Lattice Boltzmann Simulation of Two-Phase Viscoelastic Fluid Flows

Abstract

A lattice Boltzmann method (LBM) for two-phase viscoelastic fluid flows is proposed. The method is mainly an extension of the LBM for two-phase flows with large density differences proposed by Inamuro et al. [Journal of Computational Physics Vol.198, No.2 (2004), pp.628-644]. The viscoelastic effects are introduced by the constitutive equation based on the Maxwell model, which has a spring and a dashpot connected with each other in series. The method is applied to simulations of a drop under shear flow in viscoelastic fluids and of a bubble rising in viscoelastic fluids. In the simulation of drop deformation under shear flows, the effects of viscoelasticity on the deformation and orientation angle are evaluated. In the simulation of bubble rising in viscoelastic fluids, a cusp configuration at the trailing edge is investigated and compared with the theoretical prediction and other numerical results.

Sub-Kolmogorov droplet dynamics in isotropic turbulence using a multiscale lattice Boltzmann scheme

“…The Lattice Boltzmann Method (LBM) has been extensively used in the field of microfluidics, including extensions to accommodate non-ideal effects [57], coupling with polymer micro mechanics [58] and thermal fluctuations [47,48]. LBM has also been widely used for the modelling of droplet breakup behaviour [31,38,39,40,41,42,43,44,45,46]. In order to model multicomponent systems with the Lattice Boltzmann Model (LBM) we need to account for interfacial forces between different fluid components.…”

“…LBM in conjunction with SCM has been extensively used in the field of microfluidics and droplet breakup [31,38,39,40,41,42,43,44,22,45,46] and notably also for multicomponent systems involving thermal fluctuations [47,48].…”

Lattice Boltzmann simulations of droplet breakup in confined and time-dependent flows

“…The Lattice Boltzmann Method (LBM) has been extensively used in the field of microfluidics, including extensions to accommodate non-ideal effects [66], coupling with polymer micro mechanics [67] and thermal fluctuations [68,69]. LBM has also been used widely for the modelling of droplet break up behaviour [41,44,[70][71][72][73][74][75][76][77]. In order to model multicomponent systems with the Lattice Boltzmann Model (LBM) we need to account for interfacial forces between different fluid components.…”

Numerical Simulation of Sudden Contraction Flow for Viscoelastic Fluids with the Lattice Boltzmann Method

“…A preliminary analysis shows that the model can accurately simulate the viscoelastic behavior of viscoelastic fluid, but limited by the stability, only a small relaxation time could be computered. This work also ignored some important elastic effect as Giraud [5] did, but the model was successfully used to simulate the bubble motion in the shear flow [8,9]. In 2010, Malaspinas [10] introduced dual distribution function to simulate Oldroyd-B fluid.…”