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Buoyancy‐driven instability in a vertical cylinder: Binary fluids with Soret effect. Part I: General theory and stationary stability results
Author(s) -
Hardin G. R.,
Sani R. L.,
Henry D.,
Roux B.
Publication year - 1990
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.1650100106
Subject(s) - buoyancy , instability , cylinder , thermophoresis , mechanics , radius , binary number , galerkin method , flow (mathematics) , thermodynamics , linear stability , stability (learning theory) , physics , mathematics , classical mechanics , geometry , heat transfer , finite element method , nanofluid , computer security , arithmetic , machine learning , computer science
Buoyancy‐driven instability of a monocomponent or binary fluid which 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 the resulting linear stability problem is solved using Galerkin's technique. The analysis considers various types of fluid mixtures, ranging from gases to liquid metals, in cylinders with a variety of radius‐to‐height ratios. The flow structure is found to depend strongly on both the cylinder aspect ratio and the magnitude of the Soret effect. Comparisons are made with experiments and other theories, and the predicted stability limits are shown to agree closely with observations.