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Observations on the Role of Vorticity in the Stability Theory of Wall Bounded Flows
Author(s) -
Herron Isom H.
Publication year - 1991
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1991853269
Subject(s) - hagen–poiseuille equation , vorticity , couette flow , plane (geometry) , flow (mathematics) , vorticity equation , bounded function , mathematics , vortex , mechanics , mathematical analysis , suction , classical mechanics , physics , geometry , thermodynamics
The linearized equations for the evolution of disturbances to four wall bounded flows are treated. The flows are plane Couette flow and plane Poiseuille flow, Hagen‐Poiseuille pipe flow, and the asymptotic suction profile. By looking at the vorticity it is proved simply that plane Couette flow and Hagen‐Poiseuille flow are linearly stable. Further study is made of the structure of the disturbance equation by the introduction of a special vorticity adjoint.