Influence of global rotation and Reynolds number on the large-scale features of a turbulent Taylor–Couette flow

Abstract

is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. We experimentally study the turbulent flow between two coaxial and independently rotating cylinders. We determined the scaling of the torque with Reynolds numbers at various angular velocity ratios ͑Rotation numbers͒ and the behavior of the wall shear stress when varying the Rotation number at high Reynolds numbers. We compare the curves with particle image velocimetry analysis of the mean flow and show the peculiar role of perfect counter-rotation for the emergence of organized large scale structures in the mean part of this very turbulent flow that appear in a smooth and continuous way: the transition resembles a supercritical bifurcation of the secondary mean flow.

Experimental investigation of torque hysteresis behaviour of Taylor–Couette Flow

“…In addition, for the turbulent cases, it can be seen that the hysteresis does not occur around the peak torque values, which was found to be the case in the study of Huisman et al (2014) (their figure 3a). This may be explained by the different radius ratio (η = 0.716 in their experiment, while η = 0.917 for the present data), which can cause some discrepancies in Taylor-Couette flow (Ravelet et al 2010;Brauckmann & Eckhardt 2013b;Ostilla-Mónico et al 2014a). Moreover, the torque in our Taylor-Couette system follows the same behaviour without any jump between the states, in contrast to the results of Huisman et al (2014).…”

“…(ε mean ∼ 10 −2 T), for all the cases considered. Further information about the set-up and accuracy of the measurements (torque and stereoscopic & tomographic PIV) conducted in the same facility can be found in the studies of Ravelet et al (2010), Tokgoz (2014), Greidanus et al (2015).…”

“…However, recent experimental and numerical studies (e.g. Bilson & Bremhorst 2007;Dong 2008;Ravelet, Delfos & Westerweel 2010;Tokgoz, Elsinga & Westerweel 2011;Huisman et al 2014;Ostilla-Mónico et al 2014a) showed the persistence of large-scale structures even at much higher Reynolds numbers.…”

Scaling of torque in turbulent Taylor-Couette flow with background rotation

“…This torque-scaling is discussed in much detail in [4], with many references. In [6,7], we summarise this briefly, and show that we retrieve in our sysstem up to Re S = 2.10 5 very similar torque scaling exponents for Ro = Ro i as in [5].…”

“…In [6,7] we show Stereoscopic-PIV measurements in the radial-axial plane in the TC-gap. In these measurements, at an intermediate Re S investigated here, i.e.…”