Fast modeling of clam-shell drop morphologies on cylindrical surfaces

Lu, Zhenping; Ng, Tuck Wah; Yu, Yong

doi:10.1016/j.ijheatmasstransfer.2015.10.064

Cited by 15 publications

(10 citation statements)

References 35 publications

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“…Therefore, theoretical analysis of the shape gradient-induced driving force requires to accurately calculate the curvature-dependent A LV and A LS since the surface tension of a liquid γ and the contact angle θ 45 are almost constant. 43 , 46 , 47 The simplest approximate model to obtain curvature-dependent free energy is to treat both the droplet and the substrate as spheres. 30 , 39 , 42 Recently, Galatola 43 and McCarthy et al.…”

Section: Introductionmentioning

confidence: 99%

Spontaneous Movement of a Droplet on a Conical Substrate: Theoretical Analysis of the Driving Force

et al. 2022

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Experiments and simulations have shown that a droplet can move spontaneously and directionally on a conical substrate. The driving force originating from the gradient of curvatures is revealed as the self-propulsion mechanism. Theoretical analysis of the driving force is highly desirable; currently, most of them are based on a perturbative theory with assuming a weakly curved substrate. However, this assumption is valid only when the size of the droplet is far smaller than the curvature radius of the substrate. In this paper, we derive a more accurate analytical model for describing the driving force by exploring the geometric characteristics of a spherical droplet on a cylindrical substrate. In contrast to the perturbative solution, our model is valid under a much weaker condition, i.e., the contact region between the droplet and the substrate is small compared with the curvature radius of the substrate. Therefore, we show that for superhydrophobic surfaces, the derived analytical model is applicable even if the droplet is very close to the apex of a conical substrate. Our approach opens an avenue for studying the behavior of droplets on the tip of the conical substrate theoretically and could also provide guidance for the experimental design of curved surfaces to control the directional motion of droplets.

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Section: Introductionmentioning

confidence: 99%

Spontaneous Movement of a Droplet on a Conical Substrate: Theoretical Analysis of the Driving Force

et al. 2022

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“…The theoretical and experimental studies of the macroscopic bers give a detailed description of the interaction force and the shape of the drop placed onto a ber [10][11][12][13] or a set of bers. [14][15][16] Since electrospun bers are usually far smaller than the liquid drops, their wetting is studied using sophisticated experimental procedures, such as attaching an individual nanober to an AFM tip.…”

Section: Introductionmentioning

confidence: 99%

Wetting of electrospun nylon-11 fibers and mats

et al. 2021

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“…To date, the adhesion morphologies of droplets on single fiber have been extensively investigated by mathematic model (Carroll, 1976;Lu et al, 2016), numerical simulation (Mchale et al, 2001;Chen et al, 2015;Deng et al, 2017;Chen and Deng, 2017), and experimental test (Gilet et al, 2010;Fang et al, 2015;Amrei et al, 2017). The adhesion morphologies of droplets-on-fiber depend on fiber diameter, wettability of fiber surface, volume of droplet, and surface tension of droplet.…”

Section: Introductionmentioning

confidence: 99%

“…The Young-Laplace equation is hardly solved for clamshell shape. A fast modeling of clamshell shape was developed based on a variable-radius cap approach (Lu et al, 2016). This model can rapidly describe the clamshell-shaped droplet on fiber when contact angle is greater than 20 °and fiber radius is greater than droplet.…”

Section: Introductionmentioning

confidence: 99%

Surface Evolver Simulation of Droplet Wetting Morphologies on Fiber Without Gravity

Lù

2022

Front. Energy Res.

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Droplet wetting phenomenon is encountered in many engineering applications. Three wetting morphologies, namely, barrel, clamshell, and liquid bridge, are investigated by the finite element method, Surface Evolver (SE) simulations. The barrel shape shrinks gradually as contact angle increases. In the shrinkage process, the dimensionless wetting length reduces, and maximum diameter increases. As the increase of the contact angle, the gas–liquid contact line of clamshell droplets bends and contracts inward gradually. The geometry parameters are extracted from the results from simulations. In addition, the critical spacing of liquid bridge rupture is determined. The critical spacing increases rapidly with the expanding of liquid bridge volume. The liquid bridge volume has a significant effect on critical spacing.

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Fast modeling of clam-shell drop morphologies on cylindrical surfaces

Cited by 15 publications

References 35 publications

Spontaneous Movement of a Droplet on a Conical Substrate: Theoretical Analysis of the Driving Force

Spontaneous Movement of a Droplet on a Conical Substrate: Theoretical Analysis of the Driving Force

Wetting of electrospun nylon-11 fibers and mats

Surface Evolver Simulation of Droplet Wetting Morphologies on Fiber Without Gravity

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