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Large-eddy simulation and modelling of Taylor–Couette flow

Cheng, W. and Pullin, D. I. and Samtaney, R. (2020) Large-eddy simulation and modelling of Taylor–Couette flow. Journal of Fluid Mechanics, 890 . Art. No. A17. ISSN 0022-1120. https://resolver.caltech.edu/CaltechAUTHORS:20200423-101015762

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Abstract

Wall-resolved large-eddy simulations (LES) of the incompressible Navier–Stokes equations together with empirical modelling for turbulent Taylor–Couette (TC) flow are presented. LES were performed with the inner cylinder rotating at angular velocity Ω_i and the outer cylinder stationary. With R_i, R_₀ the inner and outer radii respectively, the radius ratio is η = 0.909 . The subgrid-scale stresses are represented using the stretched-vortex subgrid-scale model while the flow is resolved close to the wall. LES is implemented in the range Re_i = 10⁵-10⁶ where Re_i = Ω_iR_id/v and d = R₀-R_i is the cylinder gap. It is shown that the LES can capture the salient features of the flow, including the quantitative behaviour of spanwise Taylor rolls, the log variation in the inner-cylinder mean-velocity profile and the angular momentum redistribution due to the presence of Taylor rolls. A simple empirical model is developed for the turbulent, TC flow for both a stationary outer cylinder and also for co-rotating cylinders. This consists of near-wall, log-like turbulent wall layers separated by an annulus of constant angular momentum. Model results include the Nusselt number Nu (torque required to maintain the flow) and measures of the wall-layer thickness as functions of both the Taylor number Ta and η. These are compared with results from measurement, direct numerical simulation and the LES. A model extension to rough-wall turbulent flow is described. This shows an asymptotic, fully rough-wall state where the torque is independent of Re_i/Ta, and where Nu ~ Ta^(1/2).


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1017/jfm.2020.101DOIArticle
https://arxiv.org/abs/1908.06577arXivDiscussion Paper
ORCID:
AuthorORCID
Cheng, W.0000-0003-3960-4162
Samtaney, R.0000-0002-4702-6473
Alternate Title:Large-eddy simulation and modeling of Taylor-Couette flow with an outer stationary cylinder
Additional Information:© The Author(s), 2020. Published by Cambridge University Press. Received 12 August 2019; revised 18 January 2020; accepted 30 January 2020. Published online by Cambridge University Press: 12 March 2020. This work was partially supported by the KAUST baseline research funds of R.S. The Cray XC40, Shaheen, at KAUST was utilized for all the reported LES. The authors gratefully acknowledge helpful comments from B. McKeon and N. Hutchins. The authors report no conflict of interest.
Group:GALCIT
Funders:
Funding AgencyGrant Number
King Abdullah University of Science and Technology (KAUST)UNSPECIFIED
Subject Keywords:turbulence modelling, turbulence simulation
Record Number:CaltechAUTHORS:20200423-101015762
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200423-101015762
Official Citation:Cheng, W., Pullin, D., & Samtaney, R. (2020). Large-eddy simulation and modelling of Taylor–Couette flow. Journal of Fluid Mechanics, 890, A17. doi:10.1017/jfm.2020.101
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102744
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:23 Apr 2020 18:43
Last Modified:23 Apr 2020 18:43

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