Axisymmetric spreading of a thin drop under gravity and time-dependent non-uniform surface tension

E. Momoniat

doi:10.1016/j.jmaa.2005.08.066

Axisymmetric spreading of a thin drop under gravity and time-dependent non-uniform surface tension

E. Momoniat

University of the Witwatersrand

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

3 Citations (Scopus)

Abstract

A second-order non-linear partial differential equation modelling the gravity driven spreading of a thin viscous liquid film with time-dependent non-uniform surface tension Σ ( t, r ) is considered. The problem is specified in cylindrical polar coordinates where we assume the flow is axisymmetric. Similarity solutions describing the spreading of a thin drop and the flattening of a thin bubble are investigated.

Original language	English
Pages (from-to)	41-50
Number of pages	10
Journal	Journal of Mathematical Analysis and Applications
Volume	322
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2005.08.066
Publication status	Published - 1 Oct 2006
Externally published	Yes

Keywords

Non-uniform surface tension
Similarity solutions
Thin film

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2005.08.066

Cite this

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abstract = "A second-order non-linear partial differential equation modelling the gravity driven spreading of a thin viscous liquid film with time-dependent non-uniform surface tension Σ ( t, r ) is considered. The problem is specified in cylindrical polar coordinates where we assume the flow is axisymmetric. Similarity solutions describing the spreading of a thin drop and the flattening of a thin bubble are investigated.",

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AB - A second-order non-linear partial differential equation modelling the gravity driven spreading of a thin viscous liquid film with time-dependent non-uniform surface tension Σ ( t, r ) is considered. The problem is specified in cylindrical polar coordinates where we assume the flow is axisymmetric. Similarity solutions describing the spreading of a thin drop and the flattening of a thin bubble are investigated.

KW - Non-uniform surface tension

KW - Similarity solutions

KW - Thin film

UR - https://www.scopus.com/pages/publications/33646672179

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DO - 10.1016/j.jmaa.2005.08.066

M3 - Article

AN - SCOPUS:33646672179

SN - 0022-247X

VL - 322

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EP - 50

JO - Journal of Mathematical Analysis and Applications

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IS - 1

ER -

Axisymmetric spreading of a thin drop under gravity and time-dependent non-uniform surface tension

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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