Ternary phase-field simplified multiphase lattice Boltzmann method and its application to compound droplet dynamics on solid surface in shear flow

Жен, Чен; Chen, Shu; Liu, Y. Y.; Zhang, Liangqi

doi:10.1103/physrevfluids.6.094304

Cited by 8 publications

(9 citation statements)

References 47 publications

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“…(2010) and Chen et al. (2021), the driving force exerted on the droplet interface is balanced by the wall resistance in the direction. In the N/V and V/N viscoelastic systems, the driving force is tentatively expressed by the sum of the shear stresses and the form drag force , where is the steady-state sliding velocity of the moving droplet.…”

Section: Resultsmentioning

confidence: 95%

“…2020; Chen et al. 2021). With such a confinement ratio, the influence of the top wall cannot be fully ignored, as shown in Appendix A.…”

Section: Resultsmentioning

confidence: 99%

“…Thus, the force balance in the direction is expressed as where , , , and are the coefficients to be determined, which may be relevant to fluid properties, droplet shape and flow conditions (Chen et al. 2021).…”

Section: Resultsmentioning

confidence: 99%

“…2020 b ; Chen et al. 2021). Focusing on binary fluids with viscoelasticity, several LBM models have been proposed and have had great success in the simulation of droplet dynamics over a wide range of elastic properties (Wang et al.…”

Section: Introductionmentioning

confidence: 99%

“…The solvent viscosity ratio is defined as β = μ s /μ (Verhulst et al 2009), where μ is the zero-shear viscosity of the viscoelastic fluid calculated as a sum of the polymeric viscosity of the solute μ p and the Newtonian viscosity of the solvent μ s (Malaspinas, Fiétier & Deville 2010). To carry out the numerical investigation, we use the lattice Boltzmann method (LBM), which has been rapidly developed into a powerful tool for complex fluid flows in recent decades (Malaspinas et al 2010;Su et al 2013;Zou et al 2014;Wang et al 2020b;Chen et al 2021). Focusing on binary fluids with viscoelasticity, several LBM models have been proposed and have had great success in the simulation of droplet dynamics over a wide range of elastic properties (Wang et al 2020a;Wang, Wang & Liu 2022).…”

Section: Introductionmentioning

confidence: 99%

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Viscoelastic effects on the deformation and breakup of a droplet on a solid wall in Couette flow

Wang

Shi

et al. 2023

J. Fluid Mech.

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The deformation, movement and breakup of a wall-attached droplet subject to Couette flow are systematically investigated using an enhanced lattice Boltzmann colour-gradient model, which accounts for not only the viscoelasticity (described by the Oldroyd-B constitutive equation) of either droplet (V/N) or matrix fluid (N/V) but also the surface wettability. We first focus on the steady-state deformation of a sliding droplet for varying values of capillary number ( $Ca$ ), Weissenberg number ( $Wi$ ) and solvent viscosity ratio ( $\beta$ ). Results show that the relative wetting area $A_r$ in the N/V system is increased by either increasing $Ca$ , or by increasing $Wi$ or decreasing $\beta$ , where the former is attributed to the increased viscous force and the latter to the enhanced elastic effects. In the V/N system, however, $A_r$ is restrained by the droplet elasticity, especially at higher $Wi$ or lower $\beta$ , and the inhibiting effect strengthens with an increase of $Ca$ . Decreasing $\beta$ always reduces droplet deformation when either fluid is viscoelastic. The steady-state droplet motion is quantified by the contact-line capillary number $Ca_{cl}$ , and a force balance is established to successfully predict the variations of $Ca_{cl}/Ca$ with $\beta$ for each two-phase viscosity ratio in both N/V and V/N systems. The droplet breakup is then studied for varying $Wi$ . The critical capillary number of droplet breakup monotonically increases with $Wi$ in the N/V system, while it first increases, then decreases and finally reaches a plateau in the V/N system.

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