On high-Taylor-number Taylor vortices
نویسندگان
چکیده
Axisymmetric steady solutions of Taylor–Couette flow at high Taylor numbers are studied numerically and theoretically. As the axial period solution shortens from approximately one gap length, Nusselt number goes through two peaks before returning to laminar flow. In this process, asymptotic nature changes in four stages, as revealed by analysis. When aspect ratio roll cell is unity, has proportional quarter power number, captures quantitatively characteristics classical turbulence regime. By shortening can even reach experimental value around onset ultimate However, higher numbers, theoretical predictions eventually underestimate values. An important consequence analyses that mean angular momentum should become uniform core region unless wavelength too short. The scaling laws deduced for be carried over Rayleigh–Bénard convection.
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1 Turbulence Numerics Team /NCAR, P.O. Box 3000, Boulder, Colorado 80307-3000, U.S.A. 2 Earth and Sun Systems Laboratory /NCAR, P.O. Box 3000, Boulder, Colorado 80307-3000, U.S.A. 3 Department of Applied Physics and Applied Mathematics, Columbia University, 500 W. 120th Street, New York NY 10027, U.S.A. 4 École Normale Supérieure, 24 rue Lhomond, 75005 Paris, France 5 Departamento de F́ısica, Fa...
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ژورنال
عنوان ژورنال: Journal of Fluid Mechanics
سال: 2023
ISSN: ['0022-1120', '1469-7645']
DOI: https://doi.org/10.1017/jfm.2023.481