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.
| Original language | English |
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| Article number | 026306 |
| Number of pages | 16 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 75 |
| Issue number | 2 |
| Early online date | 8 Feb 2007 |
| DOIs | |
| Publication status | Published - Feb 2007 |