Droplets on inclined rough surfaces

Hyväluoma, Jari; Koponen, Antti; Raiskinmäki, P.; Timonen, J.

doi:10.1140/epje/i2007-10190-7

Cited by 53 publications

(41 citation statements)

References 47 publications

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“…This was attributed to the formation of small air pockets, which act as cushions that help the droplet in its downhill motion. When the grooves are sufficiently separated so that according to their arguments no air pockets form, they found that the critical inclination angle was largest when the groove orientation was normal to the component of gravity acting parallel to the substrate and smallest when it was parallel, as also observed experimentally by Yoshimitsu et al (2002) and confirmed numerically by Hyväluoma et al (2007). Experiments with line-patterned, chemically heterogeneous substrates revealed a similar behaviour (see Morita et al 2005;Suzuki et al 2008).…”

Section: Introductionmentioning

confidence: 52%

Droplet motion on inclined heterogeneous substrates

Savva

Kalliadasis

2013

J. Fluid Mech.

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We consider the static and dynamic behaviour of two-dimensional droplets on inclined heterogeneous substrates. We utilize an evolution equation for the droplet thickness based on the long-wave approximation of the Stokes equations in the presence of slip. Through a singular perturbation procedure, evolution equations for the location of the two moving fronts are obtained under the assumption of quasistatic dynamics. The deduced equations, which are verified by direct comparisons with numerical solutions to the governing equation, are scrutinized in a variety of dynamic and equilibrium settings. For example, we demonstrate the possibility for stick-slip dynamics, substrate-induced hysteresis, the uphill motion of the droplet for sufficiently strong chemical gradients and the existence of a critical inclination angle beyond which the droplet can no longer be supported at equilibrium. Where possible, analytical expressions are obtained for various quantities of interest, which are also verified by appropriate numerical experiments.

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Section: Introductionmentioning

confidence: 52%

Droplet motion on inclined heterogeneous substrates

Savva

Kalliadasis

2013

J. Fluid Mech.

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“…We assume that heat losses occur at the top boundary of the PC substrate (at x > 0), at the bottom boundary of the glass plate, and at the liquid-air interface [Eqs. (5), (6), and (7)], which are a superposition of Newtonian convective cooling and thermal radiation…”

Section: Numerical Modelsmentioning

confidence: 99%

Enhancement of contact line mobility by means of infrared laser illumination. II. Numerical simulations

Wedershoven

Tempel

Zeegers

et al. 2016

Journal of Applied Physics

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A droplet that moves on a solid substrate with a velocity higher than a certain critical velocity disintegrates, i.e., leaves behind residual droplets. Infrared laser illumination can be used to increase the droplet mobility and suppress the shedding of droplets. By means of two-dimensional numerical simulations, we studied the effect of a non-uniform temperature distribution on the dynamics of straight receding contact lines. A streamfunction-vorticity model is used to describe the liquid flow in the vicinity of the receding contact line. The model takes into account the thermocapillary shear stress and the temperature-dependent liquid viscosity and density. A second, coupled model describes the laser-induced displacement of the contact line. Our results show that the reduction of the liquid viscosity with increasing temperature is the dominant mechanism for the increase of the critical velocity. Thermocapillary shear stresses are important primarily for low substrate speeds. V C 2016 AIP Publishing LLC. [http://dx

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“…For these reasons, LBM possesses several advantages over other numerical methods, and it has been demonstrated to be a useful alternative for such complex situations by numerous practices (e.g., Kang et al 2002;Zhang and Kwok 2006a;Hyvaluoma et al 2007;Wolf et al 2009;Liu and Zhang 2009;Verberg et al 2004;Horbach and Succi 2006;Sbragaglia et al 2006;Harting et al 2006). Different from some traditional CFD interface treatments, such as those in VOF and the level set methods, the LBM multiphase/multicomponent algorithm is uniform throughout the entire domain and phase separation as well as interface evolution can be obtained without front-capturing and front-tracking treatments.…”

Section: Multiphase/multicomponent Lbm Modelsmentioning

confidence: 99%

“…Examples include dynamic wetting (D'Ortona et al 1995;Zhang and Kwok 2004b;Briant et al 2002;, capillary filling (Raiskinmaki et al 2002;Wolf et al 2010;Kusumaatmaja et al 2008;Chibbaro et al 2009a;Diotallevi et al 2008Diotallevi et al , 2009a, contact angles and droplet behaviors on patterned (Zhang et al 2009b;Kusumaatmaja et al 2006;Chang and Alexander 2006), heterogeneous (Iwahara et al 2003;Zhang and Kwok 2005b;Dupuis and Yeomans 2004), and rough (Raiskinmaki et al 2000;Kwok 2006a, 2010;Hyvaluoma et al 2007) surfaces. Recently, electrowetting, the increase of contact angle under an applied electrical potential across the liquid and surface, has also been simulated, using the Shan-Chen interparticle potential model (Li and Fang 2009) or the free energy model (Aminfar and Mohammadpourfard 2009).…”

Section: Multiphase Flows and Surface Effectsmentioning

confidence: 99%

Lattice Boltzmann method for microfluidics: models and applications

Zhang

2010

Microfluid Nanofluid

352

172

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The lattice Boltzmann method (LBM) has experienced tremendous advances and has been well accepted as a useful method to simulate various fluid behaviors. For computational microfluidics, LBM may present some advantages, including the physical representation of microscopic interactions, the uniform algorithm for multiphase flows, and the easiness in dealing with complex boundary. In addition, LBM-like algorithms have been developed to solve microfluidics-related processes and phenomena, such as heat transfer, electric/magnetic field, and diffusion. This article provides a practical overview of these LBM models and implementation details for external force, initial condition, and boundary condition. Moreover, recent LBM applications in various microfluidic situations have been reviewed, including microscopic gaseous flows, surface wettability and solid-liquid interfacial slip, multiphase flows in microchannels, electrokinetic flows, interface deformation in electric/magnetic field, flows through porous structures, and biological microflows. These simulations show some examples of the capability and efficiency of LBM in computational microfluidics.

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Droplets on inclined rough surfaces

Cited by 53 publications

References 47 publications

Droplet motion on inclined heterogeneous substrates

Droplet motion on inclined heterogeneous substrates

Enhancement of contact line mobility by means of infrared laser illumination. II. Numerical simulations

Lattice Boltzmann method for microfluidics: models and applications

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