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Oscillatory instability of Rayleigh-Marangoni-Bénard convection in two-layer liquid systems
Liu QS(刘秋生); Zhou BH; Tang ZM(唐泽眉)
Source PublicationJournal of Non-Equilibrium Thermodynamics
2005
Volume30Issue:3Pages:305-319
ISSN0340-0204
AbstractThe oscillatory behaviour of the Rayleigh-Marangoni-Bénard convective instability (R-M-B instability) regarding two combinations of two-layer fluid systems has been investigated theoretically and numerically. For the two-layer system of Silicone oil (10cSt) over Fluorinert (FC70), both linear instability analysis and 2D numerical simulation show that the instability of the system depends strongly on the depth ratio Hr = H1/H2 of the two-layer liquid. The oscillatory regime at the onset of R-M-B convection enlarges with reducing Γ = Ra/Ma values. In the two-layer system of Silicone oil (2cSt) over water, it loses its stability and onsets to steady convection at first, then the steady convection bifurcates to oscillatory convection with increasing Rayleigh number Ra. This behaviour was found through numerical simulation above the onset of steady convection in the case of r = 2.9, ε=(Ra-Ruc)/Rac = 1.0, and Hr = 0.5. Our findings are different from the previous study of the Rayleigh-Benard instability and show the strong effects of the thermocapillary force at the interface on the time-dependent oscillations at or after the onset of convection. We propose a secondary oscillatory instability mechanism to explain the experimental observation of Degen et al. [Phys. Rev. E, 57 (1998), 6647-6659].
Subject Area力学
DOI10.1515/JNETDY.2005.022
Indexed BySCI ; EI
Language英语
WOS IDWOS:000232106700009
WOS Research AreaThermodynamics ; Mechanics
WOS SubjectThermodynamics ; Mechanics
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/16866
Collection力学所知识产出(1956-2008)
Recommended Citation
GB/T 7714
Liu QS,Zhou BH,Tang ZM. Oscillatory instability of Rayleigh-Marangoni-Bénard convection in two-layer liquid systems[J]. Journal of Non-Equilibrium Thermodynamics,2005,30,3,:305-319.
APA Liu QS,Zhou BH,&Tang ZM.(2005).Oscillatory instability of Rayleigh-Marangoni-Bénard convection in two-layer liquid systems.Journal of Non-Equilibrium Thermodynamics,30(3),305-319.
MLA Liu QS,et al."Oscillatory instability of Rayleigh-Marangoni-Bénard convection in two-layer liquid systems".Journal of Non-Equilibrium Thermodynamics 30.3(2005):305-319.
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