Dynamic simulation of multi-component viscoelastic fluids using the lattice Boltzmann method

Onishi, Junya; Chen, Y.; Ohashi, Hirotada

doi:10.1016/j.physa.2005.09.022

Cited by 34 publications

(51 citation statements)

References 15 publications

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“…LBM have already been used to model droplet deformation problems [51][52][53][54] and also viscoelastic flows [55][56][57]. The novelty we offer from the methodological point of view is the exploration of regimes and situations which have not been explored so far in the literature.…”

Section: Problem Statement and Mathematical Formulationmentioning

confidence: 99%

Deformation and breakup of viscoelastic droplets in confined shear flow

Gupta

Sbragaglia

2014

Phys. Rev. E

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The deformation and break-up of Newtonian/viscoelastic droplets are studied in confined shear flow. Our numerical approach is based on a combination of lattice-Boltzmann models (LBM) and finite difference schemes, the former used to model two immiscible fluids with variable viscous ratio, and the latter used to model the polymer dynamics. The kinetics of the polymers is introduced using constitutive equations for viscoelastic fluids with finitely extensible non-linear elastic dumbbells with Peterlin's closure (FENE-P).We quantify the droplet response by changing the polymer relaxation time τ P , the maximum extensibility L of the polymers, and the degree of confinement, i.e. the ratio of the droplet diameter to wall separation. In unconfined shear flow, the effects of droplet viscoelasticity on the critical Capillary number Ca cr for breakup are moderate in all cases studied. However, in confined conditions a different behaviour is observed: the critical Capillary number of a viscoelastic droplet increases or decreases, depending on the maximum elongation of the polymers, the latter affecting the extensional viscosity of the polymeric solution. Force balance is monitored in the numerical simulations to validate the physical picture.

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Section: Problem Statement and Mathematical Formulationmentioning

confidence: 99%

Deformation and breakup of viscoelastic droplets in confined shear flow

Gupta

Sbragaglia

2014

Phys. Rev. E

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“…LBM have already been used to model droplet deformation problems [17,18,19,20], droplets in confined T-junctions [20,21] and also viscoelastic flows [22,23]. This approach has been studied and validated in other dedicated works [24,25], where we have provided evidence that the model is able to capture quantitatively rheological properties of dilute suspensions as well as deformation and orientation of single droplets in confined shear flows.…”

Section: Theoretical Modelmentioning

confidence: 94%

Viscoelastic multicomponent fluids in confined flow-focusing devices

Gupta

Sbragaglia

Foard

et al. 2015

AIP Conference Proceedings

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Abstract. The effects of elasticity on the break-up of liquid threads in microfluidic cross-junctions is investigated using numerical simulations based on the "lattice Boltzmann models" (LBM). Working at small Capillary numbers, we investigate the effects of non-Newtonian phases in the transition from droplet formation at the cross-junction (DCJ) and droplet formation downstream of the cross-junction (DC) (Liu & Zhang, Phys. Fluids. 23, 082101 (2011)). Viscoelasticity is found to influence the break-up point of the threads, which moves closer to the cross-junction and stabilizes. This is attributed to an increase of the polymer feedback stress forming in the corner flows, where the side channels of the device meet the main channel.

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“…The discontinuity of the velocity field at the two upper corners has been removed in (18). The vortex intensity grows as the upper lid accelerates and reaches a steady state finally under low Reynolds number as the polymer energy builds up.…”

Section: Lid-driven Cavity Flowmentioning

confidence: 99%

“…Giraud et al [14,15] and Lallemand et al [16] propose an LBM scheme for solving Jeffreys model in their works. Onishi et al [17,18] introduce an LBM scheme to simulate the evolution of polymer conformation, and the constitutive equations of Oldroyd-B and FENE-P model can be recovered from their model in simple shear flow. Malaspinas et al [19,20] and Su et al [21] construct Article ID 805484 an LBM scheme to simulate the evolution of the viscoelastic stress components through discretizing the constitutive equation with a modified convection-diffusion lattice Boltzmann mechanism; however, the model fails to reasonably explain the unphysical diffusive term of the viscoelastic stress, and its discretization processes for different constitutive models are not general either.…”

Section: Introductionmentioning

confidence: 99%

Benchmark Numerical Simulations of Viscoelastic Fluid Flows with an Efficient Integrated Lattice Boltzmann and Finite Volume Scheme

Zou

Chen

et al. 2014

Advances in Mechanical Engineering

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An efficient IBLF-dts scheme is proposed to integrate the bounce-back LBM and FVM scheme to solve the Navier-Stokes equations and the constitutive equation, respectively, for the simulation of viscoelastic fluid flows. In order to improve the efficiency, the bounce-back boundary treatment for LBM is introduced in to improve the grid mapping of LBM and FVM, and the two processes are also decoupled in different time scales according to the relaxation time of polymer and the time scale of solvent Newtonian effect. Critical numerical simulations have been carried out to validate the integrated scheme in various benchmark flows at vanishingly low Reynolds number with open source CFD toolkits. The results show that the numerical solution with IBLF-dts scheme agrees well with the exact solution and the numerical solution with FVM PISO scheme and the efficiency and scalability could be remarkably improved under equivalent configurations.

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Dynamic simulation of multi-component viscoelastic fluids using the lattice Boltzmann method

Cited by 34 publications

References 15 publications

Deformation and breakup of viscoelastic droplets in confined shear flow

Deformation and breakup of viscoelastic droplets in confined shear flow

Viscoelastic multicomponent fluids in confined flow-focusing devices

Benchmark Numerical Simulations of Viscoelastic Fluid Flows with an Efficient Integrated Lattice Boltzmann and Finite Volume Scheme

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