Numerical modeling of condensate droplet on superhydrophobic nanoarrays using the lattice Boltzmann method

Abstract

In the present study, the process of droplet condensation on superhydrophobic nanoarrays is simulated using a multicomponent multi-phase lattice Boltzmann model. The results indicate that three typical nucleation modes of condensate droplets are produced by changing the geometrical parameters of nanoarrays. Droplets nucleated at the top (top-nucleation mode), or in the upside interpillar space of nanoarrays (side-nucleation mode), generate the non-wetting Cassie state, whereas the ones nucleated at the bottom corners between the nanoarrays (bottom-nucleation mode) present the wetting Wenzel state. Time evolutions of droplet pressures at the upside and downside of the liquid phase are analyzed to understand the wetting behaviors of the droplets condensed from different nucleation modes. The phenomena of droplet condensation on nanoarrays patterned with different hydrophilic and hydrophobic regions are simulated, indicating that the nucleation mode of condensate droplets can also be manipulated by modifying the local intrinsic wettability of nanoarray surface. The simulation results are compared well with the experimental observations reported in the literature.

Mesoscopic Simulation of the (2 + 1)-Dimensional Wave Equation with Nonlinear Damping and Source Terms Using the Lattice Boltzmann BGK Model

“…From a computational resource perspective, the remarkable merits are brevity of programming, numerical potency, inherent parallelism, and ease treatment of intricate boundary conditions. This kind of method has comprehensive capacities in quite several fields, from phonon transport [13] to approximate incompressible flows [14][15][16][17][18][19][20][21][22][23][24][25], full compressible flows [26][27][28][29][30][31][32][33][34][35][36][37], dendrite growth [38,39] and thermal multiphase flows [40]. Recently, the mesoscopic kinetics method is also becoming increasingly popular in computational mathematics and engineering science for solving certain NPDEs, including Burgers' equations [41,42], Korteweg-de Vries equation [43], Gross-Pitaevskii equation [44], convection-diffusion equation [45][46][47][48][49][50][51], Kuramoto-Sivashinsky equation [52], wave equation [53,54], Dirac equation [55], Poisson equation…”

Effect of non-condensable gas on a collapsing cavitation bubble near solid wall investigated by multicomponent thermal MRT-LBM*

“…In the last two decades, many efforts have been made to apply the pseudopotential LBM to investigating the phase change and heat transfer phenomena, such as cavitation, evaporation, and boiling. [7][8][9] Several models have been established by introducing thermal equations into LB multiphase models. [10][11][12] Generally, thermal LB models are divided into three categories: the multispeed approach, [13] the doubledistribution-function (DDF) approach, [14,15] and the hybrid approach.…”

Dynamic phase transition of ferroelectric nanotube described by a spin-1/2 transverse Ising model*

“…[25] Numerous calculations of ferroelectric thin film, nanotube, nanowire, and nanoparticles were conducted by using FET so far, disclosing the dynamic phase transition behaviors of cylindrical ferroelectric nanotubes, [26] nanoscaled transverse Ising thin films with diluted surfaces, [27] ferrimagnetism in a decorated Ising nanowire, [28,29] effects of surface dilution cylindrical transverse Ising ferrimagnetic nanotubes, [30] and compensation temperature in a cylindrical Ising nanowire (or nanotube). [31,32] To the best of our knowledge, the threedimensional (3-D) phase transition and the dynamic phase behaviors of the ferroelectric nanotube under high temperature have not yet been reported.…”