dc.contributor.author Cheng, W. dc.contributor.author Pullin, D. I. dc.contributor.author Samtaney, Ravi dc.date.accessioned 2020-03-25T10:08:58Z dc.date.available 2020-03-25T10:08:58Z dc.date.issued 2020-03-12 dc.identifier.citation Cheng, W., Pullin, D. I., & Samtaney, R. (2020). Large-eddy simulation and modelling of Taylor–Couette flow. Journal of Fluid Mechanics, 890. doi:10.1017/jfm.2020.101 dc.identifier.doi 10.1017/jfm.2020.101 dc.identifier.uri http://hdl.handle.net/10754/662296 dc.description.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 $\unicode[STIX]{x1D6FA}_{i}$ and the outer cylinder stationary. With $R_{i},R_{o}$ the inner and outer radii respectively, the radius ratio is $\unicode[STIX]{x1D702}=0.909$ . 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 $Re_{i}=10^{5}{-}10^{6}$ where $Re_{i}=\unicode[STIX]{x1D6FA}_{i}R_{i}d/\unicode[STIX]{x1D708}$ and $d=R_{o}-R_{i}$ 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 $\unicode[STIX]{x1D702}$ . 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 $Nu\sim Ta^{1/2}$ . dc.publisher Cambridge University Press (CUP) dc.relation.url https://www.cambridge.org/core/product/identifier/S0022112020001019/type/journal_article dc.rights Archived with thanks to Journal of Fluid Mechanics dc.title Large-eddy simulation and modelling of Taylor-Couette flow dc.type Article dc.contributor.department Fluid and Plasma Simulation Group (FPS) dc.contributor.department Mechanical Engineering Program dc.contributor.department Physical Science and Engineering (PSE) Division dc.identifier.journal Journal of Fluid Mechanics dc.rights.embargodate 2020-09-12 dc.eprint.version Post-print dc.contributor.institution Graduate Aerospace Laboratories, California Institute of Technology, CA 91125, USA kaust.person Cheng, W. kaust.person Samtaney, Ravi dc.date.published-online 2020-03-12 dc.date.published-print 2020-05-10
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