Contribution of Reynolds shear stress to near-wall turbulence in Rayleigh–Bénard convection

Junsun Ahn, Ki Ha Kim, Xiaomin Pan, Jung Il Choi

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Direct numerical simulations of Rayleigh–Bénard convection flows are performed for Pr=0.7 with Ra=5×108 and 2×1010, and for Pr=0.021 with Ra=107 and 5×108, where Pr and Ra are the Prandtl number and the Rayleigh number, respectively. The velocity-gradient production based on the short-time averaging shows the near-wall intensive positive peak and negative region. The correlations between the Reynolds shear stresses and the wall-normal and transverse gradients of the horizontal mean velocities locally and temporally result in the positive and negative velocity-gradient production near the wall. The eigenvalues of the anisotropic Reynolds stress tensors on the barycentric map show that the short-lived anisotropy related to the one-directional stretching occurs along the wall-normal distance; this behavior is similar to that of a canonical turbulent channel flow. The results indicate that the local and temporal Reynolds shear stresses near the wall with the shear of the horizontal mean velocities play an important role in the near-wall velocity-gradient production, which leads to the turbulent regime in the Rayleigh–Bénard convection flow with an increase in Rayleigh number.

Original languageEnglish
Article number121873
JournalInternational Journal of Heat and Mass Transfer
Publication statusPublished - 2021 Dec

Bibliographical note

Funding Information:
This work was supported by KISTI ( KSC-2018-CHA-0007 and KSC-2019-CHA-0010 ), and National Research Foundation of Korea ( NRF ) grant funded by the Korean government ( Ministry of Science and ICT ) ( NRF-2017R1E1A1A0-3070161 , NRF-20151009350 and NRF-2020R1G1A1003512 ).

Publisher Copyright:
© 2021 Elsevier Ltd

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes


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