Modulational instability of plane waves in a two-dimensional jet and wake

Kaoru Fujimura; Shinichiro Yanase; Jiro Mizushima

doi:10.1016/0169-5983(88)90011-1

Modulational instability of plane waves in a two-dimensional jet and wake

Kaoru Fujimura, Shinichiro Yanase, Jiro Mizushima

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

The modulational instability problem is reformulated by the amplitude expansion method. A generalized version of the Stewartson-Stuart equation is derived, which is applicable to any supercritical state as long as the amplitude of the disturbance is small. The modulational instability of plane waves in a two-dimensional jet and wake is investigated on the basis of this equation, and it is found that the plane waves are stable to side-band disturbances in supercritical states except in the close neighbourhood of the critical state.

Original language	English
Pages (from-to)	15-24
Number of pages	10
Journal	Fluid Dynamics Research
Volume	4
Issue number	1
DOIs	https://doi.org/10.1016/0169-5983(88)90011-1
Publication status	Published - Jul 1988

ASJC Scopus subject areas

Mechanical Engineering
Physics and Astronomy(all)
Fluid Flow and Transfer Processes

Access to Document

10.1016/0169-5983(88)90011-1

Fingerprint Dive into the research topics of 'Modulational instability of plane waves in a two-dimensional jet and wake'. Together they form a unique fingerprint.

Cite this

@article{c64d41c8087a46ffa5306c075fc933cd,

title = "Modulational instability of plane waves in a two-dimensional jet and wake",

abstract = "The modulational instability problem is reformulated by the amplitude expansion method. A generalized version of the Stewartson-Stuart equation is derived, which is applicable to any supercritical state as long as the amplitude of the disturbance is small. The modulational instability of plane waves in a two-dimensional jet and wake is investigated on the basis of this equation, and it is found that the plane waves are stable to side-band disturbances in supercritical states except in the close neighbourhood of the critical state.",

author = "Kaoru Fujimura and Shinichiro Yanase and Jiro Mizushima",

year = "1988",

month = jul,

doi = "10.1016/0169-5983(88)90011-1",

language = "English",

volume = "4",

pages = "15--24",

journal = "Fluid Dynamics Research",

issn = "0169-5983",

publisher = "IOP Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - Modulational instability of plane waves in a two-dimensional jet and wake

AU - Fujimura, Kaoru

AU - Yanase, Shinichiro

AU - Mizushima, Jiro

PY - 1988/7

Y1 - 1988/7

N2 - The modulational instability problem is reformulated by the amplitude expansion method. A generalized version of the Stewartson-Stuart equation is derived, which is applicable to any supercritical state as long as the amplitude of the disturbance is small. The modulational instability of plane waves in a two-dimensional jet and wake is investigated on the basis of this equation, and it is found that the plane waves are stable to side-band disturbances in supercritical states except in the close neighbourhood of the critical state.

AB - The modulational instability problem is reformulated by the amplitude expansion method. A generalized version of the Stewartson-Stuart equation is derived, which is applicable to any supercritical state as long as the amplitude of the disturbance is small. The modulational instability of plane waves in a two-dimensional jet and wake is investigated on the basis of this equation, and it is found that the plane waves are stable to side-band disturbances in supercritical states except in the close neighbourhood of the critical state.

UR - http://www.scopus.com/inward/record.url?scp=0024047780&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024047780&partnerID=8YFLogxK

U2 - 10.1016/0169-5983(88)90011-1

DO - 10.1016/0169-5983(88)90011-1

M3 - Article

AN - SCOPUS:0024047780

VL - 4

SP - 15

EP - 24

JO - Fluid Dynamics Research

JF - Fluid Dynamics Research

SN - 0169-5983

IS - 1

ER -