Three‐dimensional linear instability of parallel shear flows
作者:
Michael Magen,
Anthony T. Patera,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1986)
卷期:
Volume 29,
issue 2
页码: 364-367
ISSN:0031-9171
年代: 1986
DOI:10.1063/1.865720
出版商: AIP
数据来源: AIP
摘要:
The three‐dimensional linear instability of parallel shear flows is investigated through simple geometrical constructions based on the classical Squire transformation. It is shown that if a profile is unstable for a finite Reynolds number and some value of (total) horizontal wavenumber, this profile is also unstable for all larger Reynolds numbers and the same wavenumber. In particular, the direction of the unstable mode tends toward the perpendicular as the Reynolds number increases, thus providing the viscous/shear balance required for resistive instability. The example of plane Poiseuille flow is discussed in detail, and the results compared with classical viscous and inviscid stability criteria.
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