The effect of compressibility on the stability of wall-bounded Kolmogorov flow
文献类型：期刊论文
| 作者 | Manela A; Zhang J(张俊) ; Zhang, J
|
| 刊名 | JOURNAL OF FLUID MECHANICS
 |
| 出版日期 | 2012-03-01 |
| 卷号 | 694页码:29-49 |
| 通讯作者邮箱 | zhangjun04@imech.ac.cn |
| 关键词 | gas dynamics instability rarefied gas flow Rarefied-Gas Instability Simulation Regime Taylor |
| ISSN号 | 0022-1120 |
| 产权排序 | [Zhang, J.] Chinese Acad Sci, Inst Mech, Lab High Temp Gas Dynam, Beijing 100190, Peoples R China;[Manela, A.] Technion Israel Inst Technol, Fac Aerosp Engn, IL-32000 Haifa, Israel |
| 通讯作者 | Zhang, J ; Chinese Acad Sci, Inst Mech, Lab High Temp Gas Dynam, Beijing 100190, Peoples R China. |
| 合作状况 | 国内 |
| 中文摘要 | We extend the stability analysis of incompressible Kolmogorov flow, induced by a spatially periodic external force in an unbounded domain, to a compressible hard-sphere gas confined between two parallel isothermal walls. The two-dimensional problem is studied by means of temporal stability analysis of a 'slip flow' continuum-limit model and the direct simulation Monte Carlo (DSMC) method. The neutral curve is obtained in terms of the Reynolds (Re) and Knudsen (Kn) numbers, for a given non-dimensional wavenumber (2 pi n) of the external force. In the incompressible limit (Kn, Kn Re -> 0), the problem is governed only by the Reynolds number, and our neutral curve coincides with the critical Reynolds number (Re-cr) calculated in previous incompressible analyses. Fluid compressibility (Kn, Kn Re not equal 0) affects the flow field through the generation of viscous dissipation, coupling flow shear rates with irreversible heat production, and resulting in elevated bulk-fluid temperatures. This mechanism has a stabilizing effect on the system, thus increasing Re-cr (compared to its incompressible value) with increasing Kn. When compressibility effects become strong enough, transition to instability changes type from `exchange of stabilities' to 'overstability', and perturbations are dominated by fluctuations in the thermodynamic fields. Most remarkably, compressibility confines the instability to small (O(10(-3))) Knudsen numbers, above which the Kolmogorov flow is stable for all R e. Good agreement is found between 'slip flow' and DSMC analyses, suggesting the former as a useful alternative in studying the effects of various parameters on the onset of instability, particularly in the context of small Knudsen numbers considered. |
| 学科主题 | 稀薄气体力学 |
| 分类号 | 一类 |
| 收录类别 | SCI ; EI |
| 资助信息 | Part of this work was supported by the National Natural Science Foundation of China (Grant Nos. 10921062 and 11002147). We thank Professor J. Fan for his support and helpful comments during this work. |
| 原文出处 | http://dx.doi.org/10.1017/jfm.2011.499 |
| 语种 | 英语 |
| WOS记录号 | WOS:000300667200003 |
| 公开日期 | 2013-01-18 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/46541]  |
| 专题 | 力学研究所_高温气体动力学国家重点实验室 |
| 通讯作者 | Zhang, J |
| 推荐引用方式 GB/T 7714 | Manela A,Zhang J,Zhang, J. The effect of compressibility on the stability of wall-bounded Kolmogorov flow[J]. JOURNAL OF FLUID MECHANICS,2012,694:29-49. |
| APA | Manela A,张俊,&Zhang, J.(2012).The effect of compressibility on the stability of wall-bounded Kolmogorov flow.JOURNAL OF FLUID MECHANICS,694,29-49. |
| MLA | Manela A,et al."The effect of compressibility on the stability of wall-bounded Kolmogorov flow".JOURNAL OF FLUID MECHANICS 694(2012):29-49. |
入库方式： OAI收割
来源：力学研究所
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