Issue
EPL
Volume 84, Number 6, December 2008
Article Number 64002
Number of page(s) 4
Section Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics
DOI http://dx.doi.org/10.1209/0295-5075/84/64002
Published online 12 January 2009
EPL, 84 (2008) 64002
DOI: 10.1209/0295-5075/84/64002

Spontaneous channeling of solitary pulses in heated-film flows

B. Scheid1, S. Kalliadasis2, C. Ruyer-Quil3 and P. Colinet1

1   Laboratoir TIPs, Université Libre de Bruxelles - CP 165/67, 1050, Bruxelles, Belgium, EU
2   Chemical Engineering, Imperial College London - SW7 2AZ, London, UK, EU
3   Laboratoire FAST/UMR-CNRS 7608 - Campus Universitaire, 91405, Paris, France, EU

bscheid@ulb.ac.be

received 17 September 2008; accepted in final form 14 November 2008; published December 2008
published online 12 January 2009

Abstract
We investigate the dynamics of a liquid film flowing down a uniformly heated wall. We use a four-field weighted-average model for the film thickness, the surface temperature and the two-dimensional flow rate vector. Time-dependent simulations are rationalized in a phase diagram. For small Reynolds numbers we observe regularly spaced rivulets aligned with the flow that prevent the development of hydrodynamic waves while for large Reynolds numbers, the evolution is similar to that observed in the isothermal case, i.e. wave-dominated. The transition between the two regimes is characterized by an intricate-pattern formation dynamics, including regimes of quasi-2D solitary pulses riding the crests of rivulets.

PACS
47.15.gm - Thin film flows.
47.54.-r - Pattern selection; pattern formation.
47.55.dm - Thermocapillary effects.

© EPLA 2008