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

Tal Hocherman, Philip Rosenau

Research output: Contribution to journalArticlepeer-review

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

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