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Oscillatory instability of Rayleigh-Marangoni-Bénard convection in two-layer liquid systems | |
Liu QS(刘秋生)![]() ![]() | |
Source Publication | Journal of Non-Equilibrium Thermodynamics
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2005 | |
Volume | 30Issue:3Pages:305-319 |
ISSN | 0340-0204 |
Abstract | The 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 |
DOI | 10.1515/JNETDY.2005.022 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000232106700009 |
WOS Research Area | Thermodynamics ; Mechanics |
WOS Subject | Thermodynamics ; Mechanics |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://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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