Predicting Three-Dimensional Inertial Thin Film Flow over Micro-Scale Topography

Sergii Veremieiev; Philip H. Gaskell; Yeaw Chu Lee; Harvey M. Thompson

doi:10.1007/978-3-642-17884-9_105

Predicting Three-Dimensional Inertial Thin Film Flow over Micro-Scale Topography

Sergii Veremieiev, Philip H. Gaskell, Yeaw Chu Lee, Harvey M. Thompson

School of Engineering & Physical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

Alternative lubrication and depth-averaged formulations of the unsteady Navier-Stokes equations are used to explore the problem of gravity-driven inertial thin film flow on substrates containing topography that is either fully submerged or protrudes through the film. The resulting discrete form of the equation sets are solved using a multigrid strategy incorporating automatic adaptive time-stepping, enabling accurate mesh independent solutions to be generated very efficiently. Two benchmark test problems are solved revealing the extent of the free surface disturbance that ensues, together with the effect of inertia on the same.

Original language	English
Title of host publication	COMPUTATIONAL FLUID DYNAMICS 2010
Editors	A Kuzmin
Place of Publication	BERLIN
Publisher	Springer
Pages	833-838
Number of pages	6
ISBN (Print)	978-3-642-17883-2
DOIs	https://doi.org/10.1007/978-3-642-17884-9_105
Publication status	Published - 2011
Event	6th International Conference on Computational Fluid Dynamics - St Petersburg Duration: 12 Jul 2010 → 16 Jul 2010

Conference

Conference	6th International Conference on Computational Fluid Dynamics
City	St Petersburg
Period	12/07/10 → 16/07/10

Keywords

LIQUID-FILMS

Access to Document

10.1007/978-3-642-17884-9_105

Cite this

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title = "Predicting Three-Dimensional Inertial Thin Film Flow over Micro-Scale Topography",

abstract = "Alternative lubrication and depth-averaged formulations of the unsteady Navier-Stokes equations are used to explore the problem of gravity-driven inertial thin film flow on substrates containing topography that is either fully submerged or protrudes through the film. The resulting discrete form of the equation sets are solved using a multigrid strategy incorporating automatic adaptive time-stepping, enabling accurate mesh independent solutions to be generated very efficiently. Two benchmark test problems are solved revealing the extent of the free surface disturbance that ensues, together with the effect of inertia on the same.",

keywords = "LIQUID-FILMS",

author = "Sergii Veremieiev and Gaskell, {Philip H.} and Lee, {Yeaw Chu} and Thompson, {Harvey M.}",

year = "2011",

doi = "10.1007/978-3-642-17884-9_105",

language = "English",

isbn = "978-3-642-17883-2",

pages = "833--838",

editor = "A Kuzmin",

booktitle = "COMPUTATIONAL FLUID DYNAMICS 2010",

publisher = "Springer",

note = "6th International Conference on Computational Fluid Dynamics ; Conference date: 12-07-2010 Through 16-07-2010",

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TY - GEN

T1 - Predicting Three-Dimensional Inertial Thin Film Flow over Micro-Scale Topography

AU - Veremieiev, Sergii

AU - Gaskell, Philip H.

AU - Lee, Yeaw Chu

AU - Thompson, Harvey M.

PY - 2011

Y1 - 2011

N2 - Alternative lubrication and depth-averaged formulations of the unsteady Navier-Stokes equations are used to explore the problem of gravity-driven inertial thin film flow on substrates containing topography that is either fully submerged or protrudes through the film. The resulting discrete form of the equation sets are solved using a multigrid strategy incorporating automatic adaptive time-stepping, enabling accurate mesh independent solutions to be generated very efficiently. Two benchmark test problems are solved revealing the extent of the free surface disturbance that ensues, together with the effect of inertia on the same.

AB - Alternative lubrication and depth-averaged formulations of the unsteady Navier-Stokes equations are used to explore the problem of gravity-driven inertial thin film flow on substrates containing topography that is either fully submerged or protrudes through the film. The resulting discrete form of the equation sets are solved using a multigrid strategy incorporating automatic adaptive time-stepping, enabling accurate mesh independent solutions to be generated very efficiently. Two benchmark test problems are solved revealing the extent of the free surface disturbance that ensues, together with the effect of inertia on the same.

KW - LIQUID-FILMS

U2 - 10.1007/978-3-642-17884-9_105

DO - 10.1007/978-3-642-17884-9_105

M3 - Conference contribution

SN - 978-3-642-17883-2

SP - 833

EP - 838

BT - COMPUTATIONAL FLUID DYNAMICS 2010

A2 - Kuzmin, A

PB - Springer

CY - BERLIN

T2 - 6th International Conference on Computational Fluid Dynamics

Y2 - 12 July 2010 through 16 July 2010

ER -

Predicting Three-Dimensional Inertial Thin Film Flow over Micro-Scale Topography

Abstract

Conference

Keywords

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