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Author:

Xu, Ao (Xu, Ao.) | Shi, Le (Shi, Le.) | Xi, Heng-Dong (Xi, Heng-Dong.)

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Abstract:

We report the statistical properties of temperature and thermal energy dissipation rate in low-Prandtl number turbulent Rayleigh-Bénard convection. High resolution two-dimensional direct numerical simulations were carried out for the Rayleigh number (Ra) of 106 ≤ Ra ≤ 107 and the Prandtl number (Pr) of 0.025. Our results show that the global heat transport and momentum scaling in terms of Nusselt number (Nu) and Reynolds number (Re) are Nu = 0.21Ra0.25 and Re = 6.11Ra0.50, respectively, indicating that scaling exponents are smaller than those for moderate-Prandtl number fluids (such as water or air) in the same convection cell. In the central region of the cell, probability density functions (PDFs) of temperature profiles show stretched exponential peak and the Gaussian tail; in the sidewall region, PDFs of temperature profiles show a multimodal distribution at relatively lower Ra, while they approach the Gaussian profile at relatively higher Ra. We split the energy dissipation rate into contributions from bulk and boundary layers and found the locally averaged thermal energy dissipation rate from the boundary layer region is an order of magnitude larger than that from the bulk region. Even if the much smaller volume occupied by the boundary layer region is considered, the globally averaged thermal energy dissipation rate from the boundary layer region is still larger than that from the bulk region. We further numerically determined the scaling exponents of globally averaged thermal energy dissipation rates as functions of Ra and Re. © 2019 Author(s).

Keyword:

Air Atmospheric thermodynamics Boundary layers Density measurement (specific gravity) Energy dissipation Heat convection Prandtl number Probability density function Probability distributions Reynolds number Temperature control Thermal energy

Author Community:

  • [ 1 ] [Xu, Ao]School of Aeronautics, Northwestern Polytechnical University, Xi'an; 710072, China
  • [ 2 ] [Shi, Le]State Key Laboratory of Electrical Insulati, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an; 710049, China
  • [ 3 ] [Xi, Heng-Dong]School of Aeronautics, Northwestern Polytechnical University, Xi'an; 710072, China

Reprint Author's Address:

  • [Xi, Heng-Dong]Northwestern Polytech Univ, Sch Aeronaut, Xian 710072, Peoples R China;;

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Source :

Physics of Fluids

ISSN: 1070-6631

Year: 2019

Issue: 12

Volume: 31

3 . 5 1 4

JCR@2019

3 . 5 2 1

JCR@2020

ESI Discipline: PHYSICS;

ESI HC Threshold:79

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 26

SCOPUS Cited Count: 44

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 16

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