Sliding of drops from surfaces of different roughnesses

Bikerman, J. J.

doi:10.1016/0095-8522(50)90059-6

Cited by 163 publications

(110 citation statements)

References 4 publications

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“…These works were primarily experimental in nature although a few contained some analysis based on rather simplistic energy arguments. Bikerman (1950) observed that the critical inclination angle increases with substrate roughness, arguing that the resistance to sliding is affected in a similar manner as it occurs in solids. Extrand & Kumagai (1995), who examined the validity of (1.1) for surfaces of different roughness, argued that hysteresis cannot be attributed solely to substrate roughness, but also to chemical heterogeneities, since they observed that substrates of similar roughness characteristics exhibited markedly different levels of hysteresis.…”

Section: Introductionmentioning

confidence: 75%

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: 75%

Droplet motion on inclined heterogeneous substrates

Savva

Kalliadasis

2013

J. Fluid Mech.

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“…This fact has been previously noted [10,11,18,20], but its effect on the stability of an inclined drop has not been fully appreciated.…”

Section: Contact Line Stability and Depinning For An Inclined Dropmentioning

confidence: 92%

“…(1) is believed to describe the relation between contact angle hysteresis and the equilibrium and criticality of an inclined drop [7,8,9,10,11,17,18,19], from small inclinations and volumes at which the drop deforms but remains static up to the critical inclination or volume at which it begins to slide continuously. The validity of the MOF functional form has been verified in a variety of experiments [8,9,10,11,17,18,19]. However, surprisely it was noted that all phenomenological improvements have led to the same general form of Eq.…”

Section: Figmentioning

confidence: 99%

Effect of transient pinning on stability of drops sitting on an inclined plane

Berejnov

Thorne

2007

Phys. Rev. E

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We report on new instabilities of the quasi-static equilibrium of water drops pinned by a hydrophobic inclined substrate. The contact line of a statically pinned drop exhibits three transitions of partial depinning: depinning of the advancing and receding parts of the contact line and depinning of the entire contact line leading to the drop's translational motion. We find a region of parameters where the classical Macdougall-Ockrent-Frenkel approach fails to estimate the critical volume of the statically pinned inclined drop.

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“…For example, a smooth eggshell surface may prevent water from clogging pores and impeding gas exchange by minimizing resistance for sliding water droplets [60]. A highly reflective eggshell surface may also help prevent damage to the embryo from solar radiation [61].…”

Section: Discussionmentioning

confidence: 99%

A nanostructural basis for gloss of avian eggshells

Igic

Fecheyr-Lippens

Xiao

et al. 2015

J. R. Soc. Interface.

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The role of pigments in generating the colour and maculation of birds' eggs is well characterized, whereas the effects of the eggshell's nanostructure on the visual appearance of eggs are little studied. Here, we examined the nanostructural basis of glossiness of tinamou eggs. Tinamou eggs are well known for their glossy appearance, but the underlying mechanism responsible for this optical effect is unclear. Using experimental manipulations in conjunction with angle-resolved spectrophotometry, scanning electron microscopy, atomic force microscopy and chemical analyses, we show that the glossy appearance of tinamou eggshells is produced by an extremely smooth cuticle, composed of calcium carbonate, calcium phosphate and, potentially, organic compounds such as proteins and pigments. Optical calculations corroborate surface smoothness as the main factor producing gloss. Furthermore, we reveal the presence of weak iridescence on eggs of the great tinamou (Tinamus major), an optical effect never previously documented for bird eggs. These data highlight the need for further exploration into the nanostructural mechanisms for the production of colour and other optical effects of avian eggshells.

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Sliding of drops from surfaces of different roughnesses

Cited by 163 publications

References 4 publications

Droplet motion on inclined heterogeneous substrates

Droplet motion on inclined heterogeneous substrates

Effect of transient pinning on stability of drops sitting on an inclined plane

A nanostructural basis for gloss of avian eggshells

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