Stability of thin liquid films and sessile droplets under confinement

Dörfler, Fabian; Rauscher, Markus; Dietrich, S.

doi:10.1103/physreve.88.012402

Cited by 9 publications

(27 citation statements)

References 82 publications

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“…We derived analytical expressions for the energies of a film and a drop and we determined which state is the one with less energy. The results presented here are consistent with those for the 3D case [26] and they are generalizations in the sense that gravity is included.…”

Section: Discussionsupporting

confidence: 89%

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Final state of a perturbed liquid film inside a container under the effect of solid-liquid molecular forces and gravity

Perazzo

Intyre²,

Gomba³

2014

Phys. Rev. E

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We investigate theoretically the possible final stationary configurations that can be reached by a laterally confined uniform liquid film inside a container. The liquid is under the action of gravity, surface tension, and the molecular interaction with the solid substrate. We study the case when the container is in an upright position as well as when it is turned upside down. The governing parameters of the problem are the initial thickness of the film, the size of the recipient that contains the liquid, and a dimensionless number that quantifies the relative strength of gravity with respect to the molecular interaction. The uniform film is always a possible final state and depending on the value of the parameters, up to three different additional final states may exist, each one consisting in a droplet surrounded by a thin film. We derive analytical expressions for the energy of these possible final configurations and from these we analyze which state is indeed reached. A uniform thin film may show three different behaviors after a perturbation: The system recovers its initial shape after any perturbation, the fluid evolves towards a drop (if more than one is possible, it tends toward that with the thinnest precursor film) for any perturbation, or the system ends as a uniform film or a drop depending on the details of the perturbation.

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Section: Discussionsupporting

confidence: 89%

“…[22][23][24][25] for the two-dimensional (2D) case and more recently for the three-dimensional case in Ref. [26]. Here we analyze theoretically the possible final 2D state of an initially uniform liquid film inside a container with finite width after perturbation.…”

Section: Introductionmentioning

confidence: 97%

Final state of a perturbed liquid film inside a container under the effect of solid-liquid molecular forces and gravity

Perazzo

Intyre²,

Gomba³

2014

Phys. Rev. E

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“…[4] investigated the dynamics of an inclined thin liquid films of variable thickness in steady and unsteady cases and when the film is stationary and uniform. [5] considered the stability of thin liquid films and sessile droplets. The stability of the contact line of thin fluid film flows with constant flux configuration is considered by [6].…”

Section: Introductionmentioning

confidence: 99%

Steady Flow of Thin Liquid Films on an Inclined Solid surface

Abdulahad¹

2014

IOSRJEN

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-In this paper, we consider the thinning process of an inclined thin liquid film over a solid boundary with an inclination angle to the horizontal in gravity driven flow. Throughout this work, we assumed that the fluid thickness is constant far behind the front and we neglect the thickness of the film at the beginning of the motion. The differential equation of the film thickness is obtained analytically and the solution of equation that represents the film thickness is obtained numerically by using Rung-Kutta method.

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“…[5] investigated the dynamics of an inclined thin liquid films of variable thickness in steady and unsteady cases and when the film is stationary and uniform. [6] considered the stability of thin liquid films and sessile droplets. The stability of the contact line of thin fluid film flows with constant flux configuration is considered by [7].…”

Section: Introductionmentioning

confidence: 99%

“…H and U are the characteristics. By using the dimensionless variables the continuity equation (1the capillary number.Furthermore the Navier-Stokes equations(5) and(6) in non-dimensional variables are respectively given by…”

mentioning

confidence: 99%

The Drainage of Thin Liquid Films on an Inclined Solid Surface

Abdulahad¹,

Derbaz²

2014

IOSRJM

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In this paper, we consider the thinning process of an inclined thin liquid film over a solid boundary with an inclination angle to the horizontal in gravity driven flow. Throughout this work, we assumed that the fluid thickness is constant far behind the front and we neglect the thickness of the film at the beginning of the motion. The equation of the film thickness is obtained analytically, using the similarity method by which we can isolate the explicit time dependence and then the shape of the film will depend on one variable only. The solution of the governing equations of the film thickness is obtained numerically by the Rung-Kutta method with the aid of Mat lab(ode45).

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Stability of thin liquid films and sessile droplets under confinement

Cited by 9 publications

References 82 publications

Final state of a perturbed liquid film inside a container under the effect of solid-liquid molecular forces and gravity

Final state of a perturbed liquid film inside a container under the effect of solid-liquid molecular forces and gravity

Steady Flow of Thin Liquid Films on an Inclined Solid surface

The Drainage of Thin Liquid Films on an Inclined Solid Surface

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