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Buoyancy‐driven instability in a vertical cylinder: Binary fluids with Soret effect. Part II: Weakly non‐linear solutions
Author(s) -
Hardin G. R.,
Sani R. L.
Publication year - 1993
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650170903
Subject(s) - buoyancy , instability , cylinder , thermophoresis , mechanics , binary number , linear stability , galerkin method , flow (mathematics) , heat transfer , thermodynamics , mathematics , physics , geometry , nanofluid , finite element method , arithmetic
The buoyancy‐driven instability of a monocomponent or binary fluid that is completely contained in a vertical circular cylinder is investigated, including the influence of the Soret effect for the binary mixture. The Boussinesq approximation is used, and weakly‐non‐linear solutions are generated via Galerkin's technique using an expansion in the eigensolutions of the associated linear stability problem. Various types of fluid mixtures and cylindrical domains are considered. Flow structure and associated heat transfer are computed and experimental observations are cited when possible.