dc.contributor.author Berghout, P dc.contributor.author Verzicco, R dc.contributor.author Stevens, RJAM dc.contributor.author Lohse, D dc.contributor.author Chung, D dc.date.accessioned 2020-11-26T23:30:32Z dc.date.available 2020-11-26T23:30:32Z dc.date.issued 2020-12-25 dc.identifier.citation Berghout, P., Verzicco, R., Stevens, R. J. A. M., Lohse, D. & Chung, D. (2020). Calculation of the mean velocity profile for strongly turbulent Taylor–Couette flow at arbitrary radius ratios. Journal of Fluid Mechanics, 905, https://doi.org/10.1017/jfm.2020.739. dc.identifier.issn 0022-1120 dc.identifier.uri http://hdl.handle.net/11343/252250 dc.description.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 the flow regions where the production of turbulent kinetic energy is governed by pure shear from that where it acts in combination with the curvature of the streamlines. We demonstrate that for all Reynolds numbers and radius ratios, the mean streamwise and angular velocity profiles collapse according to this separation. We then develop the functional form of the velocity profile. Finally, using the newly developed angular velocity profiles, we show that these lead to an alternative constant in the model proposed by Cheng et al. (J. Fluid Mech., vol. 890, 2020, A17) for the dependence of the torque on the Reynolds number, or, in other words, of the generalized Nusselt number (i.e. the dimensionless angular velocity transport) on the Taylor number. dc.language en dc.publisher Cambridge University Press (CUP) dc.rights.uri https://creativecommons.org/licenses/by/4.0 dc.title Calculation of the mean velocity profile for strongly turbulent Taylor–Couette flow at arbitrary radius ratios dc.type Journal Article dc.identifier.doi 10.1017/jfm.2020.739 melbourne.affiliation.department Mechanical Engineering melbourne.source.title Journal of Fluid Mechanics melbourne.source.volume 905 dc.rights.license CC BY melbourne.elementsid 1477912 melbourne.contributor.author Chung, Daniel dc.identifier.eissn 1469-7645 melbourne.accessrights Open Access
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