中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
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
出版日期2025-04-21
卷号1009页码:45
关键词vertical convection magneto convection
ISSN号0022-1120
DOI10.1017/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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