Novel cross-roll state in a cylindrical convection cell with thermally conducting sidewalls

Journal Article · Sun Nov 15 04:00:00 EST 1992 · Physical Review A. General Physics; (United States)

DOI:https://doi.org/10.1103/PhysRevA.46.R6143· OSTI ID:7228734

Anderson, K E; Shattuck, M D; Behringer, R P ^[1]

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1. Department of Physics and Center for Nonlinear and Complex Systems, Duke University, Durham, North Carolina 27706 (United States)

We describe a new traveling-wave cross-roll state in a water-filled cylindrical convection cell with thermally conducting sidewalls ({Gamma}={ital D}/2{ital d}=4.94). Just beyond convective onset, four axisymmetric toroidal rolls form. For {epsilon}=({ital R}{minus}{ital R}{sub {ital c}})/{ital R}{sub {ital c}}{gt}0.15 this pattern loses stability to either a nonaxisymmetric state with rolls normal to the sidewall, or (by skipping from onset to a value of 0.3{lt}{epsilon}{lt}1.3) a pattern consisting of three toroidal rolls with cross rolls in the outermost toroidal roll. The cross rolls are time dependent and typically form modulated traveling waves.

• DOE Contract Number: FG05-88ER45371
• OSTI ID: 7228734
• Journal Information: Physical Review A. General Physics; (United States), Journal Name: Physical Review A. General Physics; (United States) Vol. 46:10; ISSN 1050-2947; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
360606* -- Other Materials-- Physical Properties-- (1992-)
BOUNDARY CONDITIONS
CONVECTION
ENERGY TRANSFER
HEAT TRANSFER
HYDROGEN COMPOUNDS
MASS TRANSFER
OXYGEN COMPOUNDS
PATTERN RECOGNITION
PHYSICAL PROPERTIES
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
TRAVELLING WAVES
VORTICES
WALLS
WATER