2D and quasi-2D DNS of turbulent convection in vertical layers

Authors

  • Andrey Sergeevich Teymurazov Institute of Continuous Media Mechanics UB RAS
  • Andrey Yurievich Vasiliev Perm State National Research University
  • Petr Gotlobovich Frick Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2012.5.4.48

Keywords:

convection, turbulence, thin layers, DNS

Abstract

Turbulent Rayleigh-Benard convection in a bounded vertical layer of size 1×Г×1 (Г is the aspect ratio that characterizes the layer thickness) is studied by two-dimensional (2D) and quasi-two-dimensional (Q2D) direct numerical simulations (DNS) mainly performed for Rayleigh number Ra=2.2·109and Prandtl number Pr=7. The simulation results are verified by comparison with the results of an experimental investigation into the convective flow of water in a rectangular box heated from below with dimensions 250× d ×250 mm3( d varied from 15 to 50 mm). It is shown that, even in the framework of a crude model of linear friction used in the Q2D model, consideration of friction on lateral boundaries allows us to get a realistic structure of the turbulent flow with the aspect ratio. In addition, the Q2D model correctly describes the dynamics of the large-scale flow and reproduces the experimental power spectral density of velocity fluctuations.

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Published

2012-12-25

Issue

Vol. 5 No. 4 (2012)

Section

Articles

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Copyright (c) 2012 Computational Continuum Mechanics

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How to Cite

Teymurazov, A. S., Vasiliev, A. Y., & Frick, P. G. (2012). 2D and quasi-2D DNS of turbulent convection in vertical layers. Computational Continuum Mechanics, 5(4), 405-414. https://doi.org/10.7242/1999-6691/2012.5.4.48