Abstract
Abstract
Highlights
Taylor–Couette (TC) flow, the flow in between two coaxial, independently rotating cylinders, has successfully been used as a model for shear flows to study instabilities, flow patterns, nonlinear dynamics and transitions and turbulence (Taylor 1923; Chandrasekhar 1981; Andereck, Liu & Swinney 1986; Lewis & Swinney 1999; van Gils et al 2011; Paoletti & Lathrop 2011; Fardin, Perge & Taberlet 2014; Ostilla-Mónico et al 2014a; Grossmann, Lohse & Sun 2016)
We probe the angular momentum transport with both experiments and direct numerical simulations for η = 0.91 as a function of the driving which we quantify with Ta and
The range of shear driving we explore spans several decades of Ta, namely O(107)–O(1010), which includes the transition to the ultimate regime at Ta ≈ Tac = 3 × 108
Summary
Taylor–Couette (TC) flow, the flow in between two coaxial, independently rotating cylinders, has successfully been used as a model for shear flows to study instabilities, flow patterns, nonlinear dynamics and transitions and turbulence (Taylor 1923; Chandrasekhar 1981; Andereck, Liu & Swinney 1986; Lewis & Swinney 1999; van Gils et al 2011; Paoletti & Lathrop 2011; Fardin, Perge & Taberlet 2014; Ostilla-Mónico et al 2014a; Grossmann, Lohse & Sun 2016). Using the same argument, Brauckmann & Eckhardt (2017) predicted that the shear in the boundary layers, and their transition to turbulence, depends on the absolute shear driving, and on the rotation ratio, which was corroborated by experiments In this way, they explained the appearance of the narrow peak as an enhancement of angular momentum transport in certain regions of parameter space caused by the ‘early’ transition of the BLs to turbulence.
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