2003
DOI: 10.1017/s0022112003006360
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Axisymmetric wave regimes in viscous liquid film flow over a spinning disk

Abstract: Finite-amplitude capillary waves, which can accompany the axisymmetric flow of a thin viscous film over a rotating disk, are considered. A system of approximate evolution equations for the film thickness and volumetric flow rates in the radial and azimuthal directions is derived, which contains two similarity parameters. In order to inspire confidence in this model, its steady solutions and their linear stability characteristics are compared to those of the full Navier–Stokes equations. Localized equations, wh… Show more

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Cited by 52 publications
(93 citation statements)
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“…Future work will focus on extending these calculations to related flows, such as the flow of a thin liquid film over a spinning disc, that has recently been investigated by Sisoev et al (2003). This flow, which is also accompanied by finiteamplitude waves, is more amenable to control than that associated with a falling liquid film.…”
Section: Resultsmentioning
confidence: 99%
“…Future work will focus on extending these calculations to related flows, such as the flow of a thin liquid film over a spinning disc, that has recently been investigated by Sisoev et al (2003). This flow, which is also accompanied by finiteamplitude waves, is more amenable to control than that associated with a falling liquid film.…”
Section: Resultsmentioning
confidence: 99%
“…On the other hand, the vibration of the disc is assumed not to have much influence on the formation of wavy film surface on the disc. Sisoev et al (2003) calculated the axisymmetric wave in viscous liquid film flowing over a spinning disc neglecting the vibration of the disc. The wave in the melt film on the disc, if it exists, can affect the film formation on the disc and cause the transition of disintegration modes, for instance, from film disintegration mode to ligament disintegration mode.…”
Section: Instability Of the Melt Filmmentioning
confidence: 99%
“…A fully resolved numerical simulation is unfeasible due to the exceedingly high spatial resolution requirements, which arise from the small molecular diffusivity leading to a thin concentration boundary layer, and the thin film nature of the flow, resulting in a large disparity between the two governing length scales in the radial and vertical directions. The integral boundary layer (IBL) approximation offers a computationally less costly alternative approach which has already been successfully used to analyze the fluid dynamics and gas absorption into a thin film flow on a spinning disk in various previous studies (e.g., Kim & Kim [1], Sisoev et al [2], Matar et al [3]). The objective of the present work is to extend the IBL approximation for the solid-liquid mass transfer (Prieling & Steiner [4]) to unsteady flow in order to analyze in particular the effect of the surface waves on the mass transfer.…”
Section: Introductionmentioning
confidence: 99%