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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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2023

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2023.481