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    Numerical simulation and global linear stability analysis of low-Re flow past a heated circular cylinder

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    Type
    Article
    Authors
    Zhang, Wei cc
    Samtaney, Ravi cc
    KAUST Department
    Fluid and Plasma Simulation Group (FPS)
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    URF/1/1394-01
    Date
    2016-03-31
    Online Publication Date
    2016-03-31
    Print Publication Date
    2016-07
    Permanent link to this record
    http://hdl.handle.net/10754/621643
    
    Metadata
    Show full item record
    Abstract
    We perform two-dimensional unsteady Navier-Stokes simulation and global linear stability analysis of flow past a heated circular cylinder to investigate the effect of aided buoyancy on the stabilization of the flow. The Reynolds number of the incoming flow is fixed at 100, and the Richardson number characterizing the buoyancy is varied from 0.00 (buoyancy-free case) to 0.10 at which the flow is still unsteady. We investigate the effect of aided buoyancy in stabilizing the wake flow, identify the temporal and spatial characteristics of the growth of the perturbation, and quantify the contributions from various terms comprising the perturbed kinetic energy budget. Numerical results reveal that the increasing Ri decreases the fluctuation magnitude of the characteristic quantities monotonically, and the momentum deficit in the wake flow decays rapidly so that the flow velocity recovers to that of the free-stream; the strain on the wake flow is reduced in the region where the perturbation is the most greatly amplified. Global stability analysis shows that the temporal growth rate of the perturbation decreases monotonically with Ri, reflecting the stabilization of the flow due to aided buoyancy. The perturbation grows most significantly in the free shear layer separated from the cylinder. As Ri increases, the location of maximum perturbation growth moves closer to the cylinder and the perturbation decays more rapidly in the far wake. The introduction of the aided buoyancy alters the base flow, and destabilizes the near wake shear layer mainly through the strain-induced transfer term and the pressure term of the perturbed kinetic energy, whereas the flow is stabilized in the far wake as the strain is alleviated. © 2016 Elsevier Ltd. All rights reserved.
    Citation
    Zhang W, Samtaney R (2016) Numerical simulation and global linear stability analysis of low-Re flow past a heated circular cylinder. International Journal of Heat and Mass Transfer 98: 584–595. Available: http://dx.doi.org/10.1016/j.ijheatmasstransfer.2016.03.058.
    Sponsors
    The work was supported by the KAUST Office of Competitive Research Funds under Award No. URF/1/1394-01. The IBM Blue Gene/P Shaheen at KAUST was utilized for the simulations.
    Publisher
    Elsevier BV
    Journal
    International Journal of Heat and Mass Transfer
    DOI
    10.1016/j.ijheatmasstransfer.2016.03.058
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.ijheatmasstransfer.2016.03.058
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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