Annular flows can keep unstable films from breakup: Nonlinear saturation of capillary instability

A. L. Frenkel, A. J. Babchin, B. G. Levich, T. Shlang, G. I. Sivashinsky

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a fluid film on the inner walls of a capillary. The film surrounds another fluid in the core. It is known that the capillary instability, driven by the surface tension at the fluid-fluid interface, breaks up the film if it is primarily stagnant. In contrast, as we show, a primary flow, in a certain range of parameters, can keep the linearly unstable film from rupturing. This is a result of the nonlinear low-level saturation of the interface instability. This saturation is due to the coordinated action of the destabilizing factors, the shear of flow, and the surface tension at the interface. The resulting state of the interface is, in general, chaotic oscillations, with their amplitude being much less than the unperturbed film thickness. The approximate equation of interface evolution is derived. The saturation mechanism is explained. The characteristic scales of the developed oscillations are found, and the parameter range of the theory applicability is discussed.

Original languageEnglish
Pages (from-to)225-233
Number of pages9
JournalJournal of Colloid and Interface Science
Volume115
Issue number1
DOIs
StatePublished - Jan 1987

Fingerprint

Dive into the research topics of 'Annular flows can keep unstable films from breakup: Nonlinear saturation of capillary instability'. Together they form a unique fingerprint.

Cite this