A diffuse-interface immersed-boundary method for two-dimensional simulation of flows with moving contact lines on curved substrates

Liu, Hao-Ran; Ding, Hang

doi:10.1016/j.jcp.2015.03.059

Cited by 85 publications

(51 citation statements)

References 38 publications

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“…Due to its importance, drop impact on a solid target has been investigated extensively using the experimental and numerical approaches [23,48,50,51]. However, the studies on this subject are almostly limited to the two-phase situation [23,50,51], and the mechanism of drop impact, especially in the case of a compound drop, has been far from well understood. Actually, to the best of our knowledge, there is no literature avaiable on the numerical study of a compound drop impact on solid.…”

Section: A Compound Drop Impact On a Solid Circular Cylindermentioning

confidence: 99%

“…The initial velocity in the vertical direction with the value of U is imposed for the compound drop without the consideration of the gravity, and then it will impact onto the solid surface. Similar to the two-phase case [23,51], this problem can be characterized by the wall wettability in terms of the contact angles and two group of dimensionless parameters: the Reynolds number (Re) and the Weber number (W e), which can be defined respectively as…”

Section: A Compound Drop Impact On a Solid Circular Cylindermentioning

confidence: 99%

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Lattice Boltzmann modeling of wall-bounded ternary fluid flows

Liang

Chen

et al. 2019

Applied Mathematical Modelling

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Section: A Compound Drop Impact On a Solid Circular Cylindermentioning

confidence: 99%

Section: A Compound Drop Impact On a Solid Circular Cylindermentioning

confidence: 99%

Lattice Boltzmann modeling of wall-bounded ternary fluid flows

Liang

Chen

et al. 2019

Applied Mathematical Modelling

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“…Since the solid boundaries generally do not coincide with the mesh lines, a feedback force is added in the momentum equation to account for the presence of the embedded solid boundaries. Recently, we combined the IB method [8] with the diffuse interface (DI) model [9] , and successively simulated the flows with MCLs on curved substrates [10] . Despite of the success of IB methods, their accuracy depends on the way of representing the solid boundary, e.g., the use of delta function in the distribution of the feedback force makes this kind of IB methods essentially first-order accurate in modeling the solid boundaries.…”

Section: Introductionmentioning

confidence: 99%

Simulation of incompressible multiphase flows with complex geometry using etching multiblock method

Liu

Ding

2016

Appl. Math. Mech.-Engl. Ed.

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The incompressible two-phase flows are simulated using combination of an etching multiblock method and a diffuse interface (DI) model, particularly in the complex domain that can be decomposed into multiple rectangular subdomains. The etching multiblock method allows natural communications between the connected subdomains and the efficient parallel computation. The DI model can consider two-phase flows with a large density ratio, and simulate the flows with the moving contact line (MCL) when a geometric formulation of the MCL model is included. Therefore, combination of the etching method and the DI model has potential to deal with a variety of two-phase flows in industrial applications. The performance is examined through a series of numerical experiments. The convergence of the etching method is firstly tested by simulating single-phase flows past a square cylinder, and the method for the multiphase flow simulation is validated by investing drops dripping from a pore. The numerical results are compared with either those from other researchers or experimental data. Good agreement is achieved. The method is also used to investigate the impact of a droplet on a grooved substrate and droplet generation in flow focusing devices.

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“…Experimental results are used to validate the numerical simulation, and the latter provides detailed flow structures and cavity shapes, which are analysed and compared against the theoretical analyses. The numerical method combines an axisymmetric Navier-Stokes solver with a diffuse-interface model for interface tracking (Ding, Spelt & Shu 2007) and a moving CL model Liu & Ding 2015), thereby allowing for simulation of the impact process with dynamic wetting. We also study the subsequent radial expansion of the air cavity and the vertical propagation of the ripples arising from the impact, to seek the link between the local pinned meniscus and the global cavity dynamics.…”

mentioning

confidence: 99%

“…Wetting conditions are applied at the CLs to serve as the boundary conditions for C at the solid walls, and we use the geometric wetting conditions for flat substrates and the characteristic wetting condition for curved substrates (Liu & Ding 2015). We assume that the speed of the object does not change in the short duration of the impact (it is confirmed by experiments that the change in object speed is insignificant).…”

mentioning

confidence: 99%

On the contact-line pinning in cavity formation during solid–liquid impact

et al. 2015

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We investigate the cavity formation during the impact of spheres and cylinders into a liquid pool by using a combination of experiments, simulations and theoretical analysis, with particular interest in contact-line pinning and its relation with the subsequent cavity evolution. The flows are simulated by a Navier-Stokes diffuse-interface solver that allows for moving contact lines. On the basis of agreement on experimentally measured quantities such as the position of the pinned contact line and the interface shape, we investigate flow details that are not accessible experimentally, identify the interface regions in the cavity formation and examine the geometric effects of impact objects. We connect wettability, inertia, geometry of the impact object, interface bending and contact-line position with the contact-line pinning by analysing the force balance at a pinned meniscus, and the result compares favourably with those from simulations and experiments. In addition to adjusting the interface bending, the object geometry also has a significant effect on the magnitude of low pressure in the liquid and the occurrence of flow separation. As a result, it is easier for an object with sharp edges to generate a cavity than a smooth object. A theoretical model based on the Rayleigh-Besant equation is developed to provide a quantitative description of the radial expansion of the cavity after the pinning of the contact line. The accuracy of the solution is greatly affected by the geometrical information on the interface connected to the pinned meniscus, showing the dependence of the global cavity dynamics on the local flows around the pinned contact line. Vertical ripple propagation on the cavity wall is found to follow the dispersion relation for the perturbation evolution on a hollow jet.

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A diffuse-interface immersed-boundary method for two-dimensional simulation of flows with moving contact lines on curved substrates

Cited by 85 publications

References 38 publications

Lattice Boltzmann modeling of wall-bounded ternary fluid flows

Lattice Boltzmann modeling of wall-bounded ternary fluid flows

Simulation of incompressible multiphase flows with complex geometry using etching multiblock method

On the contact-line pinning in cavity formation during solid–liquid impact

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