Journal article

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

Abstract

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..

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University of Melbourne Researchers

Grants

Awarded by Deutsche Forschungsgemeinschaft


Awarded by European Research Council


Funding Acknowledgements

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.