Numerical Solution of a Rimming Flow Problem Using a Moving Mesh Method

Alan F. Hegarty; Stephen B.G. O'Brien; Stephen Sikwila

doi:10.2478/cmam-2003-0024

Numerical Solution of a Rimming Flow Problem Using a Moving Mesh Method

Alan F. Hegarty, Stephen B.G. O'Brien, Stephen Sikwila

University of Limerick

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

Abstract

We consider the evolution of a thin film of viscous fluid on the inside surface of a cylinder with the horizontal axis, rotating with a constant angular velocity about this axis. We use a lubrication approximation extended to the first order in the dimensionless film thickness (including the small effects of the variation of the film pressure across its thickness and the surface tension) and numerically we compute the time evolution of the film to a steady state.

Original language	English
Pages (from-to)	373-386
Number of pages	14
Journal	Computational Methods in Applied Mathematics
Volume	3
Issue number	3
DOIs	https://doi.org/10.2478/cmam-2003-0024
Publication status	Published - 2003

Keywords

finite difference method
lubrication approximation
moving mesh method
rimming flow

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10.2478/cmam-2003-0024

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title = "Numerical Solution of a Rimming Flow Problem Using a Moving Mesh Method",

abstract = "We consider the evolution of a thin film of viscous fluid on the inside surface of a cylinder with the horizontal axis, rotating with a constant angular velocity about this axis. We use a lubrication approximation extended to the first order in the dimensionless film thickness (including the small effects of the variation of the film pressure across its thickness and the surface tension) and numerically we compute the time evolution of the film to a steady state.",

keywords = "finite difference method, lubrication approximation, moving mesh method, rimming flow",

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AU - Hegarty, Alan F.

AU - O'Brien, Stephen B.G.

AU - Sikwila, Stephen

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N2 - We consider the evolution of a thin film of viscous fluid on the inside surface of a cylinder with the horizontal axis, rotating with a constant angular velocity about this axis. We use a lubrication approximation extended to the first order in the dimensionless film thickness (including the small effects of the variation of the film pressure across its thickness and the surface tension) and numerically we compute the time evolution of the film to a steady state.

AB - We consider the evolution of a thin film of viscous fluid on the inside surface of a cylinder with the horizontal axis, rotating with a constant angular velocity about this axis. We use a lubrication approximation extended to the first order in the dimensionless film thickness (including the small effects of the variation of the film pressure across its thickness and the surface tension) and numerically we compute the time evolution of the film to a steady state.

KW - finite difference method

KW - lubrication approximation

KW - moving mesh method

KW - rimming flow

UR - https://www.scopus.com/pages/publications/85025275098

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DO - 10.2478/cmam-2003-0024

M3 - Article

AN - SCOPUS:85025275098

SN - 1609-4840

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EP - 386

JO - Computational Methods in Applied Mathematics

JF - Computational Methods in Applied Mathematics

IS - 3

ER -

Numerical Solution of a Rimming Flow Problem Using a Moving Mesh Method

Abstract

Keywords

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