Linear stability and transient growth in driven contact lines
作者:
Andrea L. Bertozzi,
Michael P. Brenner,
期刊:
Physics of Fluids
(AIP Available online 1997)
卷期:
Volume 9,
issue 3
页码: 530-539
ISSN:1070-6631
年代: 1997
DOI:10.1063/1.869217
出版商: AIP
数据来源: AIP
摘要:
Fluid flowing down an inclined plane commonly exhibits a fingering instability in which the contact line corrugates. We show that below a critical inclination angle the base state before the instability is linearly stable. Several recent experiments explore inclination angles below this critical angle, yet all clearly show the fingering instability. We explain this paradox by showing that regardless of the long time linear stability of the front, microscopic scale perturbations at the contact line grow on a transient time scale to a size comparable with the macroscopic structure of the front. This amplification is sufficient to excite nonlinearities and thus initiate finger formation. The amplification is a result of the well-known singular dependence of the macroscopic profiles on the microscopic length scale near the contact line. Implications for other types of forced contact lines are discussed. ©1997 American Institute of Physics.
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