Equilibrium of droplets on a deformable substrate: Influence of disjoining pressure

Ahmed, Gulraiz; Kalinin, Vasily V.; Arjmandi-Tash, Omid; Starov, Victor

doi:10.1016/j.colsurfa.2016.06.057

Cited by 10 publications

(47 citation statements)

References 16 publications

(20 reference statements)

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“…A simplified linear disjoining/conjoining pressure isotherm, Π, and elasticity of the substrate through Winkler's model [27,31] are used in this section. According to the Winkler's model, the deformation in the soft substrate is regional and has a direct relation with the applied pressure, [14]:…”

Section: Equilibrium Of Droplets On Soft Substratesmentioning

confidence: 99%

“…Reminder, a droplet is deemed to be at equilibrium under oversaturated vapor only according to Kelvin's equation. The excess free energy of the equilibrium thin film on the deformed solid in front of the liquid droplet per unit area is given by [11,14]:…”

Section: Assumementioning

confidence: 99%

“…Disjoining/conjoining pressure approach was first introduced by Derjaguin for droplets on solid substrates [12]. More recently it was shown that this approach can also be used for droplets on deformable substrates [11,[13][14][15][16][17]]. 2 of 16 Recently, experimental studies on droplet wetting of deformable substrate have gained a lot of interest primarily due to technological advances in imaging techniques [18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…This has allowed building understanding of theoretical concepts underlying in experiments [23][24][25][26]. Recent progress of theoretical studies for the equilibrium and hysteresis of contact angles of sessile droplets under the influence of disjoining/conjoining pressure were developed [14,16,17] and reviewed below.…”

Section: Introductionmentioning

confidence: 99%

“…Elasticity of the soft substrate is introduced using Winkler's model [27]. Substrate's deformation is directly dependent upon the physical characteristics of the disjoining/conjoining pressure isotherm and substrate's physical properties [14].…”

Section: Introductionmentioning

confidence: 99%

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Sessile droplets on deformable substrates

Ahmed¹,

Koursari²,

Trybała³

et al. 2018

Preprint

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Wetting of deformable substrates has gained significant interest over the past decade due to its extensive applications and uses. This interest has developed due to technological advances which are able to capture interfacial behavior taking place when a liquid droplet is placed on a deformable substrate. Researchers have developed different theories to explain processes taking place in the process of wetting of deformable/soft substrates. For the scope of this review, we will consider the fluid to be Newtonian, partially wetting, and surface forces are incorporated with the help of disjoining/conjoining pressure acting in the vicinity of the apparent, three-phase contact line. The following subjects are briefly reviewed: (i) Equilibrium of droplets on soft substrates. It is shown that properties of the disjoining/conjoining pressure isotherm and properties of the deformable substrate determine both the shape of the liquid droplet and deformation of the substrate; (ii) Equilibrium conditions of droplets on deformable substrates. It is shown that for a droplet to be at equilibrium on a deformable substrate under consideration, Jacobi’s sufficient condition is satisfied; (iii) Hysteresis of contact angle of sessile droplets on deformable substrates. It is shown that as the elasticity of the deformable substrate is increased, both advancing and receding contact angles are reduced.

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Section: Equilibrium Of Droplets On Soft Substratesmentioning

confidence: 99%

Section: Assumementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Sessile droplets on deformable substrates

Ahmed¹,

Koursari²,

Trybała³

et al. 2018

Preprint

Self Cite

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Self-organized gradient percolation method for numerical simulation of impregnation in porous media

Nguyen

Blond

Sayet

et al. 2019

Computer Methods in Applied Mechanics and Engineering

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Static and dynamic wetting of soft substrates

Chen

Bonaccurso

Gambaryan‐Roisman

et al. 2018

Current Opinion in Colloid & Interface Science

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a b s t r a c tA survey of recent literature on wetting phenomena reveals that there is a fast-growing interest in wetting of soft or deformable substrates, due to its potential applications in many industrial, technical and biological processes. Unlike rigid substrates, a droplet deposited on a soft substrate deforms the substrate via a combination of the normal component of surface tension and the Laplace pressure, i.e. by capillary force and the action of disjoining pressure. In turn, the capillary and disjoining pressure-induced substrate deformation affects the wetting phenomena on the substrate. In this review, we summarize recent achievements on static and dynamic wetting of soft substrates and provide an outlook to future progress. In static wetting, theoretical, numerical and experimental investigations of capillary and disjoining pressure-induced substrate deformation are introduced, and corresponding effects on contact angle and contact angle hysteresis are discussed. In dynamic wetting, the influence of substrate stiffness on spontaneous wetting, droplet impact dynamics, and other types of forced wetting and dewetting is considered. Finally, other interesting capillarity-controlled phenomena occurring on soft and softlike substrates are briefly introduced.

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Equilibrium of droplets on a deformable substrate: Influence of disjoining pressure

Cited by 10 publications

References 16 publications

Sessile droplets on deformable substrates

Sessile droplets on deformable substrates

Self-organized gradient percolation method for numerical simulation of impregnation in porous media

Static and dynamic wetting of soft substrates

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