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Liquid film drag out in the presence of molecular forces
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10.1063/1.4794972
/content/aip/journal/pof2/25/3/10.1063/1.4794972
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/3/10.1063/1.4794972

Figures

Image of FIG. 1.
FIG. 1.

Geometrical sketch of flow field due to the vertical removal of a flat solid from a viscous liquid pool.

Image of FIG. 2.
FIG. 2.

Schematic representation of the experiments by Quéré showing dimensionless film thickness versus dimensionless velocities for a small cylindrical fiber.

Image of FIG. 3.
FIG. 3.

Log-log plot of dimensionless film thickness versus Capillary number for A equal to 6.13 × 10 (—), 6.13 × 10 (− −), 6.13 × 10 (-··), 6.13 × 10 (- - - -), and 6.13 × 10 (-·-). The dotted line is the L&L solution.

Image of FIG. 4.
FIG. 4.

Relative magnitude of capillary (-·· CC), molecular (— MC) and viscous (- - VC) components [Eq. (18) ] along the dynamic meniscus region for = 10 and A = 6.13 × 10.

Image of FIG. 5.
FIG. 5.

Comparison of capillary (-·· CC), molecular (— MC) and viscous (- - - VC) terms [Eq. (18) ] at the point of maximum value of molecular forces along the film length. The maximum values are shown as a function of Capillary numbers for a constant value of A = 6.13 × 10.

Image of FIG. 6.
FIG. 6.

Dimensionless film thickness, , versus dimensionless longitudinal variable, for = 10, and A equal to 10 (- -), and 10 (-··). In the inset, the dotted line is of the L&L solution.

Image of FIG. 7.
FIG. 7.

Dimensionless pressure versus dimensionless elevation for = 10. The small square shows a detail of the region where static and dynamic menisci meet. The augmented terms on the right hand side are for values of A equal to 10 (- -) and 10 (-··).

Tables

Generic image for table
Table I.

Values of physicochemical constants for n-heptane/PTFE system.

Generic image for table
Table II.

Computed values of and at the point of matching, and final film thicknesses, calculated [ Eq. (11) ] and computed [ (Comp)], for selected values of .

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/content/aip/journal/pof2/25/3/10.1063/1.4794972
2013-03-18
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Liquid film drag out in the presence of molecular forces
http://aip.metastore.ingenta.com/content/aip/journal/pof2/25/3/10.1063/1.4794972
10.1063/1.4794972
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