It is rigorously proved that the most critical small disturbances to a stratified viscous plane parallel shear flow between rigid horizontal boundaries must be either two-dimensional (2-D) transverse or longitudinal modes, and that there are no marginally stable flows for which truly 3-D disturbances are neutrally stable. This allows the linear stability analysis to be restricted to (two classes of) 2-D disturbances.
|Original language||English (US)|
|Number of pages||3|
|Journal||Physics of fluids|
|State||Published - Dec 1 1985|
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