A small-mode model for spatial regimes on a freely falling liquid film

O. Yu Tsvelodub

doi:10.1088/1742-6596/1382/1/012103

A small-mode model for spatial regimes on a freely falling liquid film

Research output: Contribution to journal › Conference article › peer-review

Abstract

Spatial wave modes of a viscous liquid film freely flowing down a vertical wall are considered. In the case of small Reynolds numbers the problem is reduced to considering solutions of a nonlinear equation for the film thickness deviation from the undisturbed level. It was used to obtain a model system of equations, describing spatially periodic solutions with wave numbers lying in the vicinity of special resonance points and symmetric in the transverse coordinate. Several solutions for this system are provided.

Original language	English
Article number	012103
Number of pages	7
Journal	Journal of Physics: Conference Series
Volume	1382
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/1382/1/012103
Publication status	Published - 28 Nov 2019
Event	3th Siberian Thermophysical Seminar, STS 2019 - Novosibirsk, Russian Federation Duration: 27 Aug 2019 → 29 Aug 2019

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10.1088/1742-6596/1382/1/012103

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title = "A small-mode model for spatial regimes on a freely falling liquid film",

abstract = "Spatial wave modes of a viscous liquid film freely flowing down a vertical wall are considered. In the case of small Reynolds numbers the problem is reduced to considering solutions of a nonlinear equation for the film thickness deviation from the undisturbed level. It was used to obtain a model system of equations, describing spatially periodic solutions with wave numbers lying in the vicinity of special resonance points and symmetric in the transverse coordinate. Several solutions for this system are provided.",

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