Buoyancy-driven instabilities around miscible A plus B→C reaction fronts: A general classification

被引:50
|
作者
Trevelyan, P. M. J. [1 ]
Almarcha, C. [1 ]
De Wit, A. [1 ]
机构
[1] ULB, Nonlinear Phys Chem Unit, Ctr Nonlinear Phenomena & Complex Syst, Fac Sci, B-1050 Brussels, Belgium
来源
PHYSICAL REVIEW E | 2015年 / 91卷 / 02期
关键词
DIFFUSIVE FINGER CONVECTION; HELE-SHAW CELL; COLOR INDICATOR; POROUS-MEDIA; STABILITY; ONSET; FLOWS;
D O I
10.1103/PhysRevE.91.023001
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Upon contact between miscible solutions of reactants A and B along a horizontal interface in the gravity field, various buoyancy-driven instabilities can develop when an A + B -> C reaction takes place and the density varies with the concentrations of the various chemicals. To classify the possible convective instability scenarios, we analyze the spatial dependence of the large time asymptotic density profiles as a function of the key parameters of the problem, which are the ratios of diffusion coefficients and of solutal expansion coefficients of species A, B, and C. We find that 62 different density profiles can develop in the reactive problem, whereas only 6 of them can be obtained in the nonreactive one.
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页数:8
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