title: Free-surface thin-film flows over uniformly heated topography.
abstract: 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.
authors.affiliation: Department of Chemical Engineering, Imperial College London, London SW7 2AZ, United Kingdom.
authors.forename: Sergey
authors.initials: S
authors.lastname: Saprykin
authors.forename: Philip M J
authors.initials: PM
authors.lastname: Trevelyan
authors.forename: Rudy J
authors.initials: RJ
authors.lastname: Koopmans
authors.forename: Serafim
authors.initials: S
authors.lastname: Kalliadasis