Show simple item record

dc.contributor.authorCheng, W.
dc.contributor.authorPullin, D. I.
dc.contributor.authorSamtaney, Ravi
dc.date.accessioned2020-03-25T10:08:58Z
dc.date.available2020-03-25T10:08:58Z
dc.date.issued2020-03-12
dc.identifier.citationCheng, 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.doi10.1017/jfm.2020.101
dc.identifier.urihttp://hdl.handle.net/10754/662296
dc.description.abstractWall-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.publisherCambridge University Press (CUP)
dc.relation.urlhttps://www.cambridge.org/core/product/identifier/S0022112020001019/type/journal_article
dc.rightsArchived with thanks to Journal of Fluid Mechanics
dc.titleLarge-eddy simulation and modelling of Taylor-Couette flow
dc.typeArticle
dc.contributor.departmentFluid and Plasma Simulation Group (FPS)
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalJournal of Fluid Mechanics
dc.rights.embargodate2020-09-12
dc.eprint.versionPost-print
dc.contributor.institutionGraduate Aerospace Laboratories, California Institute of Technology, CA 91125, USA
kaust.personCheng, W.
kaust.personSamtaney, Ravi
dc.date.published-online2020-03-12
dc.date.published-print2020-05-10


Files in this item

Thumbnail
Name:
largeeddy_simulation_and_modelling_of_taylorcouette_flow.pdf
Size:
931.9Kb
Format:
PDF
Description:
Accepted Manuscript

This item appears in the following Collection(s)

Show simple item record