Report
The effect of compressibility on the stability of wall-bounded Kolmogorov flow
| العنوان: | The effect of compressibility on the stability of wall-bounded Kolmogorov flow |
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| المؤلفون: | Manela A, 张俊, Zhang, J, Chinese Acad Sci, Inst Mech, Lab High Temp Gas Dynam, Beijing 100190, Peoples R China. |
| سنة النشر: | 2012 |
| المجموعة: | IMECH-IR (Institute of Mechanics, Chinese Academy of Sciences) / 中国科学院力学研究所机构知识库 |
| مصطلحات موضوعية: | Gas Dynamics, Instability, Rarefied Gas Flow, Rarefied-gas, Simulation, Regime, Taylor, 流体力学::稀薄气体力学, 一类, channel flow, aerodynamics, stability, digital computer simulation, 分离流, separation flow, 分离流动, flow instability, rayleigh taylor instability, fluid flow, chemically reactive flow, compressible flow, confined flow, flow confinement, couette flow, external flows, flow, reynolds number, stokes flow, stokes law (fluid mechanics), fluid instability |
| الوصف: | 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. |
| نوع الوثيقة: | report |
| اللغة: | English |
| Relation: | JOURNAL OF FLUID MECHANICS; Manela A,Zhang J. The effect of compressibility on the stability of wall-bounded Kolmogorov flow[J]. JOURNAL OF FLUID MECHANICS,2012,694:29-49.; http://dspace.imech.ac.cn/handle/311007/46541; http://dx.doi.org/10.1017/jfm.2011.499 |
| DOI: | 10.1017/jfm.2011.499 |
| الاتاحة: | http://dspace.imech.ac.cn/handle/311007/46541 https://doi.org/10.1017/jfm.2011.499 |
| رقم الانضمام: | edsbas.371A62F4 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1017/jfm.2011.499 |
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