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 | |
| Publication status | Published - 1988 |
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ASJC Scopus subject areas
- Mechanical Engineering
- Statistical and Nonlinear Physics
Cite this
Modulational instability of plane waves in a two-dimensional jet and wake. / Fujimura, Kaoru; Yanase, Shinichiro; Mizushima, Jiro.
In: Fluid Dynamics Research, Vol. 4, No. 1, 1988, p. 15-24.Research output: Contribution to journal › Article
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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
Y1 - 1988
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
VL - 4
SP - 15
EP - 24
JO - Fluid Dynamics Research
JF - Fluid Dynamics Research
SN - 0169-5983
IS - 1
ER -