Necessary and Sufficient Condition for the Stability of Plane Parallel Inviscid Flow
1964; AIP Publishing; Volume: 7; Issue: 4 Linguagem: Inglês
10.1063/1.1711237
ISSN2163-4998
AutoresM. N. Rosenbluth, Albert Simon,
Tópico(s)Computational Fluid Dynamics and Aerodynamics
ResumoPlane parallel flow between rigid plates of an incompressible inviscid fluid is considered. A necessary and sufficient condition for infinitesimal stability is derived in the special case where w″ has only a single zero and w′ > 0 where w(x) is the velocity profile between the plates. A general sufficient condition for instability is also obtained.
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