Thin films flowing down inverted substrates: two dimensional flow

Te-sheng Lin; Lou Kondic

doi:10.1063/1.3428753

paper

Thin films flowing down inverted substrates: two dimensional flow

arXiv:0912.3306 · doi:10.1063/1.3428753

Abstract

We consider free surface instabilities of films flowing on inverted substrates within the framework of lubrication approximation. We allow for the presence of fronts and related contact lines, and explore the role which they play in instability development. It is found that a contact line, modeled by a commonly used precursor film model, leads to free surface instabilities without any additional natural or excited perturbations. A single parameter D=(3Ca)^{1/3}\cotα $, w h er e$ Ca $i s t h ec a p i l l a r y n u mb er an d$ α $i s t h e in c l ina t i o nan g l e, i s i d e n t i f i e d a s a g o v er nin g p a r am e t er in t h e p r o b l e m . T hi s p a r am e t er ma y b e in t er p r e t e d t or e f l ec tt h eco mbin e d e f f ec t o f in c l ina t i o nan g l e, f i l m t hi c k n ess, R ey n o l d s n u mb er an d t h e f l u i df l ux . V a r ia t i o n o f$ D$ leads to change of the wave-like properties of the instabilities, allowing us to observe traveling wave behavior, mixed waves, and the waves resembling solitary ones.

Thin films flowing down inverted substrates: two dimensional flow

Abstract

Cited by in corpus (9)