Heat transport in horizontally periodic and confined Rayleigh-Bénard convection with no-slip and free-slip plates

Maojing Huang; Xiaozhou He

doi:10.1016/j.taml.2022.100330

Heat transport in horizontally periodic and confined Rayleigh-Bénard convection with no-slip and free-slip plates

Maojing Huang^*
, Xiaozhou He

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We report the results of the direct numerical simulations of two-dimensional Rayleigh-Bénard convection(RBC) in order to study the influence of the periodic (PD) and confined (CF) samples on the heat transport Nu. The numerical study is conducted with the Rayleigh number (Ra) varied in the range 10⁶≤Ra≤10⁹ at a fixed Prandtl number Pr=4.3 and aspect ratio Γ=2 with the no-slip (NS) and free-slip(FS) plates. There exists a zonal flow for Ra≥3×10⁶ with the free-slip plates in the periodic sample. In all the other cases, the flow is the closed large-scale circulation (closed LSC). The striking features are that the heat transport Nu is influenced and the temperature profiles do not be influenced when the flow pattern is zonal flow.

Original language	English
Article number	100330
Journal	Theoretical and Applied Mechanics Letters
Volume	12
Issue number	2
DOIs	https://doi.org/10.1016/j.taml.2022.100330
State	Published - Feb 2022
Externally published	Yes

Keywords

Rayleigh-Bénard convection
Temperature profile
Turbulence
Zonal flow

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10.1016/j.taml.2022.100330

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title = "Heat transport in horizontally periodic and confined Rayleigh-B{\'e}nard convection with no-slip and free-slip plates",

abstract = "We report the results of the direct numerical simulations of two-dimensional Rayleigh-B{\'e}nard convection(RBC) in order to study the influence of the periodic (PD) and confined (CF) samples on the heat transport Nu. The numerical study is conducted with the Rayleigh number (Ra) varied in the range 106≤Ra≤109 at a fixed Prandtl number Pr=4.3 and aspect ratio Γ=2 with the no-slip (NS) and free-slip(FS) plates. There exists a zonal flow for Ra≥3×106 with the free-slip plates in the periodic sample. In all the other cases, the flow is the closed large-scale circulation (closed LSC). The striking features are that the heat transport Nu is influenced and the temperature profiles do not be influenced when the flow pattern is zonal flow.",

keywords = "Rayleigh-B{\'e}nard convection, Temperature profile, Turbulence, Zonal flow",

author = "Maojing Huang and Xiaozhou He",

note = "Publisher Copyright: {\textcopyright} 2022 The Author(s)",

year = "2022",

month = feb,

doi = "10.1016/j.taml.2022.100330",

language = "英语",

volume = "12",

journal = "Theoretical and Applied Mechanics Letters",

issn = "2095-0349",

publisher = "Elsevier B.V.",

number = "2",

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TY - JOUR

T1 - Heat transport in horizontally periodic and confined Rayleigh-Bénard convection with no-slip and free-slip plates

AU - Huang, Maojing

AU - He, Xiaozhou

PY - 2022/2

Y1 - 2022/2

N2 - We report the results of the direct numerical simulations of two-dimensional Rayleigh-Bénard convection(RBC) in order to study the influence of the periodic (PD) and confined (CF) samples on the heat transport Nu. The numerical study is conducted with the Rayleigh number (Ra) varied in the range 106≤Ra≤109 at a fixed Prandtl number Pr=4.3 and aspect ratio Γ=2 with the no-slip (NS) and free-slip(FS) plates. There exists a zonal flow for Ra≥3×106 with the free-slip plates in the periodic sample. In all the other cases, the flow is the closed large-scale circulation (closed LSC). The striking features are that the heat transport Nu is influenced and the temperature profiles do not be influenced when the flow pattern is zonal flow.

AB - We report the results of the direct numerical simulations of two-dimensional Rayleigh-Bénard convection(RBC) in order to study the influence of the periodic (PD) and confined (CF) samples on the heat transport Nu. The numerical study is conducted with the Rayleigh number (Ra) varied in the range 106≤Ra≤109 at a fixed Prandtl number Pr=4.3 and aspect ratio Γ=2 with the no-slip (NS) and free-slip(FS) plates. There exists a zonal flow for Ra≥3×106 with the free-slip plates in the periodic sample. In all the other cases, the flow is the closed large-scale circulation (closed LSC). The striking features are that the heat transport Nu is influenced and the temperature profiles do not be influenced when the flow pattern is zonal flow.

KW - Rayleigh-Bénard convection

KW - Temperature profile

KW - Turbulence

KW - Zonal flow

UR - https://www.scopus.com/pages/publications/85126535265

U2 - 10.1016/j.taml.2022.100330

DO - 10.1016/j.taml.2022.100330

M3 - 文章

AN - SCOPUS:85126535265

SN - 2095-0349

VL - 12

JO - Theoretical and Applied Mechanics Letters

JF - Theoretical and Applied Mechanics Letters

IS - 2

M1 - 100330

ER -

Heat transport in horizontally periodic and confined Rayleigh-Bénard convection with no-slip and free-slip plates

Abstract

Keywords

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