Theory of Meniscus Shape in Film Flows. A Synthesis

Higgins, Brian; Silliman, William J.; Brown, Robert A.; Scriven, L. E.

doi:10.1021/i160064a001

Cited by 26 publications

(17 citation statements)

References 15 publications

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“…This study is an alternative of the Giavedoni and Saita 9 and Heil 11 works. Its numerical part is reduced to the resolution of a third-order ordinary differential equation, 12,13 and is inspired by previous theoretical work introducing weak fluid inertia in plate 14 -16 and wire coating, 17,18 and by 2D channel drainage. 19 In the latter case, the theory takes also into account the drainage by gravity.…”

Section: Introductionmentioning

confidence: 99%

The effect of weak inertia on the emptying of a tube

Ryck

2002

Physics of Fluids

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We present an extension of the classical axisymmetric Bretherton theory giving the thickness of the liquid film left on the walls of a drained tube, treating the case of weak inertia by a regular perturbation method. The results obtained by numerical integration fit Taylor's ͓J. Fluid Mech. 10, 161 ͑1961͔͒ experiments, obtained with viscous fluids ͑glycerine and strong sucrose solutions͒, and Aussillous and Quéré's ͓Phys. Fluids 12, 2367 ͑2000͔͒ experiments with low viscosity liquids ͑hexamethyldisiloxane and water͒ when inertia becomes important. The discrepancies observed between the theory and high Reynolds numbers experiments ͑ReϾ1000͒ are commented on.

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Section: Introductionmentioning

confidence: 99%

The effect of weak inertia on the emptying of a tube

Ryck

2002

Physics of Fluids

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“…13 Some works have been conducted to improve this model using simplified systems. [14][15][16][17][18][19] However, they all fail to verify the corresponding experimental tendencies because most of the dip-coated solutions are non-Newtonian as a result of their viscosity and surface tension that are continuously modified upon solvent evaporation and/or simultaneous polymerisation. While dipcoating can be used to deposit biomolecules, polymers or metallic nano-particles, [20][21][22][23] it is widely applied to perform metallic oxide coatings from sol-gel solutions.…”

Section: Dip-coating Mechanism and Thickness Controlmentioning

confidence: 99%

How to exploit the full potential of the dip-coating process to better control film formation

2011

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Dip-coating is an ideal method to prepare thin layers from chemical solutions since it is a lowcost and waste-free process that is easy to scale up and offers a good control on thickness. For such reasons, it is becoming more and more popular not only in research and development laboratories, but also in industrial production, as testified by the increasing number of annual publications (9, 180, and 480 articles in 1990, 2000, and 2010, respectively). Even so, the full potential of dip-coating has not yet been fully explored and exploited. This article highlights the recent progresses made by tuning the processing conditions beyond conventional ranges to prepare more and more complex and controlled nanostructured layers. Especially, we will see how one can take advantage of an accurate tuning of the withdrawal speed and of the atmosphere to control the nanostructuration originating from evaporation-induced-selfassembly (EISA), together with the final thickness from a few nm up to 1 mm from the same initial solution. A new regime of deposition, involving capillary induced convective coating that is highly suitable for the deposition from aqueous and/or highly diluted solutions, will be described. Finally, it will be demonstrated that dip-coating is also a well suited method to impregnate porosity, to make nanocomposites, or to perform nanocasting. The present discussion is illustrated with systems of interests in domains such as optics, energies, nanoelectronics, nanofluidics, etc.

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“…It is required that h /h be small everywhere, becauseh decreases as the contact line is approached, although it does not go to zero in the region of interest, as shown in figure 1. The boundary conditions at that interface (Higgins et al 1977) are simplified by using the lubrication theory approximation under which ∂h/∂r is small, as are the perturbed quantities and all the fluid mechanical quantities in the base case which appear (with the exception of the term in (2.10)) because they are small, being dependent onh. In addition the base shear stress is zero at z =h.…”

Section: A Liquid Drop On a Horizontal Solid Surface And Under Airmentioning

confidence: 99%

Contact line instability in spontaneous spreading of a drop on a solid surface

Neogi

2001

J. Fluid Mech.

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The wetting kinetics of a drop on a solid surface is measured by observing the movement of the contact line, which is often seen to be unstable, showing a scalloped profile. Many factors have been cited, which, although they can cause instability, can also be eliminated from the experiments, but still the instabilities appear. The basic shape of a spreading drop has a large curvature localized in the vicinity of the contact line as determined by microscopy. It is shown here using linear stability analysis that this curvature can destabilize the contact line region. When the drop profile is disturbed from a basic thickness of h to h + h′, there are two contributions from h′ in the form of added Laplace pressure. One of these is commonly accounted for in the stability analyses. The other is not, and occurs only if the basic shape has a curvature, and the drop has a large curvature near the apparent dynamic contact line, but only for a wetting liquid. This is why instability is not reported in the case of spreading of drops of non-wetting liquids. It also explains why instability gives rise to the changed spreading kinetics of drops that are sometimes reported in the literature, and suggests that as larger curvatures are expected in forced spreading those cases are probably accompanied quite frequently by unstable contact lines.

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Theory of Meniscus Shape in Film Flows. A Synthesis

Cited by 26 publications

References 15 publications

The effect of weak inertia on the emptying of a tube

The effect of weak inertia on the emptying of a tube

How to exploit the full potential of the dip-coating process to better control film formation

Contact line instability in spontaneous spreading of a drop on a solid surface

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