Waves on the surface of a thin layer of viscous liquid

V. E. Nakoryakov; I. R. Shreiber

doi:10.1007/BF01200661

Waves on the surface of a thin layer of viscous liquid

V. E. Nakoryakov, I. R. Shreiber

Department of Mechanical Engineering

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Under the assumption that the boundary layer approximation for the original equations is valid, we show the possibility of the existence of progressive waves on the surface of a vertically flowing film when surface tension is neglected. From the system of equations obtained for a thin layer of viscous liquid flowing down an inclined plane, one equation for perturbations of a thin film follows. Steady solutions of this equation allow periodic discontinuous solutions of the roll-wave type.

Original language	English
Pages (from-to)	237-241
Number of pages	5
Journal	Journal of Applied Mechanics and Technical Physics
Volume	14
Issue number	2
DOIs	https://doi.org/10.1007/BF01200661
State	Published - 1 Mar 1973

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1007/BF01200661

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abstract = "Under the assumption that the boundary layer approximation for the original equations is valid, we show the possibility of the existence of progressive waves on the surface of a vertically flowing film when surface tension is neglected. From the system of equations obtained for a thin layer of viscous liquid flowing down an inclined plane, one equation for perturbations of a thin film follows. Steady solutions of this equation allow periodic discontinuous solutions of the roll-wave type.",

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N2 - Under the assumption that the boundary layer approximation for the original equations is valid, we show the possibility of the existence of progressive waves on the surface of a vertically flowing film when surface tension is neglected. From the system of equations obtained for a thin layer of viscous liquid flowing down an inclined plane, one equation for perturbations of a thin film follows. Steady solutions of this equation allow periodic discontinuous solutions of the roll-wave type.

AB - Under the assumption that the boundary layer approximation for the original equations is valid, we show the possibility of the existence of progressive waves on the surface of a vertically flowing film when surface tension is neglected. From the system of equations obtained for a thin layer of viscous liquid flowing down an inclined plane, one equation for perturbations of a thin film follows. Steady solutions of this equation allow periodic discontinuous solutions of the roll-wave type.

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Waves on the surface of a thin layer of viscous liquid

Abstract

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