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Stability of the Ekman Layer in a Mixture
Author(s) -
Greenspan H. P.
Publication year - 1989
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/sapm198981121
Subject(s) - ekman layer , ekman number , infinitesimal , mechanics , constant (computer programming) , reynolds number , mathematics , stability (learning theory) , physics , zero (linguistics) , mathematical analysis , classical mechanics , thermodynamics , boundary layer , computer science , convection , machine learning , linguistics , philosophy , turbulence , programming language
The mixture Ekman layer is shown to be unstable to infinitesimal perturbations when the ambient volume‐fraction distribution is not constant. An approximate theory indicates that the minimum critical Reynolds number is zero.