Exploring from classical vertical convection to magnetoconvection: statistical properties of dissipation and scaling relations
文献类型:期刊论文
作者 | Zhu, HaiTao2; Chen, Long1,2; Qin, KaiYun2; Ni MJ(倪明玖)1,2 |
刊名 | JOURNAL OF FLUID MECHANICS
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出版日期 | 2025-04-21 |
卷号 | 1009页码:45 |
关键词 | vertical convection magneto convection |
ISSN号 | 0022-1120 |
DOI | 10.1017/jfm.2025.244 |
通讯作者 | Ni, Ming-Jiu(mjni@ucas.ac.cn) |
英文摘要 | We investigate the statistical properties of kinetic and thermal dissipation rates in two-dimensional/three-dimensional vertical convection of liquid metal ( $Pr = 0.032$ ) within a square cavity. Two situations are specifically discussed: (i) classical vertical convection with no external forces and (ii) vertical magnetoconvection with a horizontal magnetic field. Through an analysis of dissipation fields and a reasonable approximation of buoyancy potential energy sourced from vertical heat flux, the issue of the 'non-closure of the dissipation balance relation', which has hindered the application of the GL theory in vertical convection, is partially resolved. The resulting asymptotic power laws are consistent with existing laminar scaling theories and even show certain advantages in validating simulations with large Prandtl number ( $Pr$ ). Additionally, a full-parameter model and prefactors applicable to low- $Pr$ fluids are provided. The extension to magnetoconvection naturally introduces the approximate expression for total buoyancy potential energy and necessitates adjustments to the contributions of kinetic dissipation in both the bulk and boundary layer. The flow dimensionality and boundary layer thickness are key considerations in this analysis. The comprehension of Joule dissipation has been updated: the Lorentz force generates positive dissipation in the bulk by suppressing convection, while in the Hartmann layer, shaping the exponential boundary layer requires the fluid to perform positive work to accelerate, leading to negative dissipation. Finally, the proposed transport equations for magnetoconvection are supported by current direct numerical simulation (DNS) and literature data, and the applicability of the model is discussed. |
分类号 | 一类/力学重要期刊 |
WOS关键词 | QUASI-STATIC MAGNETOCONVECTION ; RAYLEIGH-BENARD CONVECTION ; NATURAL-CONVECTION ; THERMAL-CONVECTION ; HEAT-TRANSFER ; UNIFYING THEORY ; MHD TURBULENCE ; NUMBER ; FLOW ; TEMPERATURE |
资助项目 | Natural Science Foundation of China[12 388 101] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDB0790103] ; National Key R&D Program of China[2022YFA1204100] ; Chinese Academy of Sciences Project for Young Scientists in Basic Research[YSBR-087] |
WOS研究方向 | Mechanics ; Physics |
语种 | 英语 |
WOS记录号 | WOS:001470146900001 |
资助机构 | Natural Science Foundation of China ; Strategic Priority Research Program of Chinese Academy of Sciences ; National Key R&D Program of China ; Chinese Academy of Sciences Project for Young Scientists in Basic Research |
其他责任者 | 倪明玖 |
源URL | [http://dspace.imech.ac.cn/handle/311007/101055] ![]() |
专题 | 力学研究所_非线性力学国家重点实验室 |
作者单位 | 1.Univ Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 101408, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 101408, Peoples R China; |
推荐引用方式 GB/T 7714 | Zhu, HaiTao,Chen, Long,Qin, KaiYun,et al. Exploring from classical vertical convection to magnetoconvection: statistical properties of dissipation and scaling relations[J]. JOURNAL OF FLUID MECHANICS,2025,1009:45. |
APA | Zhu, HaiTao,Chen, Long,Qin, KaiYun,&倪明玖.(2025).Exploring from classical vertical convection to magnetoconvection: statistical properties of dissipation and scaling relations.JOURNAL OF FLUID MECHANICS,1009,45. |
MLA | Zhu, HaiTao,et al."Exploring from classical vertical convection to magnetoconvection: statistical properties of dissipation and scaling relations".JOURNAL OF FLUID MECHANICS 1009(2025):45. |
入库方式: OAI收割
来源:力学研究所
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