Necessary and Sufficient Condition for the Stability of Plane Parallel Inviscid Flow

196465 citationsJournal Article

Authors

M. N. Rosenbluth · General Dynamics (United States)

Albert Simon · General Dynamics (United States)

Abstract

Plane 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′ &gt; 0 where w(x) is the velocity profile between the plates. A general sufficient condition for instability is also obtained.

Topics & Keywords

Navier-Stokes equation solutions Stability and Controllability of Differential Equations Computational Fluid Dynamics and Aerodynamics

Publication Details

Published in: The Physics of Fluids

Volume 7, Issue 4, pp. 557-558

DOI: 10.1063/1.1711237

Field-Weighted Citation Impact: 2.32

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Necessary and Sufficient Condition for the Stability of Plane Parallel Inviscid Flow

Authors

Abstract

Topics & Keywords

Publication Details