Binary fluid convection in a cylinder

Journal Article · Sat Dec 31 23:00:00 EST 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.51.339· OSTI ID:6702427

Mercader, I; Net, M ^[1]; Knobloch, E ^[2]

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1. Departament de Fisica Aplicada, Universitat Politecnica de Catalunya, 08034 Barcelona (Spain)
2. Department of Physics, University of California, Berkeley, California 94720 (United States)

The onset of convection in binary fluid mixtures in a vertical cylinder is considered. Parameter values and boundary conditions relevant to experiments on [sup 3]He-[sup 4]He and water-ethanol mixtures with negative separation ratio are used. The azimuthal wave number of the first unstable mode is calculated as a function of the separation ratio, as are the critical Rayleigh numbers and oscillation frequencies. The eigenfunctions take the form of left-handed or right-handed rigidly rotating spirals. Depending on the azimuthal wave number, the spirals may be spatially extended, filling the container, or confined to its boundary. The results are compared with ongoing experiments.

• OSTI ID: 6702427
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States) Vol. 51:1; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ALCOHOLS
BINARY MIXTURES
CONFIGURATION
CONVECTION
CYLINDRICAL CONFIGURATION
DISPERSIONS
ELEMENTS
ENERGY TRANSFER
ETHANOL
FLUID FLOW
FLUIDS
GASES
HEAT TRANSFER
HELIUM
HYDROGEN COMPOUNDS
HYDROXY COMPOUNDS
MASS TRANSFER
MIXTURES
NONMETALS
ORGANIC COMPOUNDS
OSCILLATIONS
OXYGEN COMPOUNDS
RARE GASES
WATER