Dripping retardation with corrugated ceiling

doi:10.1007/s10483-018-2357-6

Abstract

Abstract:

The instabilities of a pendent viscous thin film underneath two corrugated ceilings are studied numerically and theoretically in comparison with the case of a flat wall. With the same initial interface perturbations, it is shown numerically that both the supercritical instability and the subcritical instability can be retarded by the in-phase corrugated ceilings. The lubrication approximation is used to explain the retardation effect of the corrugated ceiling on the supercritical instability of the pendant film, where the linear growth rate is revealed to be power three of the initial film thickness.

Key words: pendent film, periodic solutions, equation of neutral type, existence, uniqueness, necessary and sufficient, Rayleigh-Taylor instability (RTI), corrugated wall, surface tension

2010 MSC Number:

70K50

Dong LUO, Jianjun TAO. Dripping retardation with corrugated ceiling. Applied Mathematics and Mechanics (English Edition), 2018, 39(8): 1165-1172.

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