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 - Jul 1988 |
ASJC Scopus subject areas
- Mechanical Engineering
- Physics and Astronomy(all)
- Fluid Flow and Transfer Processes
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Fujimura, K., Yanase, S., & Mizushima, J. (1988). Modulational instability of plane waves in a two-dimensional jet and wake. Fluid Dynamics Research, 4(1), 15-24. https://doi.org/10.1016/0169-5983(88)90011-1