Free-surface thin-film flows over uniformly heated topography

Free-surface thin-film flows over uniformly heated topography

The long-wave (lubrication) approximation governing the evolution of a thin film over a uniformly heated topographical substrate is solved numerically. We study the initial-value problem for a variety of governing dimensionless parameters and topographical substrates. We demonstrate that the dynamic...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2007-02, Vol.75 (2 Pt 2), p.026306-026306, Article 026306
Hauptverfasser: Saprykin, Sergey, Trevelyan, Philip M J, Koopmans, Rudy J, Kalliadasis, Serafim
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container_issue 2 Pt 2
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container_title Physical review. E, Statistical, nonlinear, and soft matter physics
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creator Saprykin, Sergey
Trevelyan, Philip M J
Koopmans, Rudy J
Kalliadasis, Serafim
description The long-wave (lubrication) approximation governing the evolution of a thin film over a uniformly heated topographical substrate is solved numerically. We study the initial-value problem for a variety of governing dimensionless parameters and topographical substrates. We demonstrate that the dynamics is characterized by a slow relaxation process with continuous coarsening of drops up to a large time where coarsening is terminated and the interface organizes into a series of drops each of which is located in a trough in topography.
doi_str_mv 10.1103/PhysRevE.75.026306
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title Free-surface thin-film flows over uniformly heated topography
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