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The Modulation Equations for the Asymptotic Suction Velocity Profile and the Ekman Boundary Layer
Author(s) -
Dwarka Pankaj R.,
Herron Isom H.
Publication year - 1996
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/sapm1996962163
Subject(s) - boundary layer , suction , ekman layer , flow (mathematics) , blasius boundary layer , mechanics , mathematical analysis , boundary (topology) , mathematics , eigenvalues and eigenvectors , ekman number , physics , boundary layer thickness , classical mechanics , thermodynamics , quantum mechanics
In this article two types of flows are considered, the asymptotic suction velocity profile, which is a nearly parallel flow, and the Ekman boundary layer, which is a nonparallel flow. The modified Orr‐Sommerfeld equation for the asymptotic suction velocity profile, which is the linearized stability equation for this flow, is analyzed and it is shown to have finitely many eigenvalues. In addition, the Ekman boundary layer is considered and the modulation equation for this nonparallel flow is derived for the first time.