On KS-type equations describing the evolution and rupture of a liquid interface

Tal Hocherman*, Philip Rosenau

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

Study of core annular flow of two liquids of different viscosity generates two new amplitude equations of the Kuramoto-Sivashinsky (KS) type. In the first an integral operator of dispersive nature appends the KS. It modifies the bifurcation structure of the KS and delays parametrically the appearances of a specific pattern. The second modification, specific to cylindrical geometry, is due to a sensitive part in the curvature dispensed within a conventional expansion. When retained, it may cause a linearly unstable interface to rupture and to form, experimentally observed, bubbles.

Original languageEnglish
Pages (from-to)113-125
Number of pages13
JournalPhysica D: Nonlinear Phenomena
Volume67
Issue number1-3
DOIs
StatePublished - 15 Aug 1993
Externally publishedYes

Funding

FundersFunder number
DARPA-AFOSRF49620-89-c-0087
Air Force Office of Scientific ResearchF49620-92-j-0054
University of Arizona

    Fingerprint

    Dive into the research topics of 'On KS-type equations describing the evolution and rupture of a liquid interface'. Together they form a unique fingerprint.

    Cite this