a bulk material property of the system.

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Comparison between isothermal collision-streaming and finite-difference lattice Boltzmann models

Cited by 6 publications

References 25 publications

Pseudopotential Lattice Boltzmann Model for Immiscible Multicomponent Flows in Microchannels

Pseudopotential Lattice Boltzmann Model for Immiscible Multicomponent Flows in Microchannels

Topological phases and curvature-driven pattern formation in cholesteric shells

Yield-stress transition in suspensions of deformable droplets

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