Steady motion of a drop along a liquid interface

James J. Kriegsmann; Michael J. Miksis

doi:10.1137/S0036139901400215

Steady motion of a drop along a liquid interface

James J. Kriegsmann^*, Michael J. Miksis

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

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

27 Scopus citations

Abstract

We investigate the motion of a liquid drop as it flows along the interface of a liquid film. Steady, two-dimensional solutions are found in the lubrication limit for a horizontal and inclined plane. The effects of the physical parameters on the interface shapes are studied. When the plane is inclined, solutions are found only for a special set of parameter values.

Original language	English (US)
Pages (from-to)	18-40
Number of pages	23
Journal	SIAM Journal on Applied Mathematics
Volume	64
Issue number	1
DOIs	https://doi.org/10.1137/S0036139901400215
State	Published - Oct 2003

Keywords

Free boundaries
Thin films
Triple junctions

ASJC Scopus subject areas

Applied Mathematics

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10.1137/S0036139901400215

Cite this

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title = "Steady motion of a drop along a liquid interface",

abstract = "We investigate the motion of a liquid drop as it flows along the interface of a liquid film. Steady, two-dimensional solutions are found in the lubrication limit for a horizontal and inclined plane. The effects of the physical parameters on the interface shapes are studied. When the plane is inclined, solutions are found only for a special set of parameter values.",

keywords = "Free boundaries, Thin films, Triple junctions",

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AU - Kriegsmann, James J.

AU - Miksis, Michael J.

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N2 - We investigate the motion of a liquid drop as it flows along the interface of a liquid film. Steady, two-dimensional solutions are found in the lubrication limit for a horizontal and inclined plane. The effects of the physical parameters on the interface shapes are studied. When the plane is inclined, solutions are found only for a special set of parameter values.

AB - We investigate the motion of a liquid drop as it flows along the interface of a liquid film. Steady, two-dimensional solutions are found in the lubrication limit for a horizontal and inclined plane. The effects of the physical parameters on the interface shapes are studied. When the plane is inclined, solutions are found only for a special set of parameter values.

KW - Free boundaries

KW - Thin films

KW - Triple junctions

UR - https://www.scopus.com/pages/publications/1842562949

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DO - 10.1137/S0036139901400215

M3 - Article

AN - SCOPUS:1842562949

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ER -

Steady motion of a drop along a liquid interface

Abstract

Keywords

ASJC Scopus subject areas

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