Droplet hysteresis investigation on non-wetting striped textured surfaces: A lattice Boltzmann study

Zheng, Rongye; Liu, Haihu; Sun, Jinju; Ba, Yan

doi:10.1016/j.physa.2014.05.071

Cited by 15 publications

(11 citation statements)

References 42 publications

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“…In the latter test, the density of 100 and Reynolds numbers up to 500 are considered. Consistent with the previous studies [14,54], the spreading radius is found to exhibit a power law dependence on the time for different Reynolds numbers.…”

Section: Discussionsupporting

confidence: 91%

“…Based on the previous studies of Mukherjee et al [51] and Shetabivash et al [52], the influence of the surrounding gas density on the evolution of the crown radius is insignificant for the density ratio larger than 50. This fact will allow us to quantitatively compare the simulation results with the previously developed scaling laws [14,33,53,54]. , respectively.…”

Section: Droplet Splashing On a Thin Liquid Filmmentioning

confidence: 94%

“…In the droplet splashing process, the spreading factor ( ) / 2 r R was found to exhibit a power law dependence on the dimensionless time * t , i.e., ( ) * / 2 r R C t = , in which r is the spreading radius, and C is a constant. Also, a number of studies have shown that C is usually in the range of 1.1-1.3 [14,33,53,54]. In Fig.…”

Section: Droplet Splashing On a Thin Liquid Filmmentioning

confidence: 97%

“…Generally, the existing multiphase LB models can be classified into four categories: color-gradient model [8], pseudopotential model [3,[9][10][11], free-energy model [12], and mean-field model [13,14]. In the present study, we focus on the colorgradient model.…”

Section: Introductionmentioning

confidence: 99%

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Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio

et al. 2016

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In this paper we propose a color-gradient lattice Boltzmann (LB) model for simulating two-phase flows with high density ratio and high Reynolds number. The model applies a multirelaxation-time (MRT) collision operator to enhance the stability of the simulation. A source term, which is derived by the Chapman-Enskog analysis, is added into the MRT LB equation so that the Navier-Stokes equations can be exactly recovered. Also, a form of the equilibrium density distribution function is used to simplify the source term. To validate the proposed model, steady flows of a static droplet and the layered channel flow are first simulated with density ratios up to 1000. Small values of spurious velocities and interfacial tension errors are found in the static droplet test, and improved profiles of velocity are obtained by the present model in simulating channel flows. Then, two cases of unsteady flows, Rayleigh-Taylor instability and droplet splashing on a thin film, are simulated. In the former case, the density ratio of 3 and Reynolds numbers of 256 and 2048 are considered. The interface shapes and spike and bubble positions are in good agreement with the results of previous studies. In the latter case, the droplet spreading radius is found to obey the power law proposed in previous studies for the density ratio of 100 and Reynolds number up to 500.

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Section: Discussionsupporting

confidence: 91%

Section: Droplet Splashing On a Thin Liquid Filmmentioning

confidence: 94%

Section: Droplet Splashing On a Thin Liquid Filmmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

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Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio

et al. 2016

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show abstract

“…Among them the color-gradient model [24][25][26], interparticle-potential model [27][28][29][30][31], the free-energy model [32] are most widely used. These models and their variants have been successfully applied to simulate various droplet dynamical behaviors [7,11,33,34]. Herein a three-dimensional (3D) color-gradient model is used for our simulations, which is developed based on our recent work [35].…”

Section: Introductionmentioning

confidence: 99%

Three dimensional simulations of droplet formation in symmetric and asymmetric T-junctions using the color-gradient lattice Boltzmann model

Liu

Sun

et al. 2015

International Journal of Heat and Mass Transfer

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Potential of lattice Boltzmann to model droplets on chemically stripe-patterned substrates

Jansen

Sotthewes

Zandvliet

et al. 2016

Applied Surface Science

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Droplet hysteresis investigation on non-wetting striped textured surfaces: A lattice Boltzmann study

Cited by 15 publications

References 42 publications

Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio

Multiple-relaxation-time color-gradient lattice Boltzmann model for simulating two-phase flows with high density ratio

Three dimensional simulations of droplet formation in symmetric and asymmetric T-junctions using the color-gradient lattice Boltzmann model

Potential of lattice Boltzmann to model droplets on chemically stripe-patterned substrates

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