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

Journal Article · Sun Nov 15 00:00:00 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]

---

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), Vol. 46:10; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

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