Sliding Drops: Ensemble Statistics from Single Drop Bifurcations
Wilczek M., Tewes W., Engelnkemper S., Gurevich S.V., Thiele U.
Research article (journal) | Peer reviewedAbstract
Ensembles of interacting drops that slide down an inclined plate show a dramatically different coarsening behavior as compared to drops on a horizontal plate: As drops of different size slide at different velocities, frequent collisions result in fast coalescence. However, above a certain size individual sliding drops are unstable and break up into smaller drops. Therefore, the long-time dynamics of a large drop ensemble is governed by a balance of merging and splitting. We employ a long-wave film height evolution equation and determine the dynamics of the drop size distribution towards a stationary state from direct numerical simulations on large domains. The main features of the distribution are then related to the bifurcation diagram of individual drops obtained by numerical path continuation. The gained knowledge allows us to develop a Smoluchowski-type statistical model for the ensemble dynamics that well compares to full direct simulations.
Details about the publication
Authors from the University of Münster
| Engelnkemper, Sebastian | Professur für Theoretische Physik (Prof. Thiele) |
| Gurevich, Svetlana | Professur für Theoretische Physik (Prof. Thiele) Center for Soft Nanoscience (SoN) |
| Tewes, Walter | Professur für Theoretische Physik (Prof. Thiele) |
| Thiele, Uwe | Professur für Theoretische Physik (Prof. Thiele) Center for Nonlinear Science Center for Multiscale Theory and Computation (CMTC) |
| Wilczek, Markus | Professur für Theoretische Physik (Prof. Thiele) |
Promotionen, aus denen die Publikation resultiert
| Dynamics of pattern formation in interface-dominated systems Candidate: Tewes, Walter | Supervisors: Thiele, Uwe; Heuer, Andreas Period of time: until 19/07/2018 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster | |
| Nonlinear Analysis of Physicochemically Driven Dewetting – Statics and Dynamics Candidate: Engelnkemper, Sebastian | Supervisors: Thiele, Uwe Period of time: until 18/01/2018 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster | |
| Pattern Formation in Driven Thin Layers of Simple and Complex Liquids Candidate: Wilczek, Markus | Supervisors: Gurevich, Svetlana; Thiele, Uwe; Heuer, Andreas Period of time: 01/01/2013 - 10/02/2017 Doctoral examination procedure finished at: Doctoral examination procedure at University of Münster |