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    Revisiting Reynolds and Nusselt numbers in turbulent thermal convection

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    REVISITING_revisiting.pdf
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    Type
    Article
    Authors
    Bhattacharya, Shashwat cc
    Verma, Mahendra K. cc
    Samtaney, Ravi cc
    KAUST Department
    Fluid and Plasma Simulation Group (FPS)
    Mechanical Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2021-01-01
    Preprint Posting Date
    2020-07-19
    Submitted Date
    2020-10-08
    Permanent link to this record
    http://hdl.handle.net/10754/666874
    
    Metadata
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    Abstract
    In this paper, we extend Grossmann and Lohse’s (GL) model [S. Grossmann and D. Lohse, “Thermal convection for large Prandtl numbers,” Phys. Rev. Lett. 86, 3316 (2001)] for the predictions of Reynolds number (Re) and Nusselt number (Nu) in turbulent Rayleigh–Bénard convection. Toward this objective, we use functional forms for the prefactors of the dissipation rates in the bulk and boundary layers. The functional forms arise due to inhibition of nonlinear interactions in the presence of walls and buoyancy compared to free turbulence, along with a deviation of the viscous boundary layer profile from Prandtl–Blasius theory. We perform 60 numerical runs on a three-dimensional unit box for a range of Rayleigh numbers (Ra) and Prandtl numbers (Pr) and determine the aforementioned functional forms using machine learning. The revised predictions are in better agreement with the past numerical and experimental results than those of the GL model, especially for extreme Prandtl numbers
    Citation
    Bhattacharya, S., Verma, M. K., & Samtaney, R. (2021). Revisiting Reynolds and Nusselt numbers in turbulent thermal convection. Physics of Fluids, 33(1), 015113. doi:10.1063/5.0032498
    Sponsors
    The authors thank Arnab Bhattacharya, K. R. Sreenivasan, Jörg Schumacher, and Ambrish Pandey for useful discussions. The authors thank Roshan Samuel, Ali Asad, Soumyadeep Chatterjee, and Syed Fahad Anwer for their contributions to the development of the finite-difference solver SARAS. Our numerical simulations were performed on Shaheen II of KAUST supercomputing laboratory, Saudi Arabia (Project No. k1416) and on HPC2013 of IIT Kanpur, India.
    Publisher
    AIP Publishing
    Journal
    Physics of Fluids
    DOI
    10.1063/5.0032498
    arXiv
    2007.09583
    Additional Links
    http://aip.scitation.org/doi/10.1063/5.0032498
    ae974a485f413a2113503eed53cd6c53
    10.1063/5.0032498
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Mechanical Engineering Program

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