Linear and nonlinear dynamics in radiatively forced cold water
文献类型:期刊论文
作者 | Huang, Ruiqi1; Ouyang, Zhen1; Ding, Zijing1,2![]() |
刊名 | JOURNAL OF FLUID MECHANICS
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出版日期 | 2025-05-13 |
卷号 | 1011页码:25 |
关键词 | buoyancy-driven instability bifurcation |
ISSN号 | 0022-1120 |
DOI | 10.1017/jfm.2025.396 |
通讯作者 | Ding, Zijing(z.ding@hit.edu.cn) |
英文摘要 | This paper investigates the linear and nonlinear dynamics of two-dimensional penetrative convection subjected to radiative volumetric thermal forcing, focusing on ice-covered freshwater systems. Linear stability analysis reveals how critical wavenumbers $k_c$ and Rayleigh numbers $Ra_c$ are influenced by the attenuation lengths and incoming heat flux. In this configuration, the system easily becomes unstable with a small $Ra_c$ , which is two decades smaller than that of the classical Rayleigh-B & eacute;nard convection problem, with typically $O(10)$ . Weakly nonlinear analysis figures out that this configuration is supercritical, contrasting with the subcritical case by Veronis (Astrophys. J., vol. 137, 1963, 641-663). Numerical bifurcation solutions are performed from the critical points and over several decades, up to $Ra \sim O(10<^>6)$ . This paper found that the system exhibits multiple steady solutions, and under certain specific conditions, a staircase temperature profile emerges. Meanwhile, we further discuss the influence of incoming heat flux and the Prandtl number $Pr$ on the primary bifurcation. Direct numerical simulations are also carried out, showing that heat is transported more efficiently via unsteady convection. |
WOS关键词 | RAYLEIGH-BENARD CONVECTION ; LAKE ; TEMPERATURE ; DENSITY |
资助项目 | NSFC[52176065] |
WOS研究方向 | Mechanics ; Physics |
语种 | 英语 |
WOS记录号 | WOS:001485904900001 |
资助机构 | NSFC |
源URL | [http://dspace.imech.ac.cn/handle/311007/101558] ![]() |
专题 | 力学研究所_国家微重力实验室 |
通讯作者 | Ding, Zijing |
作者单位 | 1.Harbin Inst Technol, Sch Energy Sci & Engn, Harbin, Peoples R China 2.Chinese Acad Sci, Inst Mech, Beijing, Peoples R China |
推荐引用方式 GB/T 7714 | Huang, Ruiqi,Ouyang, Zhen,Ding, Zijing. Linear and nonlinear dynamics in radiatively forced cold water[J]. JOURNAL OF FLUID MECHANICS,2025,1011:25. |
APA | Huang, Ruiqi,Ouyang, Zhen,&Ding, Zijing.(2025).Linear and nonlinear dynamics in radiatively forced cold water.JOURNAL OF FLUID MECHANICS,1011,25. |
MLA | Huang, Ruiqi,et al."Linear and nonlinear dynamics in radiatively forced cold water".JOURNAL OF FLUID MECHANICS 1011(2025):25. |
入库方式: OAI收割
来源:力学研究所
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