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  • Articles: DFG German National Licenses  (3)
  • 1990-1994  (3)
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  • Articles: DFG German National Licenses  (3)
Material
Years
Year
  • 1
    Electronic Resource
    Electronic Resource
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 625-627 
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Three-dimensional convection in a rotating fluid layer is studied near the onset of the steady-state instability using symmetric bifurcation theory. The problem is formulated as a bifurcation problem on a doubly periodic square lattice. Symmetry considerations determine the form of the ordinary differential equations governing the evolution of the marginally stable modes. From the symmetry analysis the relative stability of rolls and squares can be determined. Stable solutions exist only if both patterns bifurcate supercritically, and the one with the largest Nusselt number is the stable one. The theory is illustrated by explicit calculations for idealized boundary conditions, and the bifurcation diagrams given for all values of the Taylor and Prandtl numbers.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 693 (1993), S. 0 
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Flow, turbulence and combustion 51 (1993), S. 61-65 
    ISSN: 1573-1987
    Keywords: rotating convection ; potential methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract This paper is devoted to analyzing numerically experimental observations of azimuthally travelling waves that appear in rotating convection in a circular container at intermediate Prandtl numbers. The instability is a Hopf bifurcation that gives rise to a pattern precessing generally counter to the rotation direction. Two types of modes can be differentiated, the fast modes with relatively high precession velocity whose amplitude peaks near the sidewall, and the slow modes whose amplitude peaks near the center. Results are presented for Prandtl number 6.8 and aspect ratio Γ ≡d/h equal to 2.5 as a function of the rotation rate. For rigid insulating sidewalls, and rigid thermally conducting top and bottom lids, the results agree well with those mesured experimentally.
    Type of Medium: Electronic Resource
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