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dc.contributor.authorBhattacharya, Shashwat
dc.contributor.authorVerma, Mahendra K.
dc.contributor.authorSamtaney, Ravi
dc.date.accessioned2021-01-12T11:02:28Z
dc.date.available2021-01-12T11:02:28Z
dc.date.issued2021-01-01
dc.date.submitted2020-10-08
dc.identifier.citationBhattacharya, 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
dc.identifier.issn1070-6631
dc.identifier.issn1089-7666
dc.identifier.doi10.1063/5.0032498
dc.identifier.urihttp://hdl.handle.net/10754/666874
dc.description.abstractIn 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
dc.description.sponsorshipThe 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.
dc.publisherAIP Publishing
dc.relation.urlhttp://aip.scitation.org/doi/10.1063/5.0032498
dc.rightsPublished under license by AIP Publishing
dc.titleRevisiting Reynolds and Nusselt numbers in turbulent thermal convection
dc.typeArticle
dc.contributor.departmentFluid and Plasma Simulation Group (FPS)
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalPhysics of Fluids
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDepartment of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur 208016, India
dc.contributor.institutionDepartment of Physics, Indian Institute of Technology Kanpur, Kanpur 208016, India
dc.identifier.volume33
dc.identifier.issue1
dc.identifier.pages015113
dc.identifier.arxivid2007.09583
kaust.personSamtaney, Ravi
dc.date.accepted2020-12-19
refterms.dateFOA2021-01-12T11:04:43Z
kaust.acknowledged.supportUnitShaheen II


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