Large-scale circulation and oscillation in turbulent Rayleigh–Bénard convection with a Prandtl number Pr = 12.3

An experimental study of the three-dimensional spatial structure of low-frequency temperature oscillations in cylindrical Rayleigh–Bénard convection of a fluid with a Prandtl number Pr = 12.3, aspect ratio Γ ≡ D/L = 1.00 (D is the diameter, and L is the height) and Rayleigh-number 5 × 1010 < Ra &...

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Main Author: Ping Wei
Format: Article
Language:English
Published: AIP Publishing LLC 2021-01-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/5.0029759
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spelling doaj-17702d98967241fda325ac9cdd6767df2021-02-02T21:32:44ZengAIP Publishing LLCAIP Advances2158-32262021-01-01111015111015111-810.1063/5.0029759Large-scale circulation and oscillation in turbulent Rayleigh–Bénard convection with a Prandtl number Pr = 12.3Ping Wei0School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, ChinaAn experimental study of the three-dimensional spatial structure of low-frequency temperature oscillations in cylindrical Rayleigh–Bénard convection of a fluid with a Prandtl number Pr = 12.3, aspect ratio Γ ≡ D/L = 1.00 (D is the diameter, and L is the height) and Rayleigh-number 5 × 1010 < Ra < 3 × 1011 is reported. The flow structure was measured using 3 sets of 8 thermal probes, each distributed uniformly around the periphery at heights L/4, L/2, and 3L/4 from the bottom. At the top/bottom layer, the large-scale circulation (LSC) consisted of two well-identified cold/hot flows. These cold/hot flows traveled to mid-height, where only the fluctuation in the temperature reveals the existence of two cold/hot flows. The oscillatory frequency corresponding to the turnover frequency of the LSC was only found at the location where the cold/hot flows were present. There is a discrepancy between the Reynolds number based on the turnover frequency of the LSC in the present work and GL prediction. This discrepancy is consistent with the study by Brown, Funfschilling, and Ahlers (J. Stat. Mech. 2007, P10005-1–P10005-22), indicating that there is a new state in Ra > Ra* where the LSC is no longer a coherent single-roll structure. Ra* for Pr = 12.3 is 1 × 1010.http://dx.doi.org/10.1063/5.0029759
collection DOAJ
language English
format Article
sources DOAJ
author Ping Wei
spellingShingle Ping Wei
Large-scale circulation and oscillation in turbulent Rayleigh–Bénard convection with a Prandtl number Pr = 12.3
AIP Advances
author_facet Ping Wei
author_sort Ping Wei
title Large-scale circulation and oscillation in turbulent Rayleigh–Bénard convection with a Prandtl number Pr = 12.3
title_short Large-scale circulation and oscillation in turbulent Rayleigh–Bénard convection with a Prandtl number Pr = 12.3
title_full Large-scale circulation and oscillation in turbulent Rayleigh–Bénard convection with a Prandtl number Pr = 12.3
title_fullStr Large-scale circulation and oscillation in turbulent Rayleigh–Bénard convection with a Prandtl number Pr = 12.3
title_full_unstemmed Large-scale circulation and oscillation in turbulent Rayleigh–Bénard convection with a Prandtl number Pr = 12.3
title_sort large-scale circulation and oscillation in turbulent rayleigh–bénard convection with a prandtl number pr = 12.3
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2021-01-01
description An experimental study of the three-dimensional spatial structure of low-frequency temperature oscillations in cylindrical Rayleigh–Bénard convection of a fluid with a Prandtl number Pr = 12.3, aspect ratio Γ ≡ D/L = 1.00 (D is the diameter, and L is the height) and Rayleigh-number 5 × 1010 < Ra < 3 × 1011 is reported. The flow structure was measured using 3 sets of 8 thermal probes, each distributed uniformly around the periphery at heights L/4, L/2, and 3L/4 from the bottom. At the top/bottom layer, the large-scale circulation (LSC) consisted of two well-identified cold/hot flows. These cold/hot flows traveled to mid-height, where only the fluctuation in the temperature reveals the existence of two cold/hot flows. The oscillatory frequency corresponding to the turnover frequency of the LSC was only found at the location where the cold/hot flows were present. There is a discrepancy between the Reynolds number based on the turnover frequency of the LSC in the present work and GL prediction. This discrepancy is consistent with the study by Brown, Funfschilling, and Ahlers (J. Stat. Mech. 2007, P10005-1–P10005-22), indicating that there is a new state in Ra > Ra* where the LSC is no longer a coherent single-roll structure. Ra* for Pr = 12.3 is 1 × 1010.
url http://dx.doi.org/10.1063/5.0029759
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