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    Numerical simulation of turbulent, plane parallel Couette-Poiseuille flow

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    Type
    Article
    Authors
    Cheng, W. cc
    Pullin, D. I.
    Samtaney, Ravi cc
    Luo, Xisheng cc
    KAUST Department
    Physical Science and Engineering (PSE) Division
    Mechanical Engineering Program
    Date
    2023-01-13
    Embargo End Date
    2023-07-13
    Permanent link to this record
    http://hdl.handle.net/10754/687481
    
    Metadata
    Show full item record
    Abstract
    We present numerical simulation and mean-flow modelling of statistically stationary plane Couette–Poiseuille flow in a parameter space (Re,θ) with Re = Re2 c + Re2 M and θ = arctan(ReM/Rec), where Rec, ReM are independent Reynolds numbers based on the plate speed Uc and the volume flow rate per unit span, respectively. The database comprises direct numerical simulations (DNS) at Re = 4000, 6000, wall-resolved large-eddy simulations at Re = 10 000, 20 000, and some wall-modelled large-eddy simulations (WMLES) up to Re = 1010. Attention is focused on the transition (from Couette-type to Poiseuille-type flow), defined as where the mean skin-friction Reynolds number on the bottom wall Reτ,b changes sign at θ = θc(Re). The mean flow in the (Re,θ) plane is modelled with combinations of patched classical log-wake profiles. Several model versions with different structures are constructed in both the Couette-type and Poiseuille-type flow regions. Model calculations of Reτ,b(Re,θ), Reτ,t(Re,θ) (the skin-friction Reynolds number on the top wall) and θc show general agreement with both DNS and large-eddy simulations. Both model and simulation indicate that, as θ is increased at fixed Re, Reτ,t passes through a peak at approximately θ = 45◦, while Reτ,b increases monotonically. Near the bottom wall, the flow laminarizes as θ passes through θc and then re-transitions to turbulence. As Re increases, θc increases monotonically. The transition from Couette-type to Poiseuille-type flow is accompanied by the rapid attenuation of streamwise rolls observed in pure Couette flow. A subclass of flows with Reτ,b = 0 is investigated. Combined WMLES with modelling for these flows enables exploration of the Re → ∞ limit, giving θc → 45◦ as Re → ∞.
    Citation
    Cheng, W., Pullin, D. I., Samtaney, R., & Luo, X. (2023). Numerical simulation of turbulent, plane parallel Couette–Poiseuille flow. Journal of Fluid Mechanics, 955. https://doi.org/10.1017/jfm.2022.1023
    Sponsors
    This work was supported by the National Natural Science Foundation of China (nos 12172352, 91952205 and 11621202). The Cray XC40, Shaheen, at KAUST was utilized for the reported DNS and WRLES.
    Publisher
    Cambridge University Press (CUP)
    Journal
    JOURNAL OF FLUID MECHANICS
    DOI
    10.1017/jfm.2022.1023
    Additional Links
    https://www.cambridge.org/core/product/identifier/S0022112022010230/type/journal_article
    ae974a485f413a2113503eed53cd6c53
    10.1017/jfm.2022.1023
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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