2015
DOI: 10.1063/1.4923033
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Study of wetting and spontaneous motion of droplets on microstructured surfaces with the lattice Boltzmann method

Abstract: The influence of arrangement of micro-pillars on wetting and self-motion of droplets is numerically studied via a three-dimensional lattice Boltzmann model for multiphase flow. Substrates textured with identical pillar array density but different arrangements are considered. The results show that the prediction of Cassie-Baxter model can be improved with the modified roughness factors. In addition, transportation of droplets on the stepwise gradient structured substrates is investigated. A simple model, taking… Show more

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Cited by 19 publications
(7 citation statements)
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“…Chapman-Enskog analysis may be insufficient for a multiphase LB model because the higher-order derivatives are seemingly not derivable with a second-order expansion. By taking the free-energy 53 multiphase LB method as an example, Wagner [161] has conducted a high-order Ta ylor expansion analysis to identify the high-order terms recovered in the macroscopic equations (see Eq. (49) in the reference).…”
Section: The Surface Tension Treatmentmentioning
confidence: 99%
See 1 more Smart Citation
“…Chapman-Enskog analysis may be insufficient for a multiphase LB model because the higher-order derivatives are seemingly not derivable with a second-order expansion. By taking the free-energy 53 multiphase LB method as an example, Wagner [161] has conducted a high-order Ta ylor expansion analysis to identify the high-order terms recovered in the macroscopic equations (see Eq. (49) in the reference).…”
Section: The Surface Tension Treatmentmentioning
confidence: 99%
“…With the development in the past two decades, many multiphase LB models have been proposed. These models mostly fall into one of the following categories: the color-gradient LB method [24][25][26][27][28][29][30], the pseudopotential LB method [31][32][33][34][35][36][37][38][39], the free-energy LB method [40][41][42][43][44], and the phase-field LB method [45][46][47][48][49][50][51][52][53]. In addition, several multiphase LB models were recently developed based on the entropic LB method [54] and the discrete Boltzmann equation [55].…”
Section: Introductionmentioning
confidence: 99%
“…Although it is well known that a greater intrinsic surface free energy difference would induce further displacements and higher velocities, given the existence of hysteresis and friction, the overall motion remains to be explained systematically. In the past, droplet motion on asymmetrical microstructures has been predicted by making use of simulations, 33,34 while other works have addressed a limited number of structural and wetting contrasts experimentally. 22,23,26 However, systematic experimental work exploring a wider range of wetting contrasts, i.e., both average solid fraction and contrasting fraction, is necessary to develop a unified understanding of how motion of droplets can be controlled by surface structure.…”
Section: Take Down Policymentioning
confidence: 99%
“…Lattice Boltzmann (LB) method, as a mecroscopic model, has become an effective simulation tool in multiphase flow because of simplicity and natural parallelism (Guo et al , 2010; Ma and Chen, 2017; Wang et al , 2019; Sun et al , 2015; Tang et al , 2015). At present, LB models mainly include pseudo-potential model (Shan and Chen, 1993), color model (Kalarakis et al , 2002) and free energy model (Swift et al , 1995).…”
Section: Introductionmentioning
confidence: 99%