On long-wave dynamics in countercurrent two-layer flows

B. S. Tilley*, Stephen H Davis, S. G. Bankoff

*Corresponding author for this work

Research output: Contribution to conferencePaper

Abstract

A strongly nonlinear system governing the evolution of the interface and pressure field is derived. A weakly nonlinear analysis of this system yields generalized Kuramoto-Sivashinsky systems. For spatially periodic disturbances within the plane of the flow, hysteretic transitions are found between smaller-amplitude and larger-amplitude travelling waves. Examples of spatially periodic patterns are presented when three-dimensional disturbances are allowed.

Original languageEnglish (US)
Pages316-338
Number of pages23
StatePublished - Jan 1 1996
EventProceedings of the 1995 AMS-IMS-SIAM Joint Summer Research Conference - Seattle, WA, USA
Duration: Jul 23 1995Jul 27 1995

Other

OtherProceedings of the 1995 AMS-IMS-SIAM Joint Summer Research Conference
CitySeattle, WA, USA
Period7/23/957/27/95

ASJC Scopus subject areas

  • Mathematics(all)

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    Tilley, B. S., Davis, S. H., & Bankoff, S. G. (1996). On long-wave dynamics in countercurrent two-layer flows. 316-338. Paper presented at Proceedings of the 1995 AMS-IMS-SIAM Joint Summer Research Conference, Seattle, WA, USA, .