Volume 84, Number 6, December 2008
|Number of page(s)||4|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||12 January 2009|
Spontaneous channeling of solitary pulses in heated-film flows
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
Corresponding author: firstname.lastname@example.org
Accepted: 14 November 2008
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
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