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    Energy Spectra and Fluxes in Dissipation Range of Turbulent and Laminar Flows

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    Type
    Article
    Authors
    Verma, M. K.
    Kumar, A.
    Kumar, P.
    Barman, S.
    Chatterjee, A. G.
    Samtaney, Ravi cc
    Stepanov, R. A.
    KAUST Department
    Fluid and Plasma Simulation Group (FPS)
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2019-02-22
    Online Publication Date
    2019-02-22
    Print Publication Date
    2018-11
    Permanent link to this record
    http://hdl.handle.net/10754/631605
    
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    Abstract
    Two well-known turbulence models to describe the energy spectrum in the inertial and dissipative ranges simultaneously are by Pao (1965) and Pope (2000). In this paper, we compute energy spectrum E(k) and energy flux Π(k) using direct numerical simulations on grids up to 40963, and show consistency between the numerical results and predictions by the aforementioned models for turbulence flows. We also consider the laminar flow in which viscosity dominates over nonlinearity. For this case we suggest a modified model that predicts E(k) ~ k−1 exp(−k) and Π(k) ~ k exp(−k) in dissipation range of scales and verify it using numerical simulations. We emphasize the difference revealing local energy transfer for the turbulent flows and nonlocal one for the laminar flows at low Reynolds number.
    Citation
    Verma MK, Kumar A, Kumar P, Barman S, Chatterjee AG, et al. (2018) Energy Spectra and Fluxes in Dissipation Range of Turbulent and Laminar Flows. Fluid Dynamics 53: 862–873. Available: http://dx.doi.org/10.1134/s0015462818050166.
    Sponsors
    We thank Mohammad Anas for a valuable feedback on ¯kd. Our numerical simulations were performed on Cray XC40 Shaheen II at KAUST supercomputing laboratory, Saudi Arabia and Chaos cluster of IIT Kanpur. This work was supported by the research grants PLANEX/PHY/2015239 from Indian Space Research Organisation India, INT/RUS/RSF/P-03 by the Department of Science and Technology India, and RSF-16-41-02012 by Russian Science Foundation for the Indo-Russian project.
    Publisher
    Pleiades Publishing Ltd
    Journal
    Fluid Dynamics
    DOI
    10.1134/s0015462818050166
    arXiv
    1705.04917
    Additional Links
    https://link.springer.com/article/10.1134%2FS0015462818050166
    http://arxiv.org/pdf/1705.04917
    ae974a485f413a2113503eed53cd6c53
    10.1134/s0015462818050166
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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