Geometrical sketch of flow field due to the vertical removal of a flat solid from a viscous liquid pool.
Schematic representation of the experiments by Quéré et al. 6 showing dimensionless film thickness versus dimensionless velocities for a small cylindrical fiber.
Log-log plot of dimensionless film thickness versus Capillary number for A equal to 6.13 × 10−16 (—), 6.13 × 10−15 (− −), 6.13 × 10−14 (-··), 6.13 × 10−13 (- - - -), and 6.13 × 10−12 (-·-). The dotted line is the L&L 1 solution.
Relative magnitude of capillary (-·· CC), molecular (— MC) and viscous (- - VC) components [Eq. (18) ] along the dynamic meniscus region for Ca = 10−8 and A = 6.13 × 10−13.
Comparison of capillary (-·· CCM), molecular (— MCM) and viscous (- - - VCM) 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 × 10−13.
Dimensionless film thickness, , versus dimensionless longitudinal variable, for Ca = 10−6, and A equal to 10−12 (- -), and 10−15 (-··). In the inset, the dotted line is of the L&L 1 solution.
Dimensionless pressure versus dimensionless elevation for Ca = 10−6. 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 10−12 (- -) and 10−15 (-··).
Values of physicochemical constants for n-heptane/PTFE system.
Computed values of β and h at the point of matching, and final film thicknesses, calculated [h ∞ Eq. (11) ] and computed [h ∞ (Comp)], for selected values of Ca.
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