The evolution of an advancing fluid front formed by a gravity-driven thin film flowing down a planar substrate is considered, with particular reference to the presence of Marangoni stresses and/or sur- face topography. The system is modelled using lubrication theory and solved via an efficient, adaptive multigrid method that incorporates automatic, error-controlled grid refinement/derefinement and time stepping. The detailed three dimensional numerical results obtained reveal that, for the problems inves- tigated, while both of the above features affect the merger of rivulets by either delaying or promoting the same, topography influences the direction of growth.
|Number of pages||6|
|Journal||Chemical Engineering and Processing: Process Intensification|
|Early online date||20 Jul 2012|
|Publication status||Published - Jun 2013|