The Weakly Nonlinear Stability of the Two-Dimensional Jet and Wake

Shinichiro Yanase, Kaoru Fujimura, Jiro Mizushima, Kanefusa Gotoh

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

The nonlinear stability of the two-dimensional jet and wake in slightly supercritical states is investigated by making use of the weakly nonlinear theory. Accurate values of the coefficients in the Stewartson-Stuart equation are calculated numerically. Both flows are shown to have supercritical equilibrium states. The side-band instability of the equilibrium solutions in the form of plane wave is examined, and they are shown to be unstable. But in numerical solution simulating an access to the equilibrium from smoothly localized initial values, any instability and chaotic behaviour have not been detected.

Original languageEnglish
Pages (from-to)106-114
Number of pages9
Journaljournal of the physical society of japan
Volume55
Issue number1
DOIs
Publication statusPublished - Jan 1986

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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