Angular momentum transport and flow organization in Taylor-Couette flow at radius ratio of η=0.357

Abstract

We experimentally and numerically investigate the angular momentum transport in turbulent Taylor-Couette flow for independently rotating cylinders at a small radius ratio of η = 0.357 for various shear Reynolds numbers (4.5 × 10 3 ≤ Re S ≤ 1.2 × 10 5 ) and ratios of angular velocitiesmomentum transport in terms of the pseudo-Nusselt number N u ω does not show a pure power law scaling with the forcing Re S and features non-constant effective scaling between 1.3 × 10 4 ≤ Re S ≤ 4 × 10 4 . This transition lies in the classical turbulent regime and is caused by the curvature-dependent limited capacity of the outer cylinder to emit small-scale plumes at a sufficient rate to equalize the angular momentum in the bulk. For counter-rotating cylinders, a maximum in the torque occurs at µ max = −0.123 ± 0.030. The origin of this maximum can be attributed to a strengthening of turbulent Taylor vortices, which is revealed by the flow visualization technique. In addition, different flow states at µ max concerning the wavelength of the large-scale vortices have been detected. The experimental and numerical results for the Nusselt number show a very good agreement.

Flow structures and heat transport in Taylor–Couette systems with axial temperature gradient

“…In the following analysis, we decompose the flow field into mean TV flow (TVF) and the fluctuations (Bilson & Bremhorst 2007; Froitzheim et al. 2019), i.e. and , in order to identify their individual contributions to the global heat transport.…”

“…2016; Froitzheim et al. 2019). However, the axial transport of heat and mass has rarely been discussed in turbulent TC systems, and the performance of TVs on axial turbulent transport is still unclear.…”

“…Owing to their simple configurations but abundant connotations, RB and TC systems have been significantly investigated in the last few decades, including early experimental (Taylor 1923; Andereck, Liu & Swinney 1986; Koschmieder 1993) and theoretical works (Chandrasekhar 1981; Grossmann & Lohse 2000; Eckhardt, Grossmann & Lohse 2007) and recent direct numerical simulations (Froitzheim et al. 2019; Blass et al. 2020), as reviewed by Ahlers, Grossmann & Lohse (2009), Lohse & Xia (2010), Chillà & Schumacher (2012), Fardin, Perge & Taberlet (2014) and Grossmann, Lohse & Sun (2016).…”

Calculation of the mean velocity profile for strongly turbulent Taylor–Couette flow at arbitrary radius ratios

“…Symbols are the values of obtained by DNS or experiments; (blue triangle) Froitzheim et al. (2019), (crosses) Ostilla-Mónico et al. (2014 b ), (open circles) van der Veen et al.…”

Wall-bounded turbulence with streamwise curvature

“…Note that equation (6.1) is equivalent of [15] (4.5-4.7) with differences of O(Re τ /Re i ), and with a different constant. Upon closely following [15] including Re τ << Re i , equation (6.3) results, [92], η = 0.500 (crosses) [93], (open circles) [76] and (triangle) [55], η = 0.716 (squares) [47], (crosses) [93] and (diamonds) [94], η = 0.909 (triangles) [55]. where W (Z) is the principal branch of the Lambert W function.…”