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    Scaling and spatial intermittency of thermal dissipation in turbulent convection

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    Type
    Article
    Authors
    Bhattacharya, Shashwat
    Samtaney, Ravi cc
    Verma, Mahendra K.
    KAUST Department
    Fluid and Plasma Simulation Group (FPS)
    Mechanical Engineering
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    KAUST Grant Number
    Project No. k1052
    Date
    2019-07-16
    Preprint Posting Date
    2019-04-06
    Online Publication Date
    2019-07-16
    Print Publication Date
    2019-07
    Embargo End Date
    2020-07-16
    Permanent link to this record
    http://hdl.handle.net/10754/656183
    
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    Abstract
    We derive scaling relations for the thermal dissipation rate in the bulk and in the boundary layers for moderate and large Prandtl number (Pr) convection. Using direct numerical simulations of Rayleigh-Bénard convection, we show that the thermal dissipation in the bulk is suppressed compared to passive scalar dissipation. The suppression is stronger for large Pr. We further show that the dissipation in the boundary layers dominates that in the bulk for both moderate and large Pr. The probability distribution functions of thermal dissipation rate, both in the bulk and in the boundary layers, are stretched exponential, similar to passive scalar dissipation.
    Citation
    Bhattacharya, S., Samtaney, R., & Verma, M. K. (2019). Scaling and spatial intermittency of thermal dissipation in turbulent convection. Physics of Fluids, 31(7), 075104. doi:10.1063/1.5098073
    Sponsors
    We thank A. Pandey, A. Guha, and R. Samuel for useful discussions. Our numerical simulations were performed on Shaheen II at Kaust Supercomputing Laboratory, Saudi Arabia, under the Project No. k1052. This work was supported by the research Grant No. PLANEX/PHY/2015239 from Indian Space Research Organisation, India, and by the Department of Science and Technology, India (Grant No. INT/RUS/RSF/P-03), and the Russian Science Foundation, Russia (Grant No. RSF-16-41-02012), for the Indo-Russian project.
    Publisher
    AIP Publishing
    Journal
    Physics of Fluids
    DOI
    10.1063/1.5098073
    arXiv
    1904.03457
    Additional Links
    http://aip.scitation.org/doi/10.1063/1.5098073
    ae974a485f413a2113503eed53cd6c53
    10.1063/1.5098073
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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