Calculation of the mean velocity profile for strongly turbulent Taylor–Couette flow at arbitrary radius ratios
Pieter Berghout, Roberto Verzicco, Richard JAM Stevens, Detlef Lohse, Daniel Chung
Journal of Fluid Mechanics | Cambridge University Press (CUP) | Published : 2020
Taylor–Couette (TC) flow is the shear-driven flow between two coaxial independently rotating cylinders. In recent years, high-fidelity simulations and experiments revealed the shape of the streamwise and angular velocity profiles up to very high Reynolds numbers. However, due to curvature effects, so far no theory has been able to correctly describe the turbulent streamwise velocity profile for a given radius ratio, as the classical Prandtl–von Kármán logarithmic law for turbulent boundary layers over a flat surface at most fits in a limited spatial region. Here, we address this deficiency by applying the idea of a Monin–Obukhov curvature length to turbulent TC flow. This length separates th..View full abstract
Awarded by Deutsche Forschungsgemeinschaft
Awarded by European Research Council
This paper is devoted to Professor S. Grossmann on occasion of his 90th birthday. We congratulate him and thank him for all we learned from him on turbulence, physics, science, and beyond. We are very grateful to S. Huisman, R. Ostilla-Monico and R. van der Veen for providing us their data. We further thank I. Marusic, D. Krug, N. Hutchins, M. Bruning, and D. Pullin for insightful discussions. This project is funded by the Priority Programme SPP 1881 Turbulent Superstructures of the Deutsche Forschungsgemeinschaft. R.S. acknowledges financial support from the European Research Council through starting grant no. 804283 UltimateRB.