2018
DOI: 10.1103/physrevfluids.3.104304
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Mesoscopic model for soft flowing systems with tunable viscosity ratio

Abstract: We propose a mesoscopic model of binary fluid mixtures with tunable viscosity ratio based on the two-range pseudo-potential lattice Boltzmann method, for the simulation of soft flowing systems. In addition to the short range repulsive interaction between species in the classical single-range model, a competing mechanism between the short range attractive and mid-range repulsive interactions is imposed within each species. Besides extending the range of attainable surface tension as compared with the single-ran… Show more

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Cited by 25 publications
(27 citation statements)
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“…Recently, the lattice Boltzmann method (LBM) has been widely adopted for numerical simulations of complex fluid flows [14,15,16,17]. For the study of multiphase flows with contact angle hysteresis, Wang et al [18] used the He-Chen-Zhang [19] and Lee-Lin [20] LBM model incorporated with geometrical boundary conditions proposed by Ding et al [12] to study the motion of a droplet driven by a shear flow for varying hysteresis window.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, the lattice Boltzmann method (LBM) has been widely adopted for numerical simulations of complex fluid flows [14,15,16,17]. For the study of multiphase flows with contact angle hysteresis, Wang et al [18] used the He-Chen-Zhang [19] and Lee-Lin [20] LBM model incorporated with geometrical boundary conditions proposed by Ding et al [12] to study the motion of a droplet driven by a shear flow for varying hysteresis window.…”
Section: Introductionmentioning
confidence: 99%
“…Considering that droplet emulsions are usually used in micro-fluidic systems, with the flow mainly in the low-Reynolds number regime, we can select the SRT model within the ULBM framework. The collision step in the SRT model with the forcing term is given as [56], fk,ifalse(x,tfalse)=fk,ifalse(x,tfalse)1τkfalse[ fk,i(boldx,t)fk,ieq(ρk,ueq)false]+(112τ)ΔtRk,ifalse(ρk,boldueqfalse), where boldueq is the equilibrium velocity for the multi-component mixture [57]. Incorporating the total force into the forcing term Rk,i [56], we have Rk,i…”
Section: Resultsmentioning
confidence: 99%
“…The collision step in the SRT model with the forcing term is given as [56], fk,ifalse(x,tfalse)=fk,ifalse(x,tfalse)1τkfalse[ fk,i(boldx,t)fk,ieq(ρk,ueq)false]+(112τ)ΔtRk,ifalse(ρk,boldueqfalse), where boldueq is the equilibrium velocity for the multi-component mixture [57]. Incorporating the total force into the forcing term Rk,i [56], we have Rk,i=wfalse(false|…”
Section: Resultsmentioning
confidence: 99%
“…Second, it highlights a remarkable degree of extended universality in the physics of near-contact interfaces: once a mechanism for preventing coalescence is appropriately secured, and its strength properly calibrated, nanoscale details do not appear to be essential. Yet, not any mesoscopic treatment would do: for instance, lattice potentials such as those currently in use in the LB literature [4446] are too short-ranged to capture the complex physics discussed in this paper.…”
Section: Discussionmentioning
confidence: 99%